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SEO Keyword summary for en.wikipedia.org/wiki/hamiltonian_(quantum_mechanics)
Keywords are extracted from the main content of your website and are the primary indicator of the words this page could rank for. By frequenty count we expect your focus keyword to be displaystyle
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Short Tail Keywords displaystyle frac mathbf |
long Tail Keywords (2 words) potential energy partial 2partial mathbf r kinetic energy h-frac hbar |
long Tail Keywords (3 words) mathbf hat p hat h-frac hbar hbar 22mfrac partial 22mfrac partial 2partial frac partial langle partial langle hrangle langle hrangle partial |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/hamiltonian_(quantum_mechanics) page is used to inform the browser and visitors of the page about the general meta information. The head section of the page is where we place the page title, the definition of the HTML version used, the language of in which the page is written. In the head section we can also include JavaScript and CSS (markup) files for the page.
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hamiltonian quantum mechanics wikipedia
Meta description
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Content SEO
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Headings
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Emphasis (bold and italic)
Emphasis SEO impact
Images
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wikipedia free encyclopedia displaystyle hat check hhat vvvmathbf tfrac mathbf cdot mfrac hbar mnabla pihbar nabla frac partial beginalignedhat ptfrac mvmathbf vmathbf tendaligned psi beginalignedkefrac mint infty leftfrac rightdxfrac mleftleftpsi xpsi xrightinfty int dpsi dxrightleftfrac dxrightdxrightfrac dxright dxgeq endaligned ekelangle vxrangle keint vxpsi vtextminxint vtextminx hsum nhat tnhat vvmathbf ldots tnfrac ncdot mnfrac mnnabla ptsum nfrac mnvmathbf sum ntendaligned icdot vsum nvmathbf itvmathbf tvmathbf tcdots hfrac minabla nvi nleftfrac viright hiendaligned leftpsi trightrangle hleftpsi ihbar over dtleftpsi eihthbar rightrangle ueihthbar leftarightrangle hleftarightrangle ealeftarightrangle vfrac momega omega xyz mleftfrac rightfrac leftx right ptleftfrac rightleftfrac rightendaligned ixxhat iyyhat izzhat ixx iyy izz varepsilon vjfrac ineq jqiphi ifrac jfrac qiqjmathbf imathbf phi nsum mjnabla jsum jrightendaligned qmathbf hmathbf boldsymbol vboldsymbol hboldsymbol sfrac gse mmathbf mdot dot mleftmathbf vqphi mleftihbar qphi arangle uarangle uharangle ueaarangle eauarangle huarangle uiivarepsilon govarepsilon tlangle tgpsi trangle langle tghpsi thihbar dtlangle leftleftnrightrangle nnrangle delta lefttrightrightrangle nantnrangle antlangle npsi ant htrangle mathrel stackrel mathrm def thpsi nnananlangle nhnrangle hrangle ansum nanlangle nhpsi rangle anihbar anpartial ntihbar tquad anfrac npartial edit wikidata wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/hamiltonian_(quantum_mechanics)
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SERP Title
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Domain Level SEO
Domain name
16 characters long
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Path name
hamiltonian found in path !
mechanics found in path !
quantum found in path !
Structured data
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statistics
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w httpsenwikipediaorgwindexphptitlehamiltonianquantummechanicsoldid1242858590
page information
printable version
quantum correlator
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wiki quantum mechanics
operators in physics
kinetic energy
potential energy
spectrum of an operator
timeevolution
formulations
hamilton
newtonian mechanics
hamiltonian mechanics
vector notation
energy
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spinuniqtemplatestyles00000069qinu12
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In this section we provide pointers on how you can to optimize your web page so it can be found more easily by search engines and how to make it rank higher by optimizing the content of the page itself. For each of the individual criteria the maximum score is 100%. A score below 70% is considered to be indication that the page is not complying with general SEO standards and should be evaluated and/or fixed. Not every factor is weighted the same and some are not as important as others. Relatively unimportant factors like meta keywords are not included in the overall score.
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PageTitle | 100% | Far too many sites lack a page title. A page title is the first thing that shows in the search results so always use the title element. | |
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Title Length | 100% | Limit your title to anywhere between 40 and 70 characters. Your title was 44 characters long | |
Meta Description | 0% | A meta description is the second element that shows in the search results so always use the meta description. | |
Meta description length | 0% | The meta description should be between 145 and 160 characters. This meta description is 1 characters long. | |
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Number of internal links | 30% | Linking to internal pages makes pages easier to find for search engines. Try to keep the number of links on your page roughly below 100. There are 303 internal links on this page. | |
Folder structure | 100% | We found a folder structure in the links on your page. A good folder structure makes a site easier to navigate. We found 3 level 1 folders and 7 folders above or in the first level of navigation. | |
Headings | 48% | Headers should reflect the contents of a site. This site has a 21 % match | |
Links | 8% | Link anchors should to some degree reflect the contents of a site. This site has a 4 % match | |
Image alt tags | 25% | Image alt tags should to some degree reflect the contents of a site. This site has a 9 % match | |
Bold and italic | 78% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 26 % match | |
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Keywords in Domainname | 30% | There are no important keywords in your domain name | |
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Structured Data | 100% | Structured data makes it easier for search engines to index your website | |
Inline css | 0% | Do not use inline css declarations. Inline css will slow down the rendering of the website. We detected 398 inline style declarations ( <a style="color:green">) with a size of 12525 bytes | |
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Css | 30% | We detected too much (2) CSS files on your page. Css files block the loading of a webpage. | |
Javascript | 100% | Perfect, we did not detect too many blocking JavaScript files | |
Mobile Website | 100% | Perfect, we found a responsive design for mobile users | |
Most important heading | 100% | Perfect, we detected a correct use of the most important (h1) heading! | |
Normalized headings | 40% | We dit not font a normalized heading structure. A heading 2 (h2) for example should be followed by a heading of an equal level (h2), a child heading (h3) or even a aprent heading (h1). |
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en.wikipedia.org images and descriptions
132 images found at en.wikipedia.org Images can improve the user experience for a website by making a pag visually appealing Images can also add extra keyword relevance to a webpage by using alt tags. Images can also slow down a website. If the width and height for a picture is not specified for a browser know in advance how large the image is. A browser must first load the picture and see before it knows how much space should be on the page. Upon reservation In the meantime, the browser can do little but wait. When the height and width for the plate are given in the HTML code, a browser just continues to build for a page while the images load in the background.
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0ebc8f44d7a0037b7a176cc9698ce53d2ca695e2 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {h}}=-{\frac {\hbar ^{2}}{2m}}{\frac {\partial ^{2}}{\partial x^{2}}}+v_{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7e03f6c6584cde6223c18e0d52c3f48ff69a8a46 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {h}}=-{\frac {\hbar ^{2}}{2m}}\nabla ^{2}+v_{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/351cf2b8fd9e9f2f138f9577dbc5a79f690f86f3 height: height attribute not set width: width attribute not set description: {\displaystyle v={\frac {k}{2}}x^{2}={\frac {m\omega ^{2}}{2}}x^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8 height: height attribute not set width: width attribute not set description: {\displaystyle \omega } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40 height: height attribute not set width: width attribute not set description: {\displaystyle k} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f4e98436665d031f5893adfa65e5382576098b81 height: height attribute not set width: width attribute not set description: {\displaystyle \omega ^{2}={\frac {k}{m}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/113fbf59cc852bfe9b2e835f38535093210f563c height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {h}}=-{\frac {\hbar ^{2}}{2m}}{\frac {\partial ^{2}}{\partial x^{2}}}+{\frac {m\omega ^{2}}{2}}x^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1422b298a5d9ec2145f1c7bfe14dd3137e147891 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {h}}=-{\frac {\hbar ^{2}}{2m}}\nabla ^{2}+{\frac {m\omega ^{2}}{2}}r^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/eca0f46511c4c986c48b254073732c0bd98ae0c1 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {r} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/22a8c93372e8f8b6e24d523bd5545aed3430baf4 height: height attribute not set width: width attribute not set description: {\displaystyle (x,y,z)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ed80ac062e68a8cde089fc5b43926b2bc69bb394 height: height attribute not set width: width attribute not set description: {\displaystyle r^{2}=\mathbf {r} \cdot \mathbf {r} =|\mathbf {r} |^{2}=x^{2}+y^{2}+z^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bb5266b5f61047e72a2f39c47b66faf660ebd659 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}{\hat {h}}&=-{\frac {\hbar ^{2}}{2m}}\left({\frac {\partial ^{2}}{\partial x^{2}}}+{\frac {\partial ^{2}}{\partial y^{2}}}+{\frac {\partial ^{2}}{\partial z^{2}}}\right)+{\frac {m\omega ^{2}}{2}}\left(x^{2}+y^{2}+z^{2}\right)\\[6pt]&=\left(-{\frac {\hbar ^{2}}{2m}}{\frac {\partial ^{2}}{\partial x^{2}}}+{\frac {m\omega ^{2}}{2}}x^{2}\right)+\left(-{\frac {\hbar ^{2}}{2m}}{\frac {\partial ^{2}}{\partial y^{2}}}+{\frac {m\omega ^{2}}{2}}y^{2}\right)+\left(-{\frac {\hbar ^{2}}{2m}}{\frac {\partial ^{2}}{\partial z^{2}}}+{\frac {m\omega ^{2}}{2}}z^{2}\right)\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/541ae78c8003211be8460aef6b8b6a23ffa79367 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {h}}=-{\frac {\hbar ^{2}}{2i_{xx}}}{\hat {j}}_{x}^{2}-{\frac {\hbar ^{2}}{2i_{yy}}}{\hat {j}}_{y}^{2}-{\frac {\hbar ^{2}}{2i_{zz}}}{\hat {j}}_{z}^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/23d06dfedcfe6aa332c557ec72c913472732de65 height: height attribute not set width: width attribute not set description: {\displaystyle i_{xx}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/198e446f7fc446d3d3b304e92b140035f47cc49a height: height attribute not set width: width attribute not set description: {\displaystyle i_{yy}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/168645154f8c026d4d6ca46925d83bf5bce57939 height: height attribute not set width: width attribute not set description: {\displaystyle i_{zz}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6f1a3fa2d259fac5e64ae442669d54829b792109 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {j}}_{x}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cbe1f5b78d7c9f8a33b121abba4145e750c1c78f height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {j}}_{y}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a693bfe172f6b45b3faba47ab326bd20bd116789 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {j}}_{z}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4 height: height attribute not set width: width attribute not set description: {\displaystyle x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d height: height attribute not set width: width attribute not set description: {\displaystyle y} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bf368e72c009decd9b6686ee84a375632e11de98 height: height attribute not set width: width attribute not set description: {\displaystyle z} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9daa41f6e8f78ea6bb5711d7ac97901ce564b94e height: height attribute not set width: width attribute not set description: {\displaystyle q_{1}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fd2d05084feb02b8ba29b0673440fb673b102589 height: height attribute not set width: width attribute not set description: {\displaystyle q_{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cad6ba1fa8fc61d4b3fea42fa475672e0bee0f0b height: height attribute not set width: width attribute not set description: {\displaystyle v={\frac {q_{1}q_{2}}{4\pi \varepsilon _{0}|\mathbf {r} |}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e0d567ac2d170501680d2efa4c1d71d6a8569ef1 height: height attribute not set width: width attribute not set description: {\displaystyle q_{j}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b28d0fc0db9998c7bd98ee1ac2f456fd5455ca27 height: height attribute not set width: width attribute not set description: {\displaystyle v_{j}={\frac {1}{2}}\sum _{i\neq j}q_{i}\phi (\mathbf {r} _{i})={\frac {1}{8\pi \varepsilon _{0}}}\sum _{i\neq j}{\frac {q_{i}q_{j}}{|\mathbf {r} _{i}-\mathbf {r} _{j}|}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6364aefe582c86979ff3a378b13b7588f70c815a height: height attribute not set width: width attribute not set description: {\displaystyle \phi (\mathbf {r} _{i})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ed603561819ebd007acd75a0931d3ba401ad677a height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {r} _{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2f461e54f5c093e92a55547b9764291390f0b5d0 height: height attribute not set width: width attribute not set description: {\displaystyle j} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e68baeb6689948cc17906471f2a4ab9a1fa97516 height: height attribute not set width: width attribute not set description: {\displaystyle v={\frac {1}{8\pi \varepsilon _{0}}}\sum _{j=1}^{n}\sum _{i\neq j}{\frac {q_{i}q_{j}}{|\mathbf {r} _{i}-\mathbf {r} _{j}|}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/29ad26451abe12bca208b3d8be82ed2e10ff8c25 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}{\hat {h}}&=-{\frac {\hbar ^{2}}{2}}\sum _{j=1}^{n}{\frac {1}{m_{j}}}\nabla _{j}^{2}+{\frac {1}{8\pi \varepsilon _{0}}}\sum _{j=1}^{n}\sum _{i\neq j}{\frac {q_{i}q_{j}}{|\mathbf {r} _{i}-\mathbf {r} _{j}|}}\\&=\sum _{j=1}^{n}\left(-{\frac {\hbar ^{2}}{2m_{j}}}\nabla _{j}^{2}+{\frac {1}{8\pi \varepsilon _{0}}}\sum _{i\neq j}{\frac {q_{i}q_{j}}{|\mathbf {r} _{i}-\mathbf {r} _{j}|}}\right)\\\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8ec3b626fc045b6ff579316e29978fccfed884c2 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {d} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0d7f22b39d51f780fc02859059c1757c606b9de2 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {e} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/badea711f617c9622426a1ac698cdd4c5d1000d6 height: height attribute not set width: width attribute not set description: {\displaystyle v=-\mathbf {\hat {d}} \cdot \mathbf {e} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cee2de2111312ee9566dfc9eeeb63b61548ecbc0 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {\hat {d}} =q\mathbf {\hat {r}} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6b1209643d630d7aff79b8333091f49902907d8b height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {h}}=-\mathbf {\hat {d}} \cdot \mathbf {e} =-q\mathbf {\hat {r}} \cdot \mathbf {e} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a1aee7d7b4a36d96dfb35bfee9c7751bba1fdfbe height: height attribute not set width: width attribute not set description: {\displaystyle {\boldsymbol {\mu }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cafb0ef39b0f5ffa23c170aa7f7b4e718327c4d1 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {b} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6936db20c8d8c40568d28dfd246108f7303f956b height: height attribute not set width: width attribute not set description: {\displaystyle v=-{\boldsymbol {\mu }}\cdot \mathbf {b} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8bc074e4989efa6a7a498eb5c0d8c97f8623e9bd height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {h}}=-{\boldsymbol {\mu }}\cdot \mathbf {b} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/58cb9b9e0665e7e65f7f8d6b2f20a710bb174964 height: height attribute not set width: width attribute not set description: {\displaystyle {\boldsymbol {\mu }}_{s}={\frac {g_{s}e}{2m}}\mathbf {s} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7ddd218a9b5b346d0dd85e51359c7cab5adf8697 height: height attribute not set width: width attribute not set description: {\displaystyle g_{s}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cd253103f0876afc68ebead27a5aa9867d927467 height: height attribute not set width: width attribute not set description: {\displaystyle e} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ac8a515de34f0af7d15de46f73bf674950d444a8 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {s} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fdc3361e472b3024e3379994b9dcbbdda647dd9c height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {h}}={\frac {g_{s}e}{2m}}\mathbf {s} \cdot \mathbf {b} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/72b1f30316670aee6270a28334bdf4f5072cdde4 height: height attribute not set width: width attribute not set description: {\displaystyle \phi } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0795cc96c75d81520a120482662b90f024c9a1a1 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {a} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/df42593e56d14c2122d2f0a4e9bb809d529252c0 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {\hat {p}} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/434eafd536115f1f91a0ad2a0f88e1bc9de9d9cd height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {\hat {p}} =m{\dot {\mathbf {r} }}+q\mathbf {a} ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4c597201e71e52f5a1514f59aaf8d7263659f413 height: height attribute not set width: width attribute not set description: {\displaystyle m{\dot {\mathbf {r} }}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/705ca0bef90d1e04e0fb35a6b66d119628b22cdd height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {\hat {p}} =-i\hbar \nabla ,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/66aec84c1cf707c2effa9c4fdefd116a82df8644 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {t}}={\frac {1}{2}}m{\dot {\mathbf {r} }}\cdot {\dot {\mathbf {r} }}={\frac {1}{2m}}\left(\mathbf {\hat {p}} -q\mathbf {a} \right)^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8b4edac075fc991d0ce3e44528c7775ce4cd9d1b height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {v}}=q\phi .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3284a7250dbd774ada7992c9fbbd91e67d43d899 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {h}}={\frac {1}{2m}}\left(-i\hbar \nabla -q\mathbf {a} \right)^{2}+q\phi .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/458a728f53b9a0274f059cd695e067c430956025 height: height attribute not set width: width attribute not set description: {\displaystyle u} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/022d80b506eff10c19feb8b5b70bc8c72baa1fa1 height: height attribute not set width: width attribute not set description: {\displaystyle |a\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ae0c3c4c6e7778a3e1a174a32f9591340fc0d10e height: height attribute not set width: width attribute not set description: {\displaystyle u|a\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8ab44a1343e93399290c0245cd589f4469c546ea height: height attribute not set width: width attribute not set description: {\displaystyle uh|a\rangle =ue_{a}|a\rangle =e_{a}(u|a\rangle )=h\;(u|a\rangle ).} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f5f3c8921a3b352de45446a6789b104458c9f90b height: height attribute not set width: width attribute not set description: {\displaystyle g} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7d4f107974ad9b0956495069bae8b66131e03b1a height: height attribute not set width: width attribute not set description: {\displaystyle u=i-i\varepsilon g+o(\varepsilon ^{2})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/0a0488ee00fe98e52930b366705f78bf7ec7e7a5 height: height attribute not set width: width attribute not set description: {\displaystyle [h,g]=0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/32552e107d9aefd6219289bfa4b1b7d03b696bd0 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\partial }{\partial t}}\langle \psi (t)|g|\psi (t)\rangle ={\frac {1}{i\hbar }}\langle \psi (t)|[g,h]|\psi (t)\rangle =0.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/14782b9f4c93d02bef46f0b54b65d2706dd486ef height: height attribute not set width: width attribute not set description: {\displaystyle \langle \psi (t)|h=-i\hbar {d \over \ dt}\langle \psi (t)|.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f5f6583921deccf0138e7a01258dd4616d7b3103 height: height attribute not set width: width attribute not set description: {\displaystyle \left\{\left|n\right\rangle \right\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dee702d319e18cbfed5cb266a2f139ad89e51d3b height: height attribute not set width: width attribute not set description: {\displaystyle \langle n'|n\rangle =\delta _{nn'}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c56e2ffd124d44e11e8aba5e1f065eb023e52cbb height: height attribute not set width: width attribute not set description: {\displaystyle \left|\psi \left(t\right)\right\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ed6fd75eb3cc7fd3366b672a14123ea57545e092 height: height attribute not set width: width attribute not set description: {\displaystyle |\psi (t)\rangle =\sum _{n}a_{n}(t)|n\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/32a6fe28958032b2ed3fe34513d747eff4c697dd height: height attribute not set width: width attribute not set description: {\displaystyle a_{n}(t)=\langle n|\psi (t)\rangle .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a70b15e372decf709e90bc086b532b9bfb95add6 height: height attribute not set width: width attribute not set description: {\displaystyle a_{n}(t)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6ea125a2fb72183b3cba8979e90d363b1300fd5f height: height attribute not set width: width attribute not set description: {\displaystyle \langle h(t)\rangle \mathrel {\stackrel {\mathrm {def} }{=}} \langle \psi (t)|h|\psi (t)\rangle =\sum _{nn'}a_{n'}^{*}a_{n}\langle n'|h|n\rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9056510733515007a63fe617fa9cba8a0bd27aa4 height: height attribute not set width: width attribute not set description: {\displaystyle a_{n}^{*}(t)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4cd9ae85b159f6a10ecf062f29316120aac6a14c height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\partial \langle h\rangle }{\partial a_{n'}^{*}}}=\sum _{n}a_{n}\langle n'|h|n\rangle =\langle n'|h|\psi \rangle } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f68b51d6e24175cc7e793bbab504e1f7fa215e30 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\partial \langle h\rangle }{\partial a_{n'}^{*}}}=i\hbar {\frac {\partial a_{n'}}{\partial t}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/283f7a98afabfafa44fa4129f7c778b3c36a2308 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\partial \langle h\rangle }{\partial a_{n}}}=-i\hbar {\frac {\partial a_{n}^{*}}{\partial t}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3e3144ebd68015a67d92ab797a63d232c65ead26 height: height attribute not set width: width attribute not set description: {\displaystyle \pi _{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1199754809517f3d2a072422791ae967dcfc429f height: height attribute not set width: width attribute not set description: {\displaystyle \pi _{n}(t)=i\hbar a_{n}^{*}(t)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/fcc0c5359abc0c8fbc36f7e40d5c9ef6d457235c height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {\partial \langle h\rangle }{\partial \pi _{n}}}={\frac {\partial a_{n}}{\partial t}},\quad {\frac {\partial \langle h\rangle }{\partial a_{n}}}=-{\frac {\partial \pi _{n}}{\partial t}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/790f9209748c2dca7ed7b81932c37c02af1dbc31 height: height attribute not set width: width attribute not set description: {\displaystyle a_{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/20097765034f46c439c5cc029e8971db1662e5bf height: height attribute not set width: width attribute not set description: {\displaystyle \langle h\rangle } |
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https://login.wikimedia.org/wiki/special:centralautologin/start?type=1x1 height: 1 width: 1 description: no alt description found |
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http://en.wikipedia.org/static/images/footer/wikimedia-button.svg height: 29 width: 84 description: wikimedia foundation |
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http://en.wikipedia.org/w/resources/assets/poweredby_mediawiki.svg height: 31 width: 88 description: powered by mediawiki |
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