Difference between revisions of "Math Test"
imported>Ichuang |
imported>Ichuang |
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\end{align} | \end{align} | ||
</math> | </math> | ||
+ | |||
+ | :<math>\begin{align} | ||
+ | \left\langle \hat O\right\rangle | ||
+ | &= Tr \left(\hat O\hat\rho\right) | ||
+ | =\Sigma_n \left\langle n\right| \hat O\hat \rho \left|n\right\rangle | ||
+ | =\Sigma_{n^\prime n} \left\langle n\right| \hat O \left|n^\prime\right\rangle \left\langle n^\prime\right| \hat \rho \left|n\right\rangle \\ | ||
+ | \left\langle \hat O\right\rangle} &= \Sigma_{nn^\prime}O_{nn^\prime}\rho_{n^\prime n | ||
+ | O_{nn^\prime}= \left\langle n\right| \hat O \left|n^\prime\right\rangle | ||
+ | \end{align}</math> |
Revision as of 04:42, 5 February 2009
This is a test Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{\alpha}{\sqrt{\gamma+1}} }
units: Failed to parse (unknown function "\unit"): {\displaystyle \frac{1}{\unit{1}{\kelvin}} } Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \unit{10}{\reciprocal\metre}}
mathbold: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bm{V}}
bold Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \textbf{foo} }
italic
cal Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \cal{C} }
left right Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left[ \frac{x}{y} \right]}
align*
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{align} \frac{d}{dt} \hat{\mu}_x &= - \frac{i \gamma^2}{\hbar} B_0 i \hbar \hat{L}_y = \gamma^2 \hat{L}_y B_0 = \hat{\mu}_y \gamma B_0 \\ \frac{d}{dt} \hat{\mu}_y &= - \mu_x \gamma B_0 \\ \frac{d}{dt} \hat{\mu}_z &= 0 \end{align} }
- Failed to parse (unknown function "\begin{align}"): {\displaystyle \begin{align} \left\langle \hat O\right\rangle &= Tr \left(\hat O\hat\rho\right) =\Sigma_n \left\langle n\right| \hat O\hat \rho \left|n\right\rangle =\Sigma_{n^\prime n} \left\langle n\right| \hat O \left|n^\prime\right\rangle \left\langle n^\prime\right| \hat \rho \left|n\right\rangle \\ \left\langle \hat O\right\rangle} &= \Sigma_{nn^\prime}O_{nn^\prime}\rho_{n^\prime n O_{nn^\prime}= \left\langle n\right| \hat O \left|n^\prime\right\rangle \end{align}}