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Display information for equation id:math.1699.12 on revision:1699

* Page found: Dynamik des 2- Zustands- Systems (eq math.1699.12)

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Dynamik des 2- Zustands- Systems Eq: math.1699.12

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TeX (original user input):

\begin{align}
& {{\left\langle {{{\hat{\bar{\sigma }}}}_{1}} \right\rangle }_{t}}={{\left\langle {{{\hat{\bar{\sigma }}}}_{2}} \right\rangle }_{0}}\sin \left( 2{{\omega }_{l}}t \right)+{{\left\langle {{{\hat{\bar{\sigma }}}}_{1}} \right\rangle }_{0}}\cos \left( 2{{\omega }_{l}}t \right) \\
& {{\left\langle {{{\hat{\bar{\sigma }}}}_{2}} \right\rangle }_{t}}={{\left\langle {{{\hat{\bar{\sigma }}}}_{2}} \right\rangle }_{0}}\cos \left( 2{{\omega }_{l}}t \right)-{{\left\langle {{{\hat{\bar{\sigma }}}}_{1}} \right\rangle }_{0}}\sin \left( 2{{\omega }_{l}}t \right) \\
& {{\left\langle {{{\hat{\bar{\sigma }}}}_{3}} \right\rangle }_{t}}={{\left\langle {{{\hat{\bar{\sigma }}}}_{3}} \right\rangle }_{0}} \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\left\langle {{\hat {\bar {\sigma }}}_{1}}\right\rangle }_{t}}={{\left\langle {{\hat {\bar {\sigma }}}_{2}}\right\rangle }_{0}}\sin \left(2{{\omega }_{l}}t\right)+{{\left\langle {{\hat {\bar {\sigma }}}_{1}}\right\rangle }_{0}}\cos \left(2{{\omega }_{l}}t\right)\\&{{\left\langle {{\hat {\bar {\sigma }}}_{2}}\right\rangle }_{t}}={{\left\langle {{\hat {\bar {\sigma }}}_{2}}\right\rangle }_{0}}\cos \left(2{{\omega }_{l}}t\right)-{{\left\langle {{\hat {\bar {\sigma }}}_{1}}\right\rangle }_{0}}\sin \left(2{{\omega }_{l}}t\right)\\&{{\left\langle {{\hat {\bar {\sigma }}}_{3}}\right\rangle }_{t}}={{\left\langle {{\hat {\bar {\sigma }}}_{3}}\right\rangle }_{0}}\\\end{aligned}}

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MathML (4.042 KB / 438 B) :

\begin{matrix} {⟨ {\hat{\bar{σ}}}_{1} ⟩}_{t} = {⟨ {\hat{\bar{σ}}}_{2} ⟩}_{0} \sin (2 ω_{l} t) + {⟨ {\hat{\bar{σ}}}_{1} ⟩}_{0} \cos (2 ω_{l} t) \\ {⟨ {\hat{\bar{σ}}}_{2} ⟩}_{t} = {⟨ {\hat{\bar{σ}}}_{2} ⟩}_{0} \cos (2 ω_{l} t) - {⟨ {\hat{\bar{σ}}}_{1} ⟩}_{0} \sin (2 ω_{l} t) \\ {⟨ {\hat{\bar{σ}}}_{3} ⟩}_{t} = {⟨ {\hat{\bar{σ}}}_{3} ⟩}_{0} \end{matrix}

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Identifiers

${\hat{\bar{σ}}}_{1}_{t}$

${\hat{\bar{σ}}}_{2}_{0}$

$ω_{l}$

$t$

${\hat{\bar{σ}}}_{1}_{0}$

$ω_{l}$

$t$

${\hat{\bar{σ}}}_{2}_{t}$

${\hat{\bar{σ}}}_{2}_{0}$

$ω_{l}$

$t$

${\hat{\bar{σ}}}_{1}_{0}$

$ω_{l}$

$t$

${\hat{\bar{σ}}}_{3}_{t}$

${\hat{\bar{σ}}}_{3}_{0}$

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