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Display information for equation id:math.1699.14 on revision:1699

* Page found: Dynamik des 2- Zustands- Systems (eq math.1699.14)

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Dynamik des 2- Zustands- Systems Eq: math.1699.14

Hash: ae84da6c30890745a347409102b81a6e

TeX (original user input):

{{\left| {{\left\langle {{{\hat{\bar{\sigma }}}}_{{}}} \right\rangle }_{t}} \right|}^{2}}={{\left\langle {{{\hat{\bar{\sigma }}}}_{1}} \right\rangle }_{t}}^{2}+{{\left\langle {{{\hat{\bar{\sigma }}}}_{2}} \right\rangle }_{t}}^{2}+{{\left\langle {{{\hat{\bar{\sigma }}}}_{3}} \right\rangle }_{t}}^{2}={{\left\langle {{{\hat{\bar{\sigma }}}}_{1}} \right\rangle }_{0}}^{2}\left[ {{\cos }^{2}}\left( 2{{\omega }_{l}}t \right)+{{\sin }^{2}}\left( 2{{\omega }_{l}}t \right) \right]+{{\left\langle {{{\hat{\bar{\sigma }}}}_{3}} \right\rangle }_{0}}^{2}={{\left\langle {{{\hat{\bar{\sigma }}}}_{1}} \right\rangle }_{0}}^{2}+{{\left\langle {{{\hat{\bar{\sigma }}}}_{3}} \right\rangle }_{0}}^{2}

TeX (checked):

{{\left|{{\left\langle {{\hat {\bar {\sigma }}}_{}}\right\rangle }_{t}}\right|}^{2}}={{\left\langle {{\hat {\bar {\sigma }}}_{1}}\right\rangle }_{t}}^{2}+{{\left\langle {{\hat {\bar {\sigma }}}_{2}}\right\rangle }_{t}}^{2}+{{\left\langle {{\hat {\bar {\sigma }}}_{3}}\right\rangle }_{t}}^{2}={{\left\langle {{\hat {\bar {\sigma }}}_{1}}\right\rangle }_{0}}^{2}\left[{{\cos }^{2}}\left(2{{\omega }_{l}}t\right)+{{\sin }^{2}}\left(2{{\omega }_{l}}t\right)\right]+{{\left\langle {{\hat {\bar {\sigma }}}_{3}}\right\rangle }_{0}}^{2}={{\left\langle {{\hat {\bar {\sigma }}}_{1}}\right\rangle }_{0}}^{2}+{{\left\langle {{\hat {\bar {\sigma }}}_{3}}\right\rangle }_{0}}^{2}

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{| {⟨ {\hat{\bar{σ}}}_{} ⟩}_{t} |}^{2} = {⟨ {\hat{\bar{σ}}}_{1} ⟩}_{t}^{2} + {⟨ {\hat{\bar{σ}}}_{2} ⟩}_{t}^{2} + {⟨ {\hat{\bar{σ}}}_{3} ⟩}_{t}^{2} = {⟨ {\hat{\bar{σ}}}_{1} ⟩}_{0}^{2} [\cos^{2} (2 ω_{l} t) + \sin^{2} (2 ω_{l} t)] + {⟨ {\hat{\bar{σ}}}_{3} ⟩}_{0}^{2} = {⟨ {\hat{\bar{σ}}}_{1} ⟩}_{0}^{2} + {⟨ {\hat{\bar{σ}}}_{3} ⟩}_{0}^{2}

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Identifiers

${\hat{\bar{σ}}}_{t}$

${\hat{\bar{σ}}}_{1} t$

${\hat{\bar{σ}}}_{2} t$

${\hat{\bar{σ}}}_{3} t$

${\hat{\bar{σ}}}_{1} 0$

$ω_{l}$

$t$

$ω_{l}$

$t$

${\hat{\bar{σ}}}_{3} 0$

${\hat{\bar{σ}}}_{1} 0$

${\hat{\bar{σ}}}_{3} 0$

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