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Display information for equation id:math.349.5 on revision:349

* Page found: Liouville-von-Neumann-Gleichung (eq math.349.5)

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Hash: 4b3c16f9532daa71144214e2be27557e

TeX (original user input): 

\begin{align}
  & \left\langle  \mathfrak{i}{{\partial }_{t}}\Psi \left( t \right) \right|=\left\langle  \hat{H}\Psi \left( t \right) \right| \\
 & \text{-}\mathfrak{i}{{\partial }_{t}}\left\langle  \Psi \left( t \right) \right|=\left\langle  \Psi \left( t \right) \right|\hat{H},\,\left( \hat{H}={{{\hat{H}}}^{+}} \right)\Rightarrow {{\partial }_{t}}\left\langle  \Psi \left( t \right) \right|=\mathfrak{i}\left\langle  \Psi \left( t \right) \right|\hat{H} \\
\end{align}

TeX (checked): 

{\begin{aligned}&\left\langle {\mathfrak {i}}{{\partial }_{t}}\Psi \left(t\right)\right|=\left\langle {\hat {H}}\Psi \left(t\right)\right|\\&{\text{-}}{\mathfrak {i}}{{\partial }_{t}}\left\langle \Psi \left(t\right)\right|=\left\langle \Psi \left(t\right)\right|{\hat {H}},\,\left({\hat {H}}={{\hat {H}}^{+}}\right)\Rightarrow {{\partial }_{t}}\left\langle \Psi \left(t\right)\right|={\mathfrak {i}}\left\langle \Psi \left(t\right)\right|{\hat {H}}\\\end{aligned}}

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MathML (3.474 KB / 476 B) :

⟨i∂tΨ(t)|=⟨H^Ψ(t)|-i∂t⟨Ψ(t)|=⟨Ψ(t)|H^,(H^=H^+)⇒∂t⟨Ψ(t)|=i⟨Ψ(t)|H^
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  • t
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  • H^
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