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Display information for equation id:math.345.4 on revision:345

* Page found: Liouville-von-Neumann-Gleichung (eq math.345.4)

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Hash: 05bf1d80f745651ee459f658626cb0d5

TeX (original user input): 

\begin{align}
  & \left| \mathfrak{i}{{\partial }_{t}}\Psi \left( t \right) \right\rangle =\left| \hat{H}\Psi \left( t \right) \right\rangle  \\ 
 & \mathfrak{i}{{\partial }_{t}}\left| \Psi \left( t \right) \right\rangle =\hat{H}\left| \Psi \left( t \right) \right\rangle \Rightarrow {{\partial }_{t}}\left| \Psi \left( t \right) \right\rangle =-\mathfrak{i}\hat{H}\left| \Psi \left( t \right) \right\rangle  \\ 
\end{align}

TeX (checked): 

{\begin{aligned}&\left|{\mathfrak {i}}{{\partial }_{t}}\Psi \left(t\right)\right\rangle =\left|{\hat {H}}\Psi \left(t\right)\right\rangle \\&{\mathfrak {i}}{{\partial }_{t}}\left|\Psi \left(t\right)\right\rangle ={\hat {H}}\left|\Psi \left(t\right)\right\rangle \Rightarrow {{\partial }_{t}}\left|\Psi \left(t\right)\right\rangle =-{\mathfrak {i}}{\hat {H}}\left|\Psi \left(t\right)\right\rangle \\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (20.55 KB / 2.404 KB) :

| 𝔦 ⁢ ∂ t ⁡ Ψ ⁢ ( t ) ⟩ = | H ^ ⁢ Ψ ⁢ ( t ) ⟩ 𝔦 ⁢ ∂ t ⁢ | Ψ ⁢ ( t ) ⟩ = H ^ ⁢ | Ψ ⁢ ( t ) ⟩ ⇒ ∂ t ⁢ | Ψ ⁢ ( t ) ⟩ = - 𝔦 ⁢ H ^ ⁢ | Ψ ⁢ ( t ) ⟩ missing-subexpression ket 𝔦 subscript 𝑡 Ψ 𝑡 ket ^ 𝐻 Ψ 𝑡 missing-subexpression 𝔦 subscript 𝑡 ket Ψ 𝑡 ^ 𝐻 ket Ψ 𝑡 ⇒ subscript 𝑡 ket Ψ 𝑡 𝔦 ^ 𝐻 ket Ψ 𝑡 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\left|\mathfrak{i}{{% \partial}_{t}}\Psi\left(t\right)\right\rangle=\left|\hat{H}\Psi\left(t\right)% \right\rangle\\ &\displaystyle\mathfrak{i}{{\partial}_{t}}\left|\Psi\left(t\right)\right% \rangle=\hat{H}\left|\Psi\left(t\right)\right\rangle\Rightarrow{{\partial}_{t}% }\left|\Psi\left(t\right)\right\rangle=-\mathfrak{i}\hat{H}\left|\Psi\left(t% \right)\right\rangle\\ \end{aligned}}}

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MathML (3.008 KB / 420 B) :

|i∂tΨ(t)⟩=|H^Ψ(t)⟩i∂t|Ψ(t)⟩=H^|Ψ(t)⟩⇒∂t|Ψ(t)⟩=−iH^|Ψ(t)⟩

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