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Display information for equation id:math.1594.29 on revision:1594

* Page found: Kontinuitätsgleichung (Quantenmechnik) (eq math.1594.29)

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Hash: c09ba64aa383c8fd1761edff49fa4812

TeX (original user input): 

\begin{align}
& \left( \hat{\bar{p}}\bar{A}+\bar{A}\hat{\bar{p}} \right)\Psi =\frac{\hbar }{i}\left[ \nabla \left( \bar{A}\Psi  \right)+\bar{A}\left( \nabla \Psi  \right) \right]=\frac{\hbar }{i}\left[ \left( \nabla \cdot \bar{A} \right)\Psi +2\bar{A}\left( \nabla \Psi  \right) \right] \\
& \nabla \cdot \bar{A}=0 \\
\end{align}

TeX (checked): 

{\begin{aligned}&\left({\hat {\bar {p}}}{\bar {A}}+{\bar {A}}{\hat {\bar {p}}}\right)\Psi ={\frac {\hbar }{i}}\left[\nabla \left({\bar {A}}\Psi \right)+{\bar {A}}\left(\nabla \Psi \right)\right]={\frac {\hbar }{i}}\left[\left(\nabla \cdot {\bar {A}}\right)\Psi +2{\bar {A}}\left(\nabla \Psi \right)\right]\\&\nabla \cdot {\bar {A}}=0\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (23.754 KB / 2.686 KB) :

( p ¯ ^ ⁢ A ¯ + A ¯ ⁢ p ¯ ^ ) ⁢ Ψ = ℏ i ⁢ [ ∇ ⁡ ( A ¯ ⁢ Ψ ) + A ¯ ⁢ ( ∇ ⁡ Ψ ) ] = ℏ i ⁢ [ ( ∇ ⋅ A ¯ ) ⁢ Ψ + 2 ⁢ A ¯ ⁢ ( ∇ ⁡ Ψ ) ] ∇ ⋅ A ¯ = 0 missing-subexpression ^ ¯ 𝑝 ¯ 𝐴 ¯ 𝐴 ^ ¯ 𝑝 Ψ Planck-constant-over-2-pi 𝑖 delimited-[] ∇ ¯ 𝐴 Ψ ¯ 𝐴 ∇ Ψ Planck-constant-over-2-pi 𝑖 delimited-[] ⋅ ∇ ¯ 𝐴 Ψ 2 ¯ 𝐴 ∇ Ψ missing-subexpression ⋅ ∇ ¯ 𝐴 0 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\left(\hat{\bar{p}}% \bar{A}+\bar{A}\hat{\bar{p}}\right)\Psi=\frac{\hbar}{i}\left[\nabla\left(\bar{% A}\Psi\right)+\bar{A}\left(\nabla\Psi\right)\right]=\frac{\hbar}{i}\left[\left% (\nabla\cdot\bar{A}\right)\Psi+2\bar{A}\left(\nabla\Psi\right)\right]\\ &\displaystyle\nabla\cdot\bar{A}=0\\ \end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (3.217 KB / 463 B) :

(p¯^A¯+A¯p¯^)Ψ=ℏi[∇(A¯Ψ)+A¯(∇Ψ)]=ℏi[(∇⋅A¯)Ψ+2A¯(∇Ψ)]∇⋅A¯=0

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