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Display information for equation id:math.1783.22 on revision:1783
* Page found: Streuamplitude und Streuquerschnitt (eq math.1783.22)
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Hash: eabca033cb64d96ccbf7d0054f5da589
TeX (original user input):
{{\bar{j}}_{e}}=\frac{\hbar }{2im}\left( {{\Psi }_{e}}*\nabla {{\Psi }_{e}}-{{\Psi }_{e}}\nabla {{\Psi }_{e}}* \right)=\frac{\hbar \bar{k}}{m}{{\Psi }_{e}}{{\Psi }_{e}}*=\frac{\hbar \bar{k}}{m}{{\left| \Psi \right|}^{2}}
TeX (checked):
{{\bar {j}}_{e}}={\frac {\hbar }{2im}}\left({{\Psi }_{e}}*\nabla {{\Psi }_{e}}-{{\Psi }_{e}}\nabla {{\Psi }_{e}}*\right)={\frac {\hbar {\bar {k}}}{m}}{{\Psi }_{e}}{{\Psi }_{e}}*={\frac {\hbar {\bar {k}}}{m}}{{\left|\Psi \right|}^{2}}
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<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub></mstyle><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>i</mi><mi>m</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo>*</mo><mi mathvariant="normal">∇</mi><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo>−</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mi mathvariant="normal">∇</mi><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo>*</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></mfrac></mrow><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow></msub><mo>*</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></math>
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