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Display information for equation id:math.1819.5 on revision:1819
* Page found: Der nichtrelativistische Grenzfall (eq math.1819.5)
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Hash: b72f90c2a6c8479a8c93339429a696e7
TeX (original user input):
\begin{align}
& {{\Psi }_{1}}={{e}^{-\frac{i}{\hbar }{{m}_{0}}{{c}^{2}}t}}{{e}_{1}}\quad Spin:\uparrow \quad Ruheenergie>0 \\
& {{\Psi }_{2}}={{e}^{-\frac{i}{\hbar }{{m}_{0}}{{c}^{2}}t}}{{e}_{2}}\quad Spin:\downarrow \quad Ruheenergie>0 \\
& {{\Psi }_{3}}={{e}^{\frac{i}{\hbar }{{m}_{0}}{{c}^{2}}t}}{{e}_{3}}\quad Spin:\uparrow \quad Ruheenergie<0 \\
& {{\Psi }_{4}}={{e}^{\frac{i}{\hbar }{{m}_{0}}{{c}^{2}}t}}{{e}_{4}}\quad Spin:\downarrow \quad Ruheenergie<0 \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\Psi }_{1}}={{e}^{-{\frac {i}{\hbar }}{{m}_{0}}{{c}^{2}}t}}{{e}_{1}}\quad Spin:\uparrow \quad Ruheenergie>0\\&{{\Psi }_{2}}={{e}^{-{\frac {i}{\hbar }}{{m}_{0}}{{c}^{2}}t}}{{e}_{2}}\quad Spin:\downarrow \quad Ruheenergie>0\\&{{\Psi }_{3}}={{e}^{{\frac {i}{\hbar }}{{m}_{0}}{{c}^{2}}t}}{{e}_{3}}\quad Spin:\uparrow \quad Ruheenergie<0\\&{{\Psi }_{4}}={{e}^{{\frac {i}{\hbar }}{{m}_{0}}{{c}^{2}}t}}{{e}_{4}}\quad Spin:\downarrow \quad Ruheenergie<0\\\end{aligned}}
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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"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></mrow><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>t</mi></mrow></mrow></msup><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mspace width="1em"></mspace><mi>S</mi><mi>p</mi><mi>i</mi><mi>n</mi><mi>:</mi><mo>↑</mo><mspace width="1em"></mspace><mi>R</mi><mi>u</mi><mi>h</mi><mi>e</mi><mi>e</mi><mi>n</mi><mi>e</mi><mi>r</mi><mi>g</mi><mi>i</mi><mi>e</mi><mo>></mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></mrow><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>t</mi></mrow></mrow></msup><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mspace width="1em"></mspace><mi>S</mi><mi>p</mi><mi>i</mi><mi>n</mi><mi>:</mi><mo>↓</mo><mspace width="1em"></mspace><mi>R</mi><mi>u</mi><mi>h</mi><mi>e</mi><mi>e</mi><mi>n</mi><mi>e</mi><mi>r</mi><mi>g</mi><mi>i</mi><mi>e</mi><mo>></mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></mrow><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>t</mi></mrow></mrow></msup><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub><mspace width="1em"></mspace><mi>S</mi><mi>p</mi><mi>i</mi><mi>n</mi><mi>:</mi><mo>↑</mo><mspace width="1em"></mspace><mi>R</mi><mi>u</mi><mi>h</mi><mi>e</mi><mi>e</mi><mi>n</mi><mi>e</mi><mi>r</mi><mi>g</mi><mi>i</mi><mi>e</mi><mo><</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></mrow><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>c</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>t</mi></mrow></mrow></msup><msub><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msub><mspace width="1em"></mspace><mi>S</mi><mi>p</mi><mi>i</mi><mi>n</mi><mi>:</mi><mo>↓</mo><mspace width="1em"></mspace><mi>R</mi><mi>u</mi><mi>h</mi><mi>e</mi><mi>e</mi><mi>n</mi><mi>e</mi><mi>r</mi><mi>g</mi><mi>i</mi><mi>e</mi><mo><</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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