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Display information for equation id:math.2711.24 on revision:2711
* Page found: Formaler Aufbau der Quantenmechanik (eq math.2711.24)
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TeX (original user input):
{{\Psi }_{n}}\left( x \right)=\sqrt{\frac{2}{L}}\sin \left( \frac{n\pi x}{L} \right),\quad {{E}_{n}}=\frac{{{\left( \hbar n\pi \right)}^{2}}}{2m{{L}^{2}}},\quad n\in \mathbb{N}
TeX (checked):
{{\Psi }_{n}}\left(x\right)={\sqrt {\frac {2}{L}}}\sin \left({\frac {n\pi x}{L}}\right),\quad {{E}_{n}}={\frac {{\left(\hbar n\pi \right)}^{2}}{2m{{L}^{2}}}},\quad n\in \mathbb {N}
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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><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></mfrac></mrow></msqrt></mrow><mi>sin</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>π</mi><mi>x</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>L</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>,</mo><mspace width="1em"></mspace><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi data-mjx-alternate="1">ℏ</mi><mi>n</mi><mi>π</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo>,</mo><mspace width="1em"></mspace><mi>n</mi><mo>∈</mo><mrow data-mjx-texclass="ORD"><mi mathvariant="double-struck">ℕ</mi></mrow></mrow></math>
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