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Display information for equation id:math.1571.12 on revision:1571
* Page found: Kräftefreie Schrödingergleichung (eq math.1571.12)
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Hash: 9caac527ff954aa0089f52fc7ea9bdb1
TeX (original user input):
\frac{\partial }{\partial t}\Psi =-i\omega \Psi =-i\hbar \frac{{{k}^{2}}}{2m}\Psi =\frac{i}{\hbar }\frac{{{\hbar }^{2}}}{2m}\Delta \Psi
TeX (checked):
{\frac {\partial }{\partial t}}\Psi =-i\omega \Psi =-i\hbar {\frac {{k}^{2}}{2m}}\Psi ={\frac {i}{\hbar }}{\frac {{\hbar }^{2}}{2m}}\Delta \Psi
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MathML (1.388 KB / 303 B) :
<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"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi mathvariant="normal">Ψ</mi><mo>=</mo><mo>−</mo><mi>i</mi><mi>ω</mi><mi mathvariant="normal">Ψ</mi><mo>=</mo><mo>−</mo><mi>i</mi><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>k</mi><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></mrow></mrow></mfrac></mrow><mi mathvariant="normal">Ψ</mi><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><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">ℏ</mi><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></mrow></mrow></mfrac></mrow><mi mathvariant="normal">Δ</mi><mi mathvariant="normal">Ψ</mi></mstyle></mrow></math>
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