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Display information for equation id:math.2606.19 on revision:2606
* Page found: Prüfungsfragen:Quantenmechanik (eq math.2606.19)
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Hash: fdad80d2ef8dd5aabd78736f6c9f1c25
TeX (original user input):
\mathrm i\, \hbar\, \partial_t\, \varphi = \underbrace{ \left( \frac{(\vec p- q \vec A)^2}{2\, m} + q \,\phi \right)}_{\text{Hamiltonoperator ohne Spin}}\,\varphi - g\,\underbrace{\frac{q\,\hbar }{2\,mc}\,\frac{\vec{ \sigma}}{2} \cdot \vec B}_{\text{Spin-Magnetfeld}}\,\varphi\,.
TeX (checked):
\mathrm {i} \,\hbar \,\partial _{t}\,\varphi =\underbrace {\left({\frac {({\vec {p}}-q{\vec {A}})^{2}}{2\,m}}+q\,\phi \right)} _{\text{Hamiltonoperator ohne Spin}}\,\varphi -g\,\underbrace {{\frac {q\,\hbar }{2\,mc}}\,{\frac {\vec {\sigma }}{2}}\cdot {\vec {B}}} _{\text{Spin-Magnetfeld}}\,\varphi \,.
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MathML (2.609 KB / 542 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"><mi mathvariant="normal">i</mi></mrow><mspace width="0.167em"></mspace><mi data-mjx-alternate="1">ℏ</mi><mspace width="0.167em"></mspace><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mspace width="0.167em"></mspace><mi>φ</mi><mo>=</mo><munder><mrow data-mjx-texclass="OP"><munder><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"><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>→</mo></mover></mrow></mrow><mo>−</mo><mi>q</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>→</mo></mover></mrow></mrow><msup><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mspace width="0.167em"></mspace><mi>m</mi></mrow></mrow></mfrac></mrow><mo>+</mo><mi>q</mi><mspace width="0.167em"></mspace><mi>ϕ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>Hamiltonoperator ohne Spin</mtext></mrow></mrow></munder><mspace width="0.167em"></mspace><mi>φ</mi><mo>−</mo><mi>g</mi><mspace width="0.167em"></mspace><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>q</mi><mspace width="0.167em"></mspace><mi data-mjx-alternate="1">ℏ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mspace width="0.167em"></mspace><mi>m</mi><mi>c</mi></mrow></mrow></mfrac></mrow><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>σ</mi><mo>→</mo></mover></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>→</mo></mover></mrow></mrow></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>Spin-Magnetfeld</mtext></mrow></mrow></munder><mspace width="0.167em"></mspace><mi>φ</mi><mspace width="0.167em"></mspace><mo>.</mo></mstyle></mrow></math>
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