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Display information for equation id:math.1704.36 on revision:1704

* Page found: Zustände mit Bahn- und Spinvariablen (eq math.1704.36)

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Hash: 2ef863a19158aa2c2e03c5e4e2ebe63e

TeX (original user input):

\hat{H}={{\hat{H}}_{B}}\times 1+{{H}_{S}}=\left[\frac{1}{2{{m}_{0}}}{{\left( \bar{p}-e\bar{A} \right)}^{2}}+V(r) \right]\times 1-\frac{\left| e \right|\hbar B}{2{{m}_{0}}}{{\hat{\bar{\sigma }}}_{3}}

TeX (checked):

{\hat {H}}={{\hat {H}}_{B}}\times 1+{{H}_{S}}=\left[{\frac {1}{2{{m}_{0}}}}{{\left({\bar {p}}-e{\bar {A}}\right)}^{2}}+V(r)\right]\times 1-{\frac {\left|e\right|\hbar B}{2{{m}_{0}}}}{{\hat {\bar {\sigma }}}_{3}}

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MathML (1.893 KB / 453 B) :

Ĥ=ĤB×1+HS=[12m0(p¯eA¯)2+V(r)]×1|e|B2m0σ¯̂3
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">=</mo><msub><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub><mo stretchy="false">×</mo><mn>1</mn><mo stretchy="false">+</mo><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>p</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mi>e</mi><mover><mi>A</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mi>V</mi><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo stretchy="false">×</mo><mn>1</mn><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>e</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mi alternate="1"></mi><mi>B</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><msub><mi>m</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><msub><mover><mover><mi>σ</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msub></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Zustände mit Bahn- und Spinvariablen page

Identifiers

  • Ĥ
  • ĤB
  • HS
  • m0
  • p¯
  • e
  • A¯
  • V
  • r
  • e
  • B
  • m0
  • σ¯̂3

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