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Display information for equation id:math.1817.42 on revision:1817

* Page found: Der nichtrelativistische Grenzfall (eq math.1817.42)

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Hash: 3e0031d97cd65c16f7dd3dcb9997ca2c

TeX (original user input):

\begin{align}

& \left[ \bar{J},H \right]=\left[ \bar{L},H \right]+\frac{\hbar }{2}\left[ \tilde{\bar{\sigma }},H \right]=0 \\

& \left[ \bar{L},H \right]=i\hbar c\bar{\alpha }\times \bar{p} \\

& \left[ \tilde{\bar{\sigma }},H \right]=-2c\bar{\alpha }\times \bar{p} \\

\end{align}

TeX (checked):

{\begin{aligned}&\left[{\bar {J}},H\right]=\left[{\bar {L}},H\right]+{\frac {\hbar }{2}}\left[{\tilde {\bar {\sigma }}},H\right]=0\\&\left[{\bar {L}},H\right]=i\hbar c{\bar {\alpha }}\times {\bar {p}}\\&\left[{\tilde {\bar {\sigma }}},H\right]=-2c{\bar {\alpha }}\times {\bar {p}}\\\end{aligned}}

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MathML (2.691 KB / 436 B) :

[J¯,H]=[L¯,H]+2[σ¯~,H]=0[L¯,H]=icα¯×p¯[σ¯~,H]=2cα¯×p¯
<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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>J</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>H</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>H</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>~</mo></mover></mrow></mrow><mo>,</mo><mi>H</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>H</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><mi>i</mi><mi data-mjx-alternate="1">&#x210F;</mi><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03B1;</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>~</mo></mover></mrow></mrow><mo>,</mo><mi>H</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>=</mo><mo>&#x2212;</mo><mn>2</mn><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03B1;</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Der nichtrelativistische Grenzfall page

Identifiers

  • J¯
  • H
  • L¯
  • H
  • σ¯~
  • H
  • L¯
  • H
  • i
  • c
  • α¯
  • p¯
  • σ¯~
  • H
  • c
  • α¯
  • p¯

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