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Display information for equation id:math.2685.8 on revision:2685

* Page found: Weitere Eigenschaften der Dirac-Gleichung (eq math.2685.8)

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Hash: cfa4ba1dab0110f769644ac6106ef59a

TeX (original user input):

{{\gamma }^{0}}:=\beta =\left( \begin{matrix}

{\underline{\underline{1}}} & {\underline{\underline{0}}}  \\

{\underline{\underline{0}}} & -\underline{\underline{1}}  \\

\end{matrix} \right)\quad ;\quad {{\gamma }^{k}}=\beta {{\alpha }_{k}}=\left( \begin{matrix}

0 & {{\sigma }_{k}}  \\

-{{\sigma }_{k}} & 0  \\

\end{matrix} \right)

TeX (checked):

{{\gamma }^{0}}:=\beta =\left({\begin{matrix}{\underline {\underline {1}}}&{\underline {\underline {0}}}\\{\underline {\underline {0}}}&-{\underline {\underline {1}}}\\\end{matrix}}\right)\quad ;\quad {{\gamma }^{k}}=\beta {{\alpha }_{k}}=\left({\begin{matrix}0&{{\sigma }_{k}}\\-{{\sigma }_{k}}&0\\\end{matrix}}\right)

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MathML (1.848 KB / 396 B) :

γ0:=β=(1__0__0__1__);γk=βαk=(0σkσk0)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup></mstyle><mi>:</mi><mo>=</mo><mi>&#x03B2;</mi><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mn>1</mn><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow></mtd><mtd><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mn>0</mn><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mn>0</mn><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow></mtd><mtd><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mn>1</mn><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="1em"></mspace><mo>;</mo><mspace width="1em"></mspace><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msup><mo>=</mo><mi>&#x03B2;</mi><msub><mi>&#x03B1;</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mn>0</mn></mtd><mtd><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr><mtr><mtd><mo>&#x2212;</mo><msub><mi>&#x03C3;</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd><mtd><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></math>

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Calculated based on the variables occurring on the entire Weitere Eigenschaften der Dirac-Gleichung page

Identifiers

  • γ
  • β
  • 1__
  • 0__
  • 0__
  • 1__
  • γ
  • k
  • β
  • αk
  • σk
  • σk

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