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Display information for equation id:math.2683.20 on revision:2683

* Page found: Weitere Eigenschaften der Dirac-Gleichung (eq math.2683.20)

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Occurrences on the following pages:

Hash: 2687a55b1c541fa15ab945472f977e3e

TeX (original user input):

x{{'}_{\mu }}x{{'}^{\mu }}={{g}_{\mu }}_{\nu }x{{'}^{\nu }}x{{'}^{\mu }}={{g}_{\mu }}_{\nu }{{L}^{\nu }}_{\alpha }{{x}^{\alpha }}{{L}^{\mu }}_{\beta }{{x}^{\beta }}={{g}_{\alpha }}_{\beta }{{x}^{\alpha }}{{x}^{\beta }}={{x}_{\beta }}{{x}^{\beta }}

TeX (checked):

x{{'}_{\mu }}x{{'}^{\mu }}={{g}_{\mu }}_{\nu }x{{'}^{\nu }}x{{'}^{\mu }}={{g}_{\mu }}_{\nu }{{L}^{\nu }}_{\alpha }{{x}^{\alpha }}{{L}^{\mu }}_{\beta }{{x}^{\beta }}={{g}_{\alpha }}_{\beta }{{x}^{\alpha }}{{x}^{\beta }}={{x}_{\beta }}{{x}^{\beta }}

LaTeXML (experimental; uses MathML) rendering

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MathML (experimental; no images) rendering

MathML (1.7 KB / 266 B) :

x'μx'μ=gμνx'νx'μ=gμνLναxαLμβxβ=gαβxαxβ=xβxβ
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>x</mi><msub><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><mo>=</mo><msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msup><mi>x</mi><msup><mi>'</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><mo>=</mo><msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msub><msub><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BD;</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><msub><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msup><mo>=</mo><msub><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msup><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msup><mo>=</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msub><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>&#x03B2;</mi></mrow></msup></mstyle></mrow></math>

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

Identifiers

  • x
  • μ
  • x
  • μ
  • gμν
  • x
  • ν
  • x
  • μ
  • gμν
  • L
  • ν
  • α
  • x
  • α
  • L
  • μ
  • β
  • x
  • β
  • gαβ
  • x
  • α
  • x
  • β
  • xβ
  • x
  • β

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