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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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Weitere Eigenschaften der Dirac-Gleichung Eq: math.2685.20

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

MathML (13.407 KB / 1.727 KB) :

{\displaystyle{\displaystyle x{{{}^{\prime}}_{\mu}}x{{{}^{\prime}}^{\mu}}={{g}% _{\mu}}_{\nu}x{{{}^{\prime}}^{\nu}}x{{{}^{\prime}}^{\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}}}}

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    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle x{{{}^{\prime}}_{\mu}}x{{{}^{\prime}}^{\mu}}={{g}%
_{\mu}}_{\nu}x{{{}^{\prime}}^{\nu}}x{{{}^{\prime}}^{\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}}}}</annotation>
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</math>

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MathML (1.7 KB / 266 B) :

x'_{μ} x'^{μ} = {g_{μ}}_{ν} x'^{ν} x'^{μ} = {g_{μ}}_{ν} {L^{ν}}_{α} x^{α} {L^{μ}}_{β} x^{β} = {g_{α}}_{β} x^{α} x^{β} = x_{β} x^{β}

<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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Identifiers

$x$

$μ$

$x$

$μ$

$g_{μ} ν$

$x$

$ν$

$x$

$μ$

$g_{μ} ν$

$L$

$ν$

$α$

$x$

$α$

$L$

$μ$

$β$

$x$

$β$

$g_{α} β$

$x$

$α$

$x$

$β$

$x_{β}$

$x$

$β$

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