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Display information for equation id:math.2691.0 on revision:2691

* Page found: Lösungen der Dirac-Gleichung (freies Teilchen) (eq math.2691.0)

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Hash: d6b71afa5b6602efb3a6adbb72f4b4fb

TeX (original user input):

\left( \mathfrak{i} {{\gamma }^{\mu }}{{\partial }_{\mu }}-m \right)\Psi =0\Leftrightarrow \left[ \mathfrak{i} \left( {{\gamma }^{0}}{{\partial }_{t}}+{{\gamma }^{1}}{{\partial }_{{{x}^{1}}}}+{{\gamma }^{2}}{{\partial }_{{{x}^{2}}}}+{{\gamma }^{3}}{{\partial }_{{{x}^{3}}}} \right)-m \right]\Psi =0

TeX (checked):

\left({\mathfrak {i}}{{\gamma }^{\mu }}{{\partial }_{\mu }}-m\right)\Psi =0\Leftrightarrow \left[{\mathfrak {i}}\left({{\gamma }^{0}}{{\partial }_{t}}+{{\gamma }^{1}}{{\partial }_{{x}^{1}}}+{{\gamma }^{2}}{{\partial }_{{x}^{2}}}+{{\gamma }^{3}}{{\partial }_{{x}^{3}}}\right)-m\right]\Psi =0

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MathML (1.764 KB / 359 B) :

(𝔦γμμm)Ψ=0[𝔦(γ0t+γ1x1+γ2x2+γ3x3)m]Ψ=0
<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"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>𝔦</mi></mrow><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msup><msub><mi></mi><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow></msub><mo stretchy="false"></mo><mi>m</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>Ψ</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false"></mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mi>𝔦</mi></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><msub><mi></mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">+</mo><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><msub><mi></mi><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup></mrow></msub><mo stretchy="false">+</mo><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msub><mi></mi><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msub><mo stretchy="false">+</mo><msup><mi>γ</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><msub><mi></mi><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false"></mo><mi>m</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><mi>Ψ</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>

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Identifiers

  • 𝔦
  • γ
  • μ
  • μ
  • m
  • Ψ
  • 𝔦
  • γ
  • t
  • γ
  • x
  • γ
  • x
  • γ
  • x
  • m
  • Ψ

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