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Display information for equation id:math.2693.0 on revision:2693

* Page found: Lösungen der Dirac-Gleichung (freies Teilchen) (eq math.2693.0)

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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 (experimentell; keine Bilder) rendering

MathML (1.85 KB / 355 B) :

(iγμμm)Ψ=0[i(γ0t+γ1x1+γ2x2+γ3x3)m]Ψ=0
<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="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msup><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow></msub><mo>&#x2212;</mo><mi>m</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi mathvariant="normal">&#x03A8;</mi><mo>=</mo><mn>0</mn><mo>&#x21D4;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo>+</mo><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup></mrow></msub><mo>+</mo><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></msub><mo>+</mo><msup><mi>&#x03B3;</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><msub><mi>&#x2202;</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>&#x2212;</mo><mi>m</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><mi mathvariant="normal">&#x03A8;</mi><mo>=</mo><mn>0</mn></mstyle></mrow></math>

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

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