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Display information for equation id:math.2664.40 on revision:2664

* Page found: Klein Gordon im (Vektor)Potential, Eichinvarianz (eq math.2664.40)

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Hash: a9e7d06cc684e8440875a1b7997dc286

TeX (original user input):

\mathfrak{i} {{\partial }_{t}}\Psi =\frac{1}{2m}{{\left( \frac{{\underline{\nabla }}}{\mathfrak{i} } \right)}^{2}}\Psi \to \text{nun }\mathfrak{i} {{\partial }_{t}}\Psi +\alpha \phi \Psi =\frac{1}{2m}{{\left( \frac{{\underline{\nabla }}}{\mathfrak{i} }+\alpha \underline{A} \right)}^{2}}\Psi

TeX (checked):

{\mathfrak {i}}{{\partial }_{t}}\Psi ={\frac {1}{2m}}{{\left({\frac {\underline {\nabla }}{\mathfrak {i}}}\right)}^{2}}\Psi \to {\text{nun }}{\mathfrak {i}}{{\partial }_{t}}\Psi +\alpha \phi \Psi ={\frac {1}{2m}}{{\left({\frac {\underline {\nabla }}{\mathfrak {i}}}+\alpha {\underline {A}}\right)}^{2}}\Psi

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MathML (2.323 KB / 401 B) :

itΨ=12m(_i)2Ψnun itΨ+αϕΨ=12m(_i+αA_)2Ψ
<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="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi mathvariant="normal">&#x03A8;</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munder><mi mathvariant="normal">&#x2207;</mi><mo>_</mo></munder></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi mathvariant="normal">&#x03A8;</mi><mo accent="false">&#x2192;</mo><mrow data-mjx-texclass="ORD"><mtext>nun&#xA0;</mtext></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mi mathvariant="normal">&#x03A8;</mi><mo>+</mo><mi>&#x03B1;</mi><mi>&#x03D5;</mi><mi mathvariant="normal">&#x03A8;</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><munder><mi mathvariant="normal">&#x2207;</mi><mo>_</mo></munder></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow></mrow></mfrac></mrow><mo>+</mo><mi>&#x03B1;</mi><mrow data-mjx-texclass="ORD"><munder><mi>A</mi><mo>_</mo></munder></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi mathvariant="normal">&#x03A8;</mi></mstyle></mrow></math>

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Identifiers

  • i
  • t
  • Ψ
  • m
  • i
  • Ψ
  • i
  • t
  • Ψ
  • α
  • ϕ
  • Ψ
  • m
  • i
  • α
  • A_
  • Ψ

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