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Display information for equation id:math.1777.37 on revision:1777

* Page found: Lippmann- Schwinger- Gleichung (eq math.1777.37)

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Hash: 3f6be2bdf44123b5d693fcff4a8b614b

TeX (original user input):

{{G}_{+}}(\bar{R})=\frac{1}{{{\left( 2\pi  \right)}^{3}}}\int_{{}}^{{}}{{{d}^{3}}q}\frac{1}{{{{\bar{k}}}^{2}}-{{{\bar{q}}}^{2}}+i\eta }{{e}^{i\bar{q}\bar{R}}}

TeX (checked):

{{G}_{+}}({\bar {R}})={\frac {1}{{\left(2\pi \right)}^{3}}}\int _{}^{}{{{d}^{3}}q}{\frac {1}{{{\bar {k}}^{2}}-{{\bar {q}}^{2}}+i\eta }}{{e}^{i{\bar {q}}{\bar {R}}}}

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MathML (1.896 KB / 417 B) :

G+(R¯)=1(2π)3d3q1k¯2q¯2+iηeiq¯R¯
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msub></mstyle><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>R</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>2</mn><mi>&#x03C0;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>q</mi></mrow><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"><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>i</mi><mi>&#x03B7;</mi></mrow></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>R</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow></msup></mrow></math>

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Calculated based on the variables occurring on the entire Lippmann- Schwinger- Gleichung page

Identifiers

  • G+
  • R¯
  • π
  • q
  • k¯
  • q¯
  • i
  • η
  • e
  • i
  • q¯
  • R¯

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