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Display information for equation id:math.1770.42 on revision:1770

* Page found: Lippmann- Schwinger- Gleichung (eq math.1770.42)

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Hash: 67edbd3d44199d971a58df0969e1914f

TeX (original user input):

{{G}_{+}}(\bar{R})=\frac{1}{4{{\pi }^{2}}iR}\int_{-\infty }^{\infty }{dq}q\frac{{{e}^{iqR}}}{{{{\bar{k}}}^{2}}-{{{\bar{q}}}^{2}}+i\eta }

TeX (checked):

{{G}_{+}}({\bar {R}})={\frac {1}{4{{\pi }^{2}}iR}}\int _{-\infty }^{\infty }{dq}q{\frac {{e}^{iqR}}{{{\bar {k}}^{2}}-{{\bar {q}}^{2}}+i\eta }}

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MathML (1.718 KB / 406 B) :

G+(R¯)=14π2iRdqqeiqRk¯2q¯2+iη
<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"><mrow data-mjx-texclass="ORD"><mn>4</mn><msup><mi>&#x03C0;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>i</mi><mi>R</mi></mrow></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi mathvariant="normal">&#x221E;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>q</mi></mrow><mi>q</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>q</mi><mi>R</mi></mrow></mrow></msup></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></mrow></math>

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

Identifiers

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

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