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Display information for equation id:math.1777.57 on revision:1777

* Page found: Lippmann- Schwinger- Gleichung (eq math.1777.57)

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Hash: 9ad8d972bd3214932a43224752357ea7

TeX (original user input):

\frac{2m}{{{\hbar }^{2}}}\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }{{G}_{+}}\left( \bar{r}-\bar{r}\acute{\ } \right)}\left\langle  \bar{r}\acute{\ } \right|{{\hat{H}}^{1}}\left| {{\Psi }^{(+)}} \right\rangle =+\frac{2m}{{{\hbar }^{2}}}\int_{{}}^{{}}{{{d}^{3}}r\acute{\ }\frac{-{{e}^{ik\left| \left( \bar{r}-\bar{r}\acute{\ } \right) \right|}}}{4\pi \left| \left( \bar{r}-\bar{r}\acute{\ } \right) \right|}}\left\langle  \bar{r}\acute{\ } \right|{{\hat{H}}^{1}}\left| {{\Psi }^{(+)}} \right\rangle

TeX (checked):

{\frac {2m}{{\hbar }^{2}}}\int _{}^{}{{{d}^{3}}r{\acute {\ }}{{G}_{+}}\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)}\left\langle {\bar {r}}{\acute {\ }}\right|{{\hat {H}}^{1}}\left|{{\Psi }^{(+)}}\right\rangle =+{\frac {2m}{{\hbar }^{2}}}\int _{}^{}{{{d}^{3}}r{\acute {\ }}{\frac {-{{e}^{ik\left|\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)\right|}}}{4\pi \left|\left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)\right|}}}\left\langle {\bar {r}}{\acute {\ }}\right|{{\hat {H}}^{1}}\left|{{\Psi }^{(+)}}\right\rangle

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2m2d3r´G+(r¯r¯´)r¯´|H^1|Ψ(+)=+2m2d3r´eik|(r¯r¯´)|4π|(r¯r¯´)|r¯´|H^1|Ψ(+)
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data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mrow 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Identifiers

  • m
  • r
  • ´
  • G+
  • r¯
  • r¯
  • ´
  • r¯
  • ´
  • H^
  • Ψ
  • m
  • r
  • ´
  • e
  • i
  • k
  • r¯
  • r¯
  • ´
  • π
  • r¯
  • r¯
  • ´
  • r¯
  • ´
  • H^
  • Ψ

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