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Display information for equation id:math.1777.48 on revision:1777
* Page found: Lippmann- Schwinger- Gleichung (eq math.1777.48)
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Hash: e33b5c1ecef738987409cefffa9f8b28
TeX (original user input):
\int_{-\infty }^{\infty }{dq}q\frac{{{e}^{iqR}}}{{{{\bar{k}}}^{2}}-{{{\bar{q}}}^{2}}+i\eta }=2\pi i{{\left. \left( RES\left( \frac{q{{e}^{iqR}}}{{{{\bar{k}}}^{2}}-{{{\bar{q}}}^{2}}+i\eta } \right) \right) \right|}_{q={{q}_{1}}}}
TeX (checked):
\int _{-\infty }^{\infty }{dq}q{\frac {{e}^{iqR}}{{{\bar {k}}^{2}}-{{\bar {q}}^{2}}+i\eta }}=2\pi i{{\left.\left(RES\left({\frac {q{{e}^{iqR}}}{{{\bar {k}}^{2}}-{{\bar {q}}^{2}}+i\eta }}\right)\right)\right|}_{q={{q}_{1}}}}
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MathML (2.489 KB / 439 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</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>−</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>η</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mn>2</mn><mi>π</mi><mi>i</mi><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>R</mi><mi>E</mi><mi>S</mi><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"><mi>q</mi><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><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>−</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>η</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>q</mi><mo>=</mo><msub><mi>q</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></msub></mstyle></mrow></math>
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