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Display information for equation id:math.1587.20 on revision:1587

* Page found: Schrödingergleichung mit äußeren Potenzialen (eq math.1587.20)

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Hash: 99bd6e161bfcd37077eefd37eba0831b

TeX (original user input):

H(\bar{p},\bar{q})=T+V=\sum\limits_{i}{{}}\left( \frac{1}{2m}{{p}_{i}}^{2}+V({{{\bar{q}}}_{i}}) \right)+\frac{1}{2}\sum\limits_{i\ne j}^{{}}{W({{{\bar{q}}}_{i}}-{{{\bar{q}}}_{j}})}

TeX (checked):

H({\bar {p}},{\bar {q}})=T+V=\sum \limits _{i}{}\left({\frac {1}{2m}}{{p}_{i}}^{2}+V({{\bar {q}}_{i}})\right)+{\frac {1}{2}}\sum \limits _{i\neq j}^{}{W({{\bar {q}}_{i}}-{{\bar {q}}_{j}})}

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MathML (2.083 KB / 423 B) :

H(p¯,q¯)=T+V=i(12mpi2+V(q¯i))+12ijW(q¯iq¯j)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>H</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>=</mo><mi>T</mi><mo>+</mo><mi>V</mi><mo>=</mo><munder><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</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><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>V</mi><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo>&#x2260;</mo><mi>j</mi></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>W</mi><mo stretchy="false">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>&#x2212;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">)</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Schrödingergleichung mit äußeren Potenzialen page

Identifiers

  • H
  • p¯
  • q¯
  • T
  • V
  • i
  • m
  • pi
  • V
  • q¯i
  • i
  • j
  • W
  • q¯i
  • q¯j

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