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Display information for equation id:math.1720.90 on revision:1720

* Page found: Identische Teilchen: Spin und Statistik (eq math.1720.90)

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Occurrences on the following pages:

Hash: 1d1e62743733c9a69eb6523df413f8ac

TeX (original user input):

{{\left| {{\Psi }_{ab}}\left( {{{\bar{r}}}_{1}},{{{\bar{r}}}_{2}} \right) \right|}^{2}}={{\left| {{e}^{ik({{x}_{1}}-{{x}_{2}})}}+{{e}^{-ik({{x}_{1}}-{{x}_{2}})}} \right|}^{2}}=2{{\cos }^{2}}k({{x}_{1}}-{{x}_{2}})

TeX (checked):

{{\left|{{\Psi }_{ab}}\left({{\bar {r}}_{1}},{{\bar {r}}_{2}}\right)\right|}^{2}}={{\left|{{e}^{ik({{x}_{1}}-{{x}_{2}})}}+{{e}^{-ik({{x}_{1}}-{{x}_{2}})}}\right|}^{2}}=2{{\cos }^{2}}k({{x}_{1}}-{{x}_{2}})

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MathML (2.072 KB / 383 B) :

|Ψab(r¯1,r¯2)|2=|eik(x1x2)+eik(x1x2)|2=2cos2k(x1x2)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>a</mi><mi>b</mi></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mstyle><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>k</mi><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></msup><mo>+</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>i</mi><mi>k</mi><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><mn>2</mn><msup><mi>cos</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>k</mi><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>&#x2212;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">)</mo></mrow></math>

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Calculated based on the variables occurring on the entire Identische Teilchen: Spin und Statistik page

Identifiers

  • Ψab
  • r¯1
  • r¯2
  • e
  • i
  • k
  • x1
  • x2
  • e
  • i
  • k
  • x1
  • x2
  • k
  • x1
  • x2

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