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Display information for equation id:math.1745.33 on revision:1745

* Page found: Zeitunabhängige Störungsrechnung ohne Entartung (eq math.1745.33)

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Hash: 01de824c8922b10d10464c339ae9bca1

TeX (original user input):

\left| {{\Psi }_{k}} \right\rangle =\left| k \right\rangle \left( 1+i\varepsilon \gamma  \right)+\varepsilon \sum\limits_{n\ne k}{{}}\left| n \right\rangle \left\langle  n  |  {{\Psi }_{k}}^{(1)} \right\rangle +O({{\varepsilon }^{2}})

TeX (checked):

\left|{{\Psi }_{k}}\right\rangle =\left|k\right\rangle \left(1+i\varepsilon \gamma \right)+\varepsilon \sum \limits _{n\neq k}{}\left|n\right\rangle \left\langle n|{{\Psi }_{k}}^{(1)}\right\rangle +O({{\varepsilon }^{2}})

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MathML (1.531 KB / 399 B) :

|Ψk=|k(1+iεγ)+εnk|nn|Ψk(1)+O(ε2)
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>k</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo>+</mo><mi>i</mi><mi>&#x03B5;</mi><mi>&#x03B3;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>&#x03B5;</mi><munder><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>&#x2260;</mo><mi>k</mi></mrow></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">&#x27E8;</mo><mi>n</mi><mo>|</mo><msup><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>+</mo><mi>O</mi><mo stretchy="false">(</mo><msup><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Zeitunabhängige Störungsrechnung ohne Entartung page

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  • Ψk
  • k
  • i
  • ε
  • γ
  • ε
  • n
  • k
  • n
  • n
  • Ψk
  • O
  • ε

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