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Display information for equation id:math.1587.82 on revision:1587

* Page found: Schrödingergleichung mit äußeren Potenzialen (eq math.1587.82)

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Hash: d2bccdcbfd0f17fb4a7fd4afa8c564ce

TeX (original user input):

\Psi ({{\bar{r}}_{s}})={{\Psi }_{1}}\acute{\ }{{e}^{-i\frac{e}{\hbar }\int\limits_{1}^{{}}{\bar{A}(\bar{s})d\bar{s}}}}+{{\Psi }_{2}}\acute{\ }{{e}^{-i\frac{e}{\hbar }\int\limits_{2}^{{}}{\bar{A}(\bar{s})d\bar{s}}}}=\left( {{\Psi }_{1}}\acute{\ }({{{\bar{r}}}_{s}},t){{e}^{-i\frac{e}{\hbar }{{\Phi }_{B}}}}+{{\Psi }_{2}}\acute{\ }({{{\bar{r}}}_{s}},t) \right){{e}^{-i\frac{e}{\hbar }\int\limits_{2}^{{}}{\bar{A}(\bar{s})d\bar{s}}}}

TeX (checked):

\Psi ({{\bar {r}}_{s}})={{\Psi }_{1}}{\acute {\ }}{{e}^{-i{\frac {e}{\hbar }}\int \limits _{1}^{}{{\bar {A}}({\bar {s}})d{\bar {s}}}}}+{{\Psi }_{2}}{\acute {\ }}{{e}^{-i{\frac {e}{\hbar }}\int \limits _{2}^{}{{\bar {A}}({\bar {s}})d{\bar {s}}}}}=\left({{\Psi }_{1}}{\acute {\ }}({{\bar {r}}_{s}},t){{e}^{-i{\frac {e}{\hbar }}{{\Phi }_{B}}}}+{{\Psi }_{2}}{\acute {\ }}({{\bar {r}}_{s}},t)\right){{e}^{-i{\frac {e}{\hbar }}\int \limits _{2}^{}{{\bar {A}}({\bar {s}})d{\bar {s}}}}}

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Ψ(r¯s)=Ψ1´eie1A¯(s¯)ds¯+Ψ2´eie2A¯(s¯)ds¯=(Ψ1´(r¯s,t)eieΦB+Ψ2´(r¯s,t))eie2A¯(s¯)ds¯
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texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>s</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>s</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow></mrow></msup><mo>+</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>i</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow 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width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo stretchy="false">(</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"><mi>s</mi></mrow></msub><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>i</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi></mrow></mfrac></mrow><msub><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mi>B</mi></mrow></msub></mrow></mrow></msup><mo>+</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><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 stretchy="false">(</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"><mi>s</mi></mrow></msub><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mi>i</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>e</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi></mrow></mfrac></mrow><munderover><mo form="prefix" texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>A</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>s</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>s</mi><mo>¯</mo></mover></mrow></mrow></mrow></mrow></mrow></msup></mstyle></mrow></math>

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

Identifiers

  • Ψ
  • r¯s
  • Ψ1
  • ´
  • e
  • i
  • e
  • A¯
  • s¯
  • s¯
  • Ψ2
  • ´
  • e
  • i
  • e
  • A¯
  • s¯
  • s¯
  • Ψ1
  • ´
  • r¯s
  • t
  • e
  • i
  • e
  • ΦB
  • Ψ2
  • ´
  • r¯s
  • t
  • e
  • i
  • e
  • A¯
  • s¯
  • s¯

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