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Display information for equation id:math.2232.68 on revision:2232

* Page found: Quantentheoretischer Zugang (eq math.2232.68)

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Hash: 1edad4d6aeaf15da576c51ccc82668f9

TeX (original user input):

\text{Tr}\left( \rho  \right)=\sum\limits_{i}{{{w}_{i}}}=1\quad {{w}_{i}}\in [0,1],\quad \mathfrak{i}\hbar {{\partial }_{t}}\left| {{\Psi }_{i}} \right\rangle =\left( {{H}_{S}}+H_{S}^{\alpha } \right)\left| {{\Psi }_{i}} \right\rangle

TeX (checked):

{\text{Tr}}\left(\rho \right)=\sum \limits _{i}{{w}_{i}}=1\quad {{w}_{i}}\in [0,1],\quad {\mathfrak {i}}\hbar {{\partial }_{t}}\left|{{\Psi }_{i}}\right\rangle =\left({{H}_{S}}+H_{S}^{\alpha }\right)\left|{{\Psi }_{i}}\right\rangle

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MathML (experimentell; keine Bilder) rendering

MathML (1.741 KB / 461 B) :

Tr(ρ)=iwi=1wi[0,1],it|Ψi=(HS+HSα)|Ψi
<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="ORD"><mtext>Tr</mtext></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03C1;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><munder><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><mn>1</mn><mspace width="1em"></mspace><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>&#x2208;</mo><mo stretchy="false">[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo stretchy="false">]</mo><mo>,</mo><mspace width="1em"></mspace><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><mi data-mjx-alternate="1">&#x210F;</mi><msub><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo>+</mo><msubsup><mi>H</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03B1;</mi></mrow></msubsup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Quantentheoretischer Zugang page

Identifiers

  • ρ
  • i
  • wi
  • wi
  • i
  • t
  • Ψi
  • HS
  • H
  • S
  • α
  • Ψi

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