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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 (1.741 KB / 461 B) :

<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>ρ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><munder><mo form="prefix" texclass="OP">∑</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>∈</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">ℏ</mi><msub><mi>∂</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">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</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>α</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">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mstyle></mrow></math>
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