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Display information for equation id:math.2228.98 on revision:2228
* Page found: Quantentheoretischer Zugang (eq math.2228.98)
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Hash: 0771e8b63a5681083b10c6ed8322f6d1
TeX (original user input):
\rho =\sum\limits_{i}{{{w}_{i}}\left| {{\Psi }_{i}} \right\rangle \left\langle {{\Psi }_{i}} \right|},\ \quad \left| {{\Psi }_{1}} \right\rangle =\left| \to \right\rangle ,\quad \left| {{\Psi }_{2}} \right\rangle =\left| \uparrow \right\rangle ,\quad {{w}_{1}}={{w}_{2}}=\frac{1}{2}
TeX (checked):
\rho =\sum \limits _{i}{{{w}_{i}}\left|{{\Psi }_{i}}\right\rangle \left\langle {{\Psi }_{i}}\right|},\ \quad \left|{{\Psi }_{1}}\right\rangle =\left|\to \right\rangle ,\quad \left|{{\Psi }_{2}}\right\rangle =\left|\uparrow \right\rangle ,\quad {{w}_{1}}={{w}_{2}}={\frac {1}{2}}
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<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ρ</mi><mo stretchy="false">=</mo><munder><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><mrow data-mjx-texclass="ORD"><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow><mo>,</mo><mtext> </mtext><mspace width="1em"></mspace><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo stretchy="false" accent="false">→</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>,</mo><mspace width="1em"></mspace><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo stretchy="false">↑</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>,</mo><mspace width="1em"></mspace><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">=</mo><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mstyle></mrow></math>
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