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Display information for equation id:math.2711.133 on revision:2711

* Page found: Formaler Aufbau der Quantenmechanik (eq math.2711.133)

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Hash: 22aac21efb51298416345c8997134e0c

TeX (original user input):

\hat{H}\left( t \right)=\underline{B}\left( t \right)\underline{\sigma }=\left( \begin{matrix}
{{B}_{z}}\left( t \right) & B_{||}^{*}\left( t \right)  \\
B_{||}^{*}\left( t \right) & -{{B}_{z}}\left( t \right)  \\
\end{matrix} \right)\quad {{B}_{||}}\left( t \right)={{B}_{x}}\left( t \right)+\mathfrak{i} {{B}_{y}}\left( t \right)

TeX (checked):

{\hat {H}}\left(t\right)={\underline {B}}\left(t\right){\underline {\sigma }}=\left({\begin{matrix}{{B}_{z}}\left(t\right)&B_{||}^{*}\left(t\right)\\B_{||}^{*}\left(t\right)&-{{B}_{z}}\left(t\right)\\\end{matrix}}\right)\quad {{B}_{||}}\left(t\right)={{B}_{x}}\left(t\right)+{\mathfrak {i}}{{B}_{y}}\left(t\right)

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MathML (2.669 KB / 443 B) :

H^(t)=B_(t)σ_=(Bz(t)B||*(t)B||*(t)Bz(t))B||(t)=Bx(t)+iBy(t)
<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"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><munder><mi>B</mi><mo>_</mo></munder></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><munder><mi>&#x03C3;</mi><mo>_</mo></munder></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd><mtd><msubsup><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>|</mo><mo>|</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mo>*</mo></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd><msubsup><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>|</mo><mo>|</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mo>*</mo></mrow></msubsup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd><mtd><mo>&#x2212;</mo><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="1em"></mspace><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>|</mo><mo>|</mo></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi mathvariant="fraktur">i</mi></mrow></mrow><msub><mi>B</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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  • H^
  • t
  • B_
  • t
  • σ_
  • Bz
  • t
  • B
  • t
  • B
  • t
  • Bz
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  • B
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  • Bx
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  • i
  • By
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