Zur Navigation springen Zur Suche springen

General

Display information for equation id:math.1693.29 on revision:1693

* Page found: Spin- Operatoren und Zustände (eq math.1693.29)

(force rerendering)

Occurrences on the following pages:

Hash: 09bb357488bbbc6f205ab39b15470062

TeX (original user input): 

\begin{align}

& \left( {{{\hat{\bar{\sigma }}}}_{1}}+i{{{\hat{\bar{\sigma }}}}_{2}} \right)\left| \downarrow  \right\rangle =\left( i{{{\hat{\bar{\sigma }}}}_{2}}+i{{{\hat{\bar{\sigma }}}}_{2}} \right)\left| \downarrow  \right\rangle =2\left| \uparrow  \right\rangle  \\

& \left( {{{\hat{\bar{\sigma }}}}_{1}}-i{{{\hat{\bar{\sigma }}}}_{2}} \right)\left| \uparrow  \right\rangle =-\left( i{{{\hat{\bar{\sigma }}}}_{2}}+i{{{\hat{\bar{\sigma }}}}_{2}} \right)\left| \uparrow  \right\rangle =2\left| \downarrow  \right\rangle  \\

& \Rightarrow {{{\hat{\bar{\sigma }}}}_{2}}\left| \downarrow  \right\rangle =-i\left| \uparrow  \right\rangle  \\

& {{{\hat{\bar{\sigma }}}}_{2}}\left| \uparrow  \right\rangle =i\left| \downarrow  \right\rangle  \\

\end{align}

TeX (checked): 

{\begin{aligned}&\left({{\hat {\bar {\sigma }}}_{1}}+i{{\hat {\bar {\sigma }}}_{2}}\right)\left|\downarrow \right\rangle =\left(i{{\hat {\bar {\sigma }}}_{2}}+i{{\hat {\bar {\sigma }}}_{2}}\right)\left|\downarrow \right\rangle =2\left|\uparrow \right\rangle \\&\left({{\hat {\bar {\sigma }}}_{1}}-i{{\hat {\bar {\sigma }}}_{2}}\right)\left|\uparrow \right\rangle =-\left(i{{\hat {\bar {\sigma }}}_{2}}+i{{\hat {\bar {\sigma }}}_{2}}\right)\left|\uparrow \right\rangle =2\left|\downarrow \right\rangle \\&\Rightarrow {{\hat {\bar {\sigma }}}_{2}}\left|\downarrow \right\rangle =-i\left|\uparrow \right\rangle \\&{{\hat {\bar {\sigma }}}_{2}}\left|\uparrow \right\rangle =i\left|\downarrow \right\rangle \\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimentell; keine Bilder) rendering

MathML (5.229 KB / 470 B) :

(σ¯^1+iσ¯^2)|↓⟩=(iσ¯^2+iσ¯^2)|↓⟩=2|↑⟩(σ¯^1−iσ¯^2)|↑⟩=−(iσ¯^2+iσ¯^2)|↑⟩=2|↓⟩⇒σ¯^2|↓⟩=−i|↑⟩σ¯^2|↑⟩=i|↓⟩
<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"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>+</mo><mi>i</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>&#x2193;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>i</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>+</mo><mi>i</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>&#x2193;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mn>2</mn><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>&#x2191;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>&#x2212;</mo><mi>i</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>&#x2191;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mo>&#x2212;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>i</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>+</mo><mi>i</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>&#x2191;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mn>2</mn><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>&#x2193;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>&#x2193;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mo>&#x2212;</mo><mi>i</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>&#x2191;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C3;</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>&#x2191;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow><mo>=</mo><mi>i</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>&#x2193;</mo><mo data-mjx-texclass="CLOSE">&#x27E9;</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Spin- Operatoren und Zustände page

Identifiers

  • σ¯^1
  • i
  • σ¯^2
  • i
  • σ¯^2
  • i
  • σ¯^2
  • σ¯^1
  • i
  • σ¯^2
  • i
  • σ¯^2
  • i
  • σ¯^2
  • σ¯^2
  • i
  • σ¯^2
  • i

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“