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Display information for equation id:math.2697.11 on revision:2697

* Page found: Helizität und Spin (eq math.2697.11)

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Hash: 326b1d1ede3e24903701fe582b59f6a4

TeX (original user input):

{{\phi }_{+}}^{\left( \sigma  \right)}\left( {\underline{k}} \right):=N\left( \begin{align}
& \left( E+m \right)\left| \sigma ,\hat{k} \right\rangle  \\
& \left( \underline{k}.\underline{\sigma } \right)\left| \sigma ,\hat{k} \right\rangle  \\
\end{align} \right)\quad {{\phi }_{-}}^{\left( \sigma  \right)}\left( {\underline{k}} \right):=N\left( \begin{align}
& \left( \underline{k}.\underline{\sigma } \right)\left| \sigma ,\hat{k} \right\rangle  \\
& \left( E+m \right)\left| \sigma ,\hat{k} \right\rangle  \\
\end{align} \right)

TeX (checked):

{{\phi }_{+}}^{\left(\sigma \right)}\left({\underline {k}}\right):=N\left({\begin{aligned}&\left(E+m\right)\left|\sigma ,{\hat {k}}\right\rangle \\&\left({\underline {k}}.{\underline {\sigma }}\right)\left|\sigma ,{\hat {k}}\right\rangle \\\end{aligned}}\right)\quad {{\phi }_{-}}^{\left(\sigma \right)}\left({\underline {k}}\right):=N\left({\begin{aligned}&\left({\underline {k}}.{\underline {\sigma }}\right)\left|\sigma ,{\hat {k}}\right\rangle \\&\left(E+m\right)\left|\sigma ,{\hat {k}}\right\rangle \\\end{aligned}}\right)

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MathML (3.557 KB / 448 B) :

ϕ+(σ)(k_):=N((E+m)|σ,k̂(k_.σ_)|σ,k̂)ϕ(σ)(k_):=N((k_.σ_)|σ,k̂(E+m)|σ,k̂)
<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"><msup><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">+</mo></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>σ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>k</mi><mo>_</mo></munder></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">:=</mo><mi>N</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>E</mi><mo stretchy="false">+</mo><mi>m</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>σ</mi><mo>,</mo><mover><mi>k</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE"></mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>k</mi><mo>_</mo></munder></mrow><mo stretchy="false">.</mo><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>σ</mi><mo>,</mo><mover><mi>k</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE"></mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="1em"></mspace><msup><msub><mi>ϕ</mi><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0"></mo></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>σ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>k</mi><mo>_</mo></munder></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">:=</mo><mi>N</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><munder><mi>k</mi><mo>_</mo></munder></mrow><mo stretchy="false">.</mo><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>σ</mi><mo>,</mo><mover><mi>k</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE"></mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>E</mi><mo stretchy="false">+</mo><mi>m</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>σ</mi><mo>,</mo><mover><mi>k</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE"></mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Helizität und Spin page

Identifiers

  • ϕ+
  • σ
  • k_
  • N
  • E
  • m
  • σ
  • k̂
  • k_
  • σ_
  • σ
  • k̂
  • ϕ
  • σ
  • k_
  • N
  • k_
  • σ_
  • σ
  • k̂
  • E
  • m
  • σ
  • k̂

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