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Display information for equation id:math.1826.0 on revision:1826

* Page found: Das Wasserstoffatom (relativistsich) (eq math.1826.0)

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TeX (original user input): 

\begin{align}

& H=\left( c\bar{\alpha }\bar{p}+{{m}_{0}}{{c}^{2}}\beta +V(r) \right) \\

& {{p}_{r}}:=\frac{1}{r}\left( \bar{r}\bar{p}-i\hbar  \right) \\

& {{\alpha }_{r}}:=\frac{1}{r}\bar{\alpha }\bar{r} \\

& \hbar Q:=\beta \left( \tilde{\bar{\sigma }}\bar{L}+\hbar  \right) \\

\end{align}

TeX (checked): 

{\begin{aligned}&H=\left(c{\bar {\alpha }}{\bar {p}}+{{m}_{0}}{{c}^{2}}\beta +V(r)\right)\\&{{p}_{r}}:={\frac {1}{r}}\left({\bar {r}}{\bar {p}}-i\hbar \right)\\&{{\alpha }_{r}}:={\frac {1}{r}}{\bar {\alpha }}{\bar {r}}\\&\hbar Q:=\beta \left({\tilde {\bar {\sigma }}}{\bar {L}}+\hbar \right)\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (22.925 KB / 2.782 KB) :

H = ( c ⁢ α ¯ ⁢ p ¯ + m 0 ⁢ c 2 ⁢ β + V ⁢ ( r ) ) p r := 1 r ⁢ ( r ¯ ⁢ p ¯ - i ⁢ ℏ ) α r := 1 r ⁢ α ¯ ⁢ r ¯ ℏ ⁢ Q := β ⁢ ( σ ¯ ~ ⁢ L ¯ + ℏ ) absent 𝐻 𝑐 ¯ 𝛼 ¯ 𝑝 subscript 𝑚 0 superscript 𝑐 2 𝛽 𝑉 𝑟 absent assign subscript 𝑝 𝑟 1 𝑟 ¯ 𝑟 ¯ 𝑝 𝑖 Planck-constant-over-2-pi absent assign subscript 𝛼 𝑟 1 𝑟 ¯ 𝛼 ¯ 𝑟 absent assign Planck-constant-over-2-pi 𝑄 𝛽 ~ ¯ 𝜎 ¯ 𝐿 Planck-constant-over-2-pi {\displaystyle{\displaystyle\begin{aligned} \par&\displaystyle H=\left(c\bar{% \alpha}\bar{p}+{{m}_{0}}{{c}^{2}}\beta+V(r)\right)\\ \par&\displaystyle{{p}_{r}}:=\frac{1}{r}\left(\bar{r}\bar{p}-i\hbar\right)\\ \par&\displaystyle{{\alpha}_{r}}:=\frac{1}{r}\bar{\alpha}\bar{r}\\ \par&\displaystyle\hbar Q:=\beta\left(\tilde{\bar{\sigma}}\bar{L}+\hbar\right)% \\ \par\end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (2.783 KB / 503 B) :

H=(cα¯p¯+m0c2β+V(r))pr:=1r(r¯p¯−iℏ)αr:=1rα¯r¯ℏQ:=β(σ¯~L¯+ℏ)

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Calculated based on the variables occurring on the entire Das Wasserstoffatom (relativistsich) page

Identifiers

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  • c
  • α¯
  • p¯
  • m0
  • c
  • β
  • V
  • r
  • pr
  • r
  • r¯
  • p¯
  • i
  • αr
  • r
  • α¯
  • r¯
  • Q
  • β
  • σ¯~
  • L¯

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