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Display information for equation id:math.1717.80 on revision:1717

* Page found: Identische Teilchen: Spin und Statistik (eq math.1717.80)

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Hash: 031f89aa1a0e36c7b4bb45ecc585f88d

TeX (original user input): 

{{\left| {{\Psi }_{ab}}\left( {{{\bar{r}}}_{1}},{{{\bar{r}}}_{2}} \right) \right|}^{2}}={{\left| \left\langle  {{{\bar{r}}}_{1}}{{{\bar{r}}}_{2}}  |  ab \right\rangle  \right|}^{2}}={{\left| _{1}\left\langle  {{{\bar{r}}}_{1}} \right|{{\left| a \right\rangle }_{1}}_{2}\left\langle  {{{\bar{r}}}_{2}} \right|{{\left| b \right\rangle }_{2}} \right|}^{2}}={{\left| {{\Psi }_{a}}\left( {{{\bar{r}}}_{1}} \right) \right|}^{2}}{{\left| {{\Psi }_{b}}\left( {{{\bar{r}}}_{2}} \right) \right|}^{2}}

TeX (checked): 

{{\left|{{\Psi }_{ab}}\left({{\bar {r}}_{1}},{{\bar {r}}_{2}}\right)\right|}^{2}}={{\left|\left\langle {{\bar {r}}_{1}}{{\bar {r}}_{2}}|ab\right\rangle \right|}^{2}}={{\left|_{1}\left\langle {{\bar {r}}_{1}}\right|{{\left|a\right\rangle }_{1}}_{2}\left\langle {{\bar {r}}_{2}}\right|{{\left|b\right\rangle }_{2}}\right|}^{2}}={{\left|{{\Psi }_{a}}\left({{\bar {r}}_{1}}\right)\right|}^{2}}{{\left|{{\Psi }_{b}}\left({{\bar {r}}_{2}}\right)\right|}^{2}}

LaTeXML (experimental; uses MathML) rendering

MathML (20.093 KB / 2.654 KB) :

| Ψ a ⁢ b ( r ¯ 1 , r ¯ 2 ) | 2 = | ⟨ r ¯ 1 r ¯ 2 | a b ⟩ | 2 = | ⟨ r ¯ 1 | | a ⟩ 1 2 1 ⟨ r ¯ 2 | | b ⟩ 2 | 2 = | Ψ a ( r ¯ 1 ) | 2 | Ψ b ( r ¯ 2 ) | 2 fragments | subscript Ψ 𝑎 𝑏 fragments ( subscript ¯ 𝑟 1 , subscript ¯ 𝑟 2 ) superscript | 2 | fragments ⟨ subscript ¯ 𝑟 1 subscript ¯ 𝑟 2 | a b ⟩ superscript | 2 | subscript subscript subscript fragments ⟨ subscript ¯ 𝑟 1 | | a ⟩ 1 2 1 subscript fragments ⟨ subscript ¯ 𝑟 2 | | b ⟩ 2 superscript | 2 | subscript Ψ 𝑎 fragments ( subscript ¯ 𝑟 1 ) superscript | 2 | subscript Ψ 𝑏 fragments ( subscript ¯ 𝑟 2 ) superscript | 2 {\displaystyle{\displaystyle{{\left|{{\Psi}_{ab}}\left({{{\bar{r}}}_{1}},{{{% \bar{r}}}_{2}}\right)\right|}^{2}}={{\left|\left\langle{{{\bar{r}}}_{1}}{{{% \bar{r}}}_{2}}|ab\right\rangle\right|}^{2}}={{\left|{}_{1}\left\langle{{{\bar{% r}}}_{1}}\right|{{\left|a\right\rangle}_{1}}_{2}\left\langle{{{\bar{r}}}_{2}}% \right|{{\left|b\right\rangle}_{2}}\right|}^{2}}={{\left|{{\Psi}_{a}}\left({{{% \bar{r}}}_{1}}\right)\right|}^{2}}{{\left|{{\Psi}_{b}}\left({{{\bar{r}}}_{2}}% \right)\right|}^{2}}}} 
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    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle{{\left|{{\Psi}_{ab}}\left({{{\bar{r}}}_{1}},{{{%
\bar{r}}}_{2}}\right)\right|}^{2}}={{\left|\left\langle{{{\bar{r}}}_{1}}{{{%
\bar{r}}}_{2}}|ab\right\rangle\right|}^{2}}={{\left|{}_{1}\left\langle{{{\bar{%
r}}}_{1}}\right|{{\left|a\right\rangle}_{1}}_{2}\left\langle{{{\bar{r}}}_{2}}%
\right|{{\left|b\right\rangle}_{2}}\right|}^{2}}={{\left|{{\Psi}_{a}}\left({{{%
\bar{r}}}_{1}}\right)\right|}^{2}}{{\left|{{\Psi}_{b}}\left({{{\bar{r}}}_{2}}%
\right)\right|}^{2}}}}</annotation>
  </semantics>
</math>

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MathML (3.881 KB / 415 B) :

|Ψab(r¯1,r¯2)|2=|⟨r¯1r¯2|ab⟩|2=|1⟨r¯1||a⟩12⟨r¯2||b⟩2|2=|Ψa(r¯1)|2|Ψb(r¯2)|2
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Similar pages

Calculated based on the variables occurring on the entire Identische Teilchen: Spin und Statistik page

Identifiers

  • Ψab
  • r¯1
  • r¯2
  • r¯1
  • r¯2
  • a
  • b
  • r¯1
  • a12
  • r¯2
  • b2
  • Ψa
  • r¯1
  • Ψb
  • r¯2

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