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Display information for equation id:math.1615.85 on revision:1615

* Page found: Zustandsvektoren im Hilbertraum (eq math.1615.85)

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Zustandsvektoren im Hilbertraum Eq: math.1619.85

Hash: 0e7a70b3d986976d59526daa99b4d7c0

TeX (original user input):

\bar{a}=\sum\limits_{j}{{}}{{a}_{j}}\left| {{{\bar{e}}}_{j}} \right\rangle =\sum\limits_{j}{\left| {{{\bar{e}}}_{j}} \right\rangle \left\langle  {{{\bar{e}}}_{j}}  |  {\bar{a}} \right\rangle =\sum\limits_{j}{{}}{{a}_{j}}\acute{\ }\left| {{{\bar{e}}}_{j}}\acute{\ } \right\rangle }=\sum\limits_{j}{\left| {{{\bar{e}}}_{j}}\acute{\ } \right\rangle \left\langle  {{{\bar{e}}}_{j}}\acute{\ }  |  {\bar{a}} \right\rangle }

TeX (checked):

{\bar {a}}=\sum \limits _{j}{}{{a}_{j}}\left|{{\bar {e}}_{j}}\right\rangle =\sum \limits _{j}{\left|{{\bar {e}}_{j}}\right\rangle \left\langle {{\bar {e}}_{j}}|{\bar {a}}\right\rangle =\sum \limits _{j}{}{{a}_{j}}{\acute {\ }}\left|{{\bar {e}}_{j}}{\acute {\ }}\right\rangle }=\sum \limits _{j}{\left|{{\bar {e}}_{j}}{\acute {\ }}\right\rangle \left\langle {{\bar {e}}_{j}}{\acute {\ }}|{\bar {a}}\right\rangle }

LaTeXML (experimental; uses MathML) rendering

MathML (21.86 KB / 2.556 KB) :

{\displaystyle{\displaystyle\bar{a}=\sum\limits_{j}{{}}{{a}_{j}}\left|{{{\bar{% e}}}_{j}}\right\rangle=\sum\limits_{j}{\left|{{{\bar{e}}}_{j}}\right\rangle% \left\langle{{{\bar{e}}}_{j}}|{\bar{a}}\right\rangle=\sum\limits_{j}{{}}{{a}_{% j}}\acute{\ }\left|{{{\bar{e}}}_{j}}\acute{\ }\right\rangle}=\sum\limits_{j}{% \left|{{{\bar{e}}}_{j}}\acute{\ }\right\rangle\left\langle{{{\bar{e}}}_{j}}% \acute{\ }|{\bar{a}}\right\rangle}}}

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    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\bar{a}=\sum\limits_{j}{{}}{{a}_{j}}\left|{{{\bar{%
e}}}_{j}}\right\rangle=\sum\limits_{j}{\left|{{{\bar{e}}}_{j}}\right\rangle%
\left\langle{{{\bar{e}}}_{j}}|{\bar{a}}\right\rangle=\sum\limits_{j}{{}}{{a}_{%
j}}\acute{\ }\left|{{{\bar{e}}}_{j}}\acute{\ }\right\rangle}=\sum\limits_{j}{%
\left|{{{\bar{e}}}_{j}}\acute{\ }\right\rangle\left\langle{{{\bar{e}}}_{j}}%
\acute{\ }|{\bar{a}}\right\rangle}}}</annotation>
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</math>

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MathML (experimental; no images) rendering

MathML (3.472 KB / 382 B) :

\bar{a} = \sum_{j} a_{j} | {\bar{e}}_{j} ⟩ = \sum_{j} | {\bar{e}}_{j} ⟩ ⟨ {\bar{e}}_{j} | \bar{a} ⟩ = \sum_{j} a_{j} \overset{´}{} | {\bar{e}}_{j} \overset{´}{} ⟩ = \sum_{j} | {\bar{e}}_{j} \overset{´}{} ⟩ ⟨ {\bar{e}}_{j} \overset{´}{} | \bar{a} ⟩

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Translations to Computer Algebra Systems

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Identifiers

$\bar{a}$

$j$

$a_{j}$

${\bar{e}}_{j}$

$j$

${\bar{e}}_{j}$

${\bar{e}}_{j}$

$\bar{a}$

$j$

$a_{j}$

$\overset{´}{}$

${\bar{e}}_{j}$

$\overset{´}{}$

$j$

${\bar{e}}_{j}$

$\overset{´}{}$

${\bar{e}}_{j}$

$\overset{´}{}$

$\bar{a}$

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