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Display information for equation id:math.1664.54 on revision:1664

* Page found: Drehimpuls- Eigenzustände (eq math.1664.54)

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Drehimpuls- Eigenzustände Eq: math.1667.54

Hash: edc5c190dd0b20378307f5f9b228fff5

TeX (original user input):

\begin{align}

& {{{\hat{L}}}_{3}}{{\left( {{{\hat{L}}}_{+}} \right)}^{n}}\left| a,{{b}_{0}} \right\rangle =\left( {{b}_{0}}+n\hbar  \right){{\left( {{{\hat{L}}}_{+}} \right)}^{n}}\left| a,{{b}_{0}} \right\rangle  \\

& {{{\hat{L}}}_{3}}{{\left( {{{\hat{L}}}_{-}} \right)}^{m}}\left| a,{{b}_{0}} \right\rangle =\left( {{b}_{0}}-m\hbar  \right){{\left( {{{\hat{L}}}_{-}} \right)}^{m}}\left| a,{{b}_{0}} \right\rangle  \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\hat {L}}_{3}}{{\left({{\hat {L}}_{+}}\right)}^{n}}\left|a,{{b}_{0}}\right\rangle =\left({{b}_{0}}+n\hbar \right){{\left({{\hat {L}}_{+}}\right)}^{n}}\left|a,{{b}_{0}}\right\rangle \\&{{\hat {L}}_{3}}{{\left({{\hat {L}}_{-}}\right)}^{m}}\left|a,{{b}_{0}}\right\rangle =\left({{b}_{0}}-m\hbar \right){{\left({{\hat {L}}_{-}}\right)}^{m}}\left|a,{{b}_{0}}\right\rangle \\\end{aligned}}

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MathML (3.265 KB / 435 B) :

\begin{matrix} {\hat{L}}_{3} {({\hat{L}}_{+})}^{n} | a, b_{0} ⟩ = (b_{0} + n ℏ) {({\hat{L}}_{+})}^{n} | a, b_{0} ⟩ \\ {\hat{L}}_{3} {({\hat{L}}_{-})}^{m} | a, b_{0} ⟩ = (b_{0} - m ℏ) {({\hat{L}}_{-})}^{m} | a, b_{0} ⟩ \end{matrix}

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Identifiers

${\hat{L}}_{3}$

${\hat{L}}_{+}$

$n$

$a$

$b_{0}$

$b_{0}$

$n$

${\hat{L}}_{+}$

$n$

$a$

$b_{0}$

${\hat{L}}_{3}$

${\hat{L}}_{-}$

$m$

$a$

$b_{0}$

$b_{0}$

$m$

${\hat{L}}_{-}$

$m$

$a$

$b_{0}$

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