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Display information for equation id:math.1661.88 on revision:1661
* Page found: Der harmonische Oszillator (eq math.1661.88)
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Hash: ecca8847b87dcd71e359b2cd5bbf6a3c
TeX (original user input):
\begin{align}
& {{\phi }_{n}}(\xi )=\frac{1}{{{i}^{n}}}\frac{{{A}_{0}}}{\sqrt{{{2}^{n}}n!}}{{\left( -1 \right)}^{n}}{{e}^{\left( \frac{{{\xi }^{2}}}{2} \right)}}\frac{{{d}^{n}}}{{{\left( d\xi \right)}^{n}}}{{e}^{-{{\xi }^{2}}}} \\
& \Rightarrow {{\phi }_{n}}(\xi )=\frac{{{\left( \frac{m\omega }{\hbar \pi } \right)}^{\frac{1}{4}}}}{\sqrt{{{\left( -2 \right)}^{n}}n!}}{{H}_{n}}(\xi ){{e}^{-\frac{{{\xi }^{2}}}{2}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\phi }_{n}}(\xi )={\frac {1}{{i}^{n}}}{\frac {{A}_{0}}{\sqrt {{{2}^{n}}n!}}}{{\left(-1\right)}^{n}}{{e}^{\left({\frac {{\xi }^{2}}{2}}\right)}}{\frac {{d}^{n}}{{\left(d\xi \right)}^{n}}}{{e}^{-{{\xi }^{2}}}}\\&\Rightarrow {{\phi }_{n}}(\xi )={\frac {{\left({\frac {m\omega }{\hbar \pi }}\right)}^{\frac {1}{4}}}{\sqrt {{{\left(-2\right)}^{n}}n!}}}{{H}_{n}}(\xi ){{e}^{-{\frac {{\xi }^{2}}{2}}}}\\\end{aligned}}
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