numexercises7_15
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numexercises7_15 [2014/07/15 08:48] bogner |
numexercises7_15 [2014/07/18 05:04] (current) schunck |
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| Recall that the HO wavefunctions are given by | Recall that the HO wavefunctions are given by | ||
| \begin{equation} | \begin{equation} | ||
| - | R_{nl}(r) = \frac{A_{nl}}{b^{3/2}}x^le^{-x^2/2}L_{n}^{l+1/2}(x^2)\,, | + | R_{nl}(r) = \frac{A_{nl}}{b^{3/2}}\xi^le^{-\xi^2/2}L_{n}^{l+1/2}(\xi^2)\,, |
| \end{equation} | \end{equation} | ||
| - | where the oscillator length $b\equiv \sqrt{\hbar/(m\omega)}$, and the dimensionless variable $x\equiv r/b$. The normalization constant is given by | + | where the oscillator length $b\equiv \sqrt{\hbar/(m\omega)}$, and the dimensionless variable $\xi\equiv r/b$. The normalization constant is given by |
| \begin{equation} | \begin{equation} | ||
numexercises7_15.1405428510.txt.gz ยท Last modified: 2014/07/15 08:48 by bogner
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