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Equivalent power law potentials
Sukumar, C. V....

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Equivalent power law potentials by Sukumar, C. V. ( Author )
Lemonjar Open Access
Australian National University
06-09-2023
It is shown that the radial Schroedinger equation for a power law potential and a particular angular momentum may be transformed using a change of variable into another Schroedinger equation for a different power law potential and a different angular momentum. It is shown that this leads to a mapping of the spectra of the two related power law potentials. It is shown that a similar correspondence between the classical orbits in the two related power law potentials exists. The well known correspondence of the Coulomb and oscillator spectra is a special case of a more general correspondence between power law potentials.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1410.5594
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