Working paper
Equivalent power law potentials
- Abstract:
- 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.
- Publication status:
- Not published
- Peer review status:
- Not peer reviewed
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(Preview, Author's original, pdf, 145.0KB, Terms of use)
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- Publication website:
- https://arxiv.org/abs/1410.5594
Authors
- Publication date:
- 2018-09-13
Terms of use
- Copyright holder:
- C.V.Sukumar
- Copyright date:
- 2014
- Notes:
- 10 pages This is an unpublished working paper, © C. Sukumar.
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