Connection between Coulomb and oscillator problems
- 1 January 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (1) , L7-L11
- https://doi.org/10.1088/0305-4470/12/1/003
Abstract
A connection between the energy eigenvalues of the Coulomb and three-dimensional oscillator potentials is shown both semiclassically and quantum mechanically. The transformation between the corresponding wavefunctions is obtained and is used to give a new derivation of the transmission factor for a one-dimensional parabolic barrier.Keywords
This publication has 2 references indexed in Scilit:
- Semiclassical approximations in wave mechanicsReports on Progress in Physics, 1972
- Quantum effects near a barrier maximumAnnals of Physics, 1959