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quant-ph2018
Exactness of Bohr-Sommerfeld quantisation for two non-central potentials
David T. S. Perkins, Robert A. Smith
In this paper we demonstrate the integrability of the Hamilton-Jacobi equation for two non-central potentials in spherical polar coordinates, and present complete solutions for the…
quant-ph2009
Factorization solution of Cariñena's quantum nonlinear oscillator
Jonathan M Fellows, Robert A Smith
In a recent paper Cariñena et al analyzed a non-polynomial one-dimensional quantum potential representing an oscillator which they argued was intermediate between the harmonic and…