paper

A Study of Quasi-Exactly Solvable Models within the Quantum Hamilton-Jacobi Method

arXiv:quant-ph/0207036 · doi:10.1088/0305-4470/36/16/309

Abstract

A few quasi-exactly solvable models are studied within the quantum Hamilton-Jacobi formalism. By assuming a simple singularity structure of the quantum momentum function, we show that the exact quantization condition leads to the condition for quasi-exact solvability.

7 pages, RevTex Style, corrected some typos. The main results of the paper remain unchanged. However a set of new conclusions about the zeros of the eigenfunction have been included. The manuscript has been accepted for publishing in Jour. Phys. A: Mathematical and General

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