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A unified treatment of exactly solvable and quasi-exactly solvable quantum potentials
, A. Ganguly
Published in
2003
Volume: 36
   
Issue: 11
Pages: L161 - L167
Abstract
By exploiting the hidden algebraic structure of the Schrödinger Hamiltonian, namely the sl(2), we propose a unified approach of generating both exactly solvable and quasi-exactly solvable potentials. We obtain, in this way, two new classes of quasi-exactly solvable systems one of which is of periodic type while the other hyperbolic.
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