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An approach to one-dimensional elliptic quasi-exactly solvable models |
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| Authors: | M. A. Fasihi M. A. Jafarizadeh M. Rezaei |
| Affiliation: | (1) Department of Physics, Azarbijan University of Tarbiat Moallem, Tabriz, 53714-161, Iran;(2) Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz, 51664, Iran;(3) Institute for Studies in Theoretical Physics and Mathematics, Tehran, 19395-1795, Iran;(4) Research Institute for Fundamental Sciences, Tabriz, 51664, Iran |
| Abstract: | One-dimensional Jacobian elliptic quasi-exactly solvable second-order differential equations are obtained by introducing the generalized third master functions. It is shown that the solutions of these differential equations are generating functions for a new set of polynomials in terms of energy with factorization property. The roots of these polynomials are the same as the eigenvalues of the differential equations. Some one-dimensional elliptic quasi-exactly quantum solvable models are obtained from these differential equations. |
| Keywords: | Quasi-exactly solvable potential master function |
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