Title : ( Generalized master function approach to one-dimensional quasiexactly solvable models )
Authors: M. A. Jafarizadeh , Seyed Javad Akhtarshenas ,
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Abstract
By introducing the generalized master function of order up to four together with corresponding weight function, we have obtained all one-dimensional quasiexactly solvable second order differential equations. It is shown that these differential equations have solutions of polynomial type with factorization properties, that is polynomial solutions Pm(E) can be factorized in terms of polynomial Pn1(E) for mn1. All known one-dimensional quasiexactly quantum solvable models can be obtained from these differential equations, where roots of polynomial Pn1(E) are corresponding eigenvalues.
Keywords
, Solvable models, Quasiexactly solvable models, Master function
@article{paperid:1064800,
author = {M. A. Jafarizadeh and Akhtarshenas, Seyed Javad},
title = {Generalized master function approach to one-dimensional quasiexactly solvable models},
journal = {Journal of Mathematical Physics},
year = {2000},
volume = {41},
number = {11},
month = {November},
issn = {0022-2488},
pages = {7783--7796},
numpages = {13},
keywords = {Solvable models; Quasiexactly solvable models; Master function},
}
%0 Journal Article
%T Generalized master function approach to one-dimensional quasiexactly solvable models
%A M. A. Jafarizadeh
%A Akhtarshenas, Seyed Javad
%J Journal of Mathematical Physics
%@ 0022-2488
%D 2000
