Associated Lame and various other new classes of elliptic potentials from sl(2,R) and related orthogonal polynomials

被引:16
作者
Ganguly, A [1 ]
机构
[1] Univ Calcutta, Dept Appl Math, Kolkata 700009, India
关键词
D O I
10.1063/1.1455687
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using representations of sl(2,R) generators which yield associated Lame Hamiltonians we obtain new classes of elliptic potentials. We explicitly calculate eigenstates and spectra for these potentials and construct the associated orthogonal polynomials. We show that in the proper limit these potentials reduce to well-known exactly solvable potentials. (C) 2002 American Institute of Physics.
引用
收藏
页码:1980 / 1999
页数:20
相关论文
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