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

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

2002-07-20

arxiv.org/abs/math-ph/0207028v1

Published in J. Math. Phys. 43,1980(2002)

Physics

Mathematical Physics

34 pages, 4 tables, 1 figure, PDF file

Scientific paper

10.1063/1.1455687

Using representations of sl(2,R) generators which yield associated Lame
Hamiltonians we obtain new classes of elliptic potentials. We explicitly
calculate eigenvalues 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.

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