73 citations · 318 across the 15 of their papers we have counts for
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math-ph2002★ 13 cited
New classes of quasi-solvable potentials, their exactly-solvable limit and related orthogonal polynomials
Asish Ganguly
We have generated, using an sl(2,R) formalism, several new classes of quasi-solvable elliptic potentials, which in the appropriate limit go over to the exactly solvable forms. We h…
math-ph2002★ 22 cited
Associated Lame and various other new classes of elliptic potentials from sl(2,R) and related orthogonal polynomials
Asish Ganguly
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 f…
math-ph2002★ 18 cited
Associated LamÉ Equation, Periodic Potentials and sl(2,R)
Asish Ganguly
We propose a new approach based on the algebraization of the Associated Lamé equation \[-ψ''(x) + [ m(m+1)k^{2}sn^{2}x + \ell(\ell+1)k^{2}(cn^{2}x/dn^{2}x)]ψ(x) = Eψ(x)\] within sl…