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Is the Lowest Order Supersymmetric WKB Approximation Exact for All Shape Invariant Potentials ?
D. T. Barclay, Avinash Khare, U. Sukhatme
It has previously been proved that the lowest order supersymmetric WKB approximation reproduces the exact bound state spectrum of shape invariant potentials. We show that this is n…
Inter-Relations of Solvable Potentials
Asim Gangopadhyaya, Prasanta K. Panigrahi, Uday P. Sukhatme
Solvable Natanzon potentials in nonrelativistic quantum mechanics are known to group into two disjoint classes depending on whether the Schrödinger equation can be reduced to a hyp…
Bound States in the Continuum from Supersymmetric Quantum Mechanics
J. Pappademos, U. Sukhatme, A. Pagnamenta
Starting from a potential with a continuum of energy eigenstates, we show how the methods of supersymmetric quantum mechanics can be used to generate families of potentials with bo…
An Alternate Approach to Transition Potentials
Asim Gangopadhyaya, Prasanta K. Panigrahi, Uday P. Sukhatme
We analyze transition potentials in non-relativistic quantum mechanics using the techniques of supersymmetry. For the range $-1/4…
New Eaxactly Solvable Hamiltonians: Shape Invariance and Self-Similarity
D. T. Barclay, R. Dutt, A. Gangopadhyaya +3
We discuss in some detail the self-similar potentials of Shabat and Spiridonov which are reflectionless and have an infinite number of bound states. We demonstrate that these self-…