3 papers
hep-ph1997
Cyclic Shape Invariant Potentials
U. P. Sukhatme, C. Rasinariu, A. Khare
We formulate and study the set of coupled nonlinear differential equations which define a series of shape invariant potentials which repeats after a cycle of iterations. These…
hep-ph1993
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-…
hep-th1992
New Shape Invariant Potentials in Supersymmetric Quantum Mechanics
A. Khare, U. P. Sukhatme
Quantum mechanical potentials satisfying the property of shape invariance are well known to be algebraically solvable. Using a scaling ansatz for the change of parameters, we obtai…