133 citations · 293 across the 6 of their papers we have counts for
6 papers
Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory
Rajat K. Bhaduri, Jamal Sakhr, D. W. L. Sprung +2
We examine shape invariant potentials (excluding those that are obtained by scaling) in supersymmetric quantum mechanics from the stand-point of periodic orbit theory. An exact tra…
New Solvable Singular Potentials
R. Dutt, A. Gangopadhyaya, C. Rasinariu +1
We obtain three new solvable, real, shape invariant potentials starting from the harmonic oscillator, Pöschl-Teller I and Pöschl-Teller II potentials on the half-axis and extending…
Coordinate Realizations of Deformed Lie Algebras with Three Generators
R. Dutt, A. Gangopadhyaya, C. Rasinariu +1
Differential realizations in coordinate space for deformed Lie algebras with three generators are obtained using bosonic creation and annihilation operators satisfying Heisenberg c…
Algebraic Shape Invariant Models
S. Chaturvedi, R. Dutt, A. Gangopadhyaya +3
Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of paramet…
Non-Central Potentials and Spherical Harmonics Using Supersymmetry and Shape Invariance
Ranabir Dutt, Asim Gangopadhyaya, Uday P. Sukhatme
It is shown that the operator methods of supersymmetric quantum mechanics and the concept of shape invariance can profitably be used to derive properties of spherical harmonics in…
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-…