61 citations · 188 across the 12 of their papers we have counts for
12 papers
Exactness of SWKB for Shape Invariant Potentials
Asim Gangopadhyaya, Jeffry V. Mallow, Constantin Rasinariu +1
The supersymmetry based semiclassical method (SWKB) is known to produce exact spectra for conventional shape invariant potentials. In this paper we prove that this exactness follow…
Inter-relations between additive shape invariant superpotentials
Jeffry V. Mallow, Asim Gangopadhyaya, Jonathan Bougie +1
All known additive shape invariant superpotentials in nonrelativistic quantum mechanics belong to one of two categories: superpotentials that do not explicitly depend on , a…
Generation of a Novel Exactly Solvable Potential
Jonathan Bougie, Asim Gangopadhyaya, Jeffry V. Mallow +1
We report a new shape invariant (SI) isospectral extension of the Morse potential. Previous investigations have shown that the list of "conventional" SI superpotentials that do not…
Method for Generating Additive Shape Invariant Potentials from an Euler Equation
Jonathan Bougie, Asim Gangopadhyaya, Jeffry V. Mallow
In the supersymmetric quantum mechanics formalism, the shape invariance condition provides a sufficient constraint to make a quantum mechanical problem solvable; i.e., we can deter…
Generation of a Complete Set of Supersymmetric Shape Invariant Potentials from an Euler Equation
Jonathan Bougie, Asim Gangopadhyaya, Jeffry V. Mallow
In supersymmetric quantum mechanics, shape invariance is a sufficient condition for solvability. We show that all conventional additive shape invariant superpotentials that are ind…
Ab Initio Method for Obtaining Exactly Solvable Quantum Mechanical Potentials
Asim Gangopadhyaya, Jeffry V. Mallow
The shape invariance condition is the integrability condition in supersymmetric quantum mechanics (SUSYQM). It is a difference-differential equation connecting the superpotential W…