61 citations · 188 across the 12 of their papers we have counts for
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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…
Exactly solvable systems and the Quantum Hamilton-Jacobi formalism
Constantin Rasinariu, John J. Dykla, Asim Gangopadhyaya +1
We connect Quantum Hamilton-Jacobi Theory with supersymmetric quantum mechanics (SUSYQM). We show that the shape invariance, which is an integrability condition of SUSYQM, translat…
Supersymmetry in the Half-Oscillator - Revisited
Asim Gangopadhyaya, Jeffry V. Mallow
Following a recent study by Das and Pernice [Nucl. Phys. B561, (1999) 357], we have carefully analyzed the half-harmonic oscillator. In contrast to their observations, our analysis…
Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras
Asim Gangopadhyaya, Jeffry V. Mallow, Uday P. Sukhatme
Although eigenspectra of one dimensional shape invariant potentials with unbroken supersymmetry are easily obtained, this procedure is not applicable when the parameters in these p…