133 citations · 574 across the 37 of their papers we have counts for
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Recent Advances in Semiclassical Methods Inspired by Supersymmetric Quantum Mechanics
Asim Gangopadhyaya, Jonathan Bougie, Constantin Rasinariu
Semiclassical methods are essential in analyzing quantum mechanical systems. Although they generally produce approximate results, relatively rare potentials exist for which these m…
Generalized Langer Correction and the Exactness of WKB for all Conventional Potentials
Asim Gangopadhyaya, Jonathan Bougie, Constantin Rasinariu
In this paper we investigate the exactness of the WKB quantization condition for translationally shape invariant systems. In particular, using the formalism of supersymmetric quant…
Quantum Hamilton-Jacobi Quantization and Shape Invariance
Rathi Dasgupta, Asim Gangopadhyaya
Quantum Hamilton-Jacobi quantization scheme uses the singularity structure of the potential of a quantum mechanical system to generate its eigenspectrum and eigenfunctions, and its…
Exactness of Semiclassical Quantization Rule for Broken Supersymmetry
Asim Gangopadhyaya, Jonathan Bougie, Constantin Rasinariu
Semiclassical methods provide important tools for approximating solutions in quantum mechanics. In several cases these methods are intriguingly exact rather than approximate, as ha…
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…
The Supersymmetric WKB Formalism is Not Exact for All Additive Shape Invariant Potentials
Jonathan Bougie, Asim Gangopadhyaya, Constantin Rasinariu
Following the verification of the conjecture made by Comtet, Bandrauk and Campbell that the supersymmetry-inspired semiclassical method known as SWKB is exact for the conventional…
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…
Sharp and Infinite Boundaries in the Path Integral Formalism
Phillip Dluhy, Asim Gangopadhyaya
We revisit the analysis of sharp infinite potentials within the path integral formalism using the image method [1]. We show that the use of a complete set of energy eigenstates tha…
Shape Invariance and Its Connection to Potential Algebra
Asim Gangopadhyaya, Jeffry V. Mallow, Uday P. Sukhatme
Exactly solvable potentials of nonrelativistic quantum mechanics are known to be shape invariant. For these potentials, eigenvalues and eigenvectors can be derived using well known…