13 citations · 18 across the 2 of their papers we have counts for
6 papers
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…
Conservation laws and energy transformations in a class of common physics problems
Jonathan Bougie, Asim Gangopadhyaya
We analyze a category of problems that is of interest in many physical situations, including those encountered in introductory physics classes: systems with two well-delineated par…
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…
A First-Year Research Experience: The Freshman Project in Physics at Loyola University Chicago
Jonathan Bougie, Asim Gangopadhyaya, Sherita Moses +3
Undergraduate research has become an essential mode of engaging and retaining students in physics. At Loyola University Chicago, first-year physics students have been participating…
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…