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19972023
most citedConditionally exactly solvable potentials: A supersymmetric construction method

134 citations · 1k across the 55 of their papers we have counts for

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hep-th2020★ 18 cited

Angular momentum quantum backflow in the noncommutative plane

V. D. Paccoia, O. Panella, P. Roy

We study the quantum backflow problem in the noncommutative plane. In particular, we have considered a charged particle with and without an oscillator interaction with noncommuting…

hep-th2018★ 7 cited

Non-Commutativity effects in the Dirac equation in crossed electric and magnetic fields

D. Nath, M. Presilla, O. Panella +1

In this paper we present exact solutions of the Dirac equation on the non-commutative plane in the presence of crossed electric and magnetic fields. In the standard commutative pla…

hep-th2015★ 7 cited

Quantum phase transitions of the Dirac oscillator in the Anti-Snyder model

M. Presilla, O. Panella, P. Roy

We obtain exact solutions of the (2+1) dimensional Dirac oscillator in a homogeneous magnetic field within the Anti-Snyder modified uncertainty relation characterized by a momentum…

hep-th2014★ 32 cited

Quantum phase transitions in the noncommutative Dirac Oscillator

O. Panella, P. Roy

We study the (2+1) dimensional Dirac oscillator in a homogeneous magnetic field in the non-commutative plane. It is shown that the effect of non-commutativity is twofold: ) mome…

hep-th2014★ 4 cited

Pseudo Hermitian interactions in the Dirac Equation

Orlando Panella, Pinaki Roy

We consider dimensional massless Dirac equation in the presence of complex vector potentials. It is shown that such vector potentials (leading to complex magnetic fields) c…

hep-th2011★ 42 cited

"Stringy" Coherent States Inspired By Generalized Uncertainty Principle

Subir Ghosh, Pinaki Roy

In this Letter we have explicitly constructed Generalized Coherent States for the Non-Commutative Harmonic Oscillator that directly satisfy the Generalized Uncertainty Principle (G…