165 citations · 2k across the 138 of their papers we have counts for
146 papers
Quantum transport and unified scaling law in graphene with polyadic Cantor electrostatic barriers
Sudhanshu Shekhar, Mohammad Umar, Bhabani Prasad Mandal
We study the quantum transport of Dirac electrons in graphene subjected to a polyadic Cantor-structured electrostatic potential. Using the superperiodic potential formalism, we obt…
A Gauge-Covariant Geometric Framework for Non-Hermitian Quantum Systems
Gargi Das, Sudhanshu Shekhar, Bhabani Prasad Mandal
We develop a comprehensive, gauge-covariant geometric framework for non-Hermitian quantum systems in the quasi-Hermitian regime, that is, the region of parameter space where the no…
Perturbative and Non-Perturbative Contributions to Black Hole Thermodynamics with String Clouds and Dark Matter Backgrounds
Kumar Sambhav Upadhyay, Sudhaker Upadhyay, Bhabani Prasad Mandal
We investigate the effects of perturbative and non-perturbative quantum corrections on the thermodynamics of black holes immersed in a perfect fluid dark matter (PFDM) background w…
Two flavor neutrino oscillations in presence of non-Hermitian dynamics
Kritika Rushiya, Gaurav Hajong, Bhabani Prasad Mandal +1
We develop a consistent mathematical framework for studying two flavor neutrino oscillations in presence of non-Hermitian dynamics. We consider two approaches : (a) bi-orthonormal…
Quantum-to-semiclassical Husimi dynamics of non-Hermitian localization transitions
Pallabi Chatterjee, Bhabani Prasad Mandal, Ranjan Modak
The localization transition in the Hermitian Aubry-André model is known to have a clear classical origin, with the critical point being exactly predictable from an analysis of clas…
Lévy-index control of spectral singularities and coherent perfect absorption in non-Hermitian space-fractional quantum mechanics
Vibhav Narayan Singh, Mohammad Umar, Mohammad Hasan +1
We investigate the scattering features of a non-Hermitian rectangular potential within the framework of space-fractional quantum mechanics. Using the Riesz fractional derivative, w…