5 citations · 6 across the 9 of their papers we have counts for
9 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…
Tunneling time in non-Hermitian space fractional quantum mechanics
Mohammad Umar, Vibhav Narayan Singh, Bhabani Prasad Mandal
We investigate the tunneling time of a wave packet propagating through a non-Hermitian potential in space-fractional quantum mechanics. By applying the stationary…
Transmission through Cantor structured Dirac comb potential
Mohammad Umar
In this study, we introduce the Cantor-structured Dirac comb potential, referred to as the Cantor Dirac comb (CDC-) potential system, and investigate non-relativistic quantu…
Polyadic Cantor potential of minimum lacunarity: Special case of super periodic generalized unified Cantor potential
Mohammad Umar, Mohammad Hasan, Vibhav Narayan Singh +1
To bridge the fractal and non-fractal potentials we introduce the concept of generalized unified Cantor potential (GUCP) with the key parameter which represents the potential c…
Quantum tunneling from a new type of generalized Smith-Volterra-Cantor potential
Vibhav Narayan Singh, Mohammad Hasan, Mohammad Umar +1
In this paper, we introduce and analyze the Smith-Volterra-Cantor potential of power \( n \), denoted as SVC\(\left(ρ, n\right)\). Bridging the gap between the general Cantor and S…
Quantum tunneling from a new type of Unified Cantor Potential
Mohammad Umar, Vibhav Narayan Singh, Mohammad Hasan +1
We introduce a new type of potential system that combines the families of general Cantor (fractal system) and general Smith-Volterra-Cantor (non-fractal system) potentials. We call…
Tunneling from general Smith-Volterra-Cantor potential
Vibhav Narayan Singh, Mohammad Umar, Mohammad Hasan +1
We study the tunneling problem from general Smith-Volterra-Cantor (SVC) potential of finite length characterized by the scaling parameter and stage . We show that the SV…
Quantum tunneling from family of Cantor potentials in fractional quantum mechanics
Vibhav Narayan Singh, Mohammad Umar, Mohammad Hasan +1
We explore the features of non-relativistic quantum tunneling in space fractional quantum mechanics through a family of Cantor potentials. We consider two types of potentials: gene…
Locally finite free space as limiting case of PT-symmetric medium
Mohammad Hasan, Mohammad Umar, Bhabani Prasad Mandal
We explicitly prove that the transfer matrix of a finite layered -symmetric system of fix length consisting of units of the potential system `' and `' of equa…