5 citations · 6 across the 9 of their papers we have counts for
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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…