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20202026
most citedQuantum tunneling from a new type of generalized Smith-Volterra-Cantor potential

1 citations · 1 across the 4 of their papers we have counts for

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5 papers

quant-ph2026

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…

quant-ph2025

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…

quant-ph2024

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…

quant-ph2023★ 1 cited

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…

quant-ph2020

Role of -symmetry in understanding Hartman effect

Mohammad Hasan, Vibhav Narayan Singh, Bhabani Prasad Mandal

The celebrated Hartman effect, according to which, the tunneling time through a opaque barrier is independent of the width of the barrier for a sufficiently thick barrier, is not w…