4 papers · 1 filter
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…
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…
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…