36 citations · 82 across the 23 of their papers we have counts for
23 papers
On exact solutions, conservation laws and invariant analysis of the generalized Rosenau-Hyman equation
Pinki Kumari, R. K. Gupta, Sachin Kumar
In this paper, the nonlinear Rosenau-Hyman equation with time dependent variable coefficients is considered for investigating its invariant properties, exact solutions and conserva…
Low reflection at zero or low-energies in the well-barrier scattering potentials
Zafar Ahmed, Sachin Kumar, Dhruv Sharma
Probability of reflection off a finite attractive scattering potential at zero or low energies is ordinarily supposed to be 1. However, a fully attractive potential presents…
An update on coherent scattering from complex non-PT-symmetric Scarf II potential with new analytic forms
Sachin Kumar, Zafar Ahmed
The versatile and exactly solvable Scarf II has been predicting, confirming and demonstrating interesting phenomena in complex PT-symmetric sector, most impressively. However, for…
Expectation value of in continuous two-piece symmetric potential wells
Zafar Ahmed, Sachin Kumar
Earlier, potentials like square well and several other half-potential wells with discontinuous jump have been found to have the expectation value to be divergent for…
Symmetric Fermi-type potential
Zafar Ahmed, Sachin Kumar, Tarit Goswami +1
We utilize the amenability of the Fermi-type potential profile in Schr{ö}dinger equation to construct a symmetric one dimensional well as $V(x){=}{-}U_n/[1+\exp[(|x|{-}a)/b]], ~ U_…
Comment on "Quantization of the damped harmonic oscillator" [Serhan et al, J. Math. Phys. 59, 082105 (2018)]
Zafar Ahmed, Sachin Kumar, Abhijit Baishya
A recent paper [J. Math. Phys. {\bf 59}, 082105 (2018)] constructs a Hamiltonian for the (dissipative) damped harmonic oscillator. We point out that non-Hermiticity of this Hamilto…