5 citations · 6 across the 5 of their papers we have counts for
7 papers · 2 filters
Handedness of complex PT-symmetric potential barriers
Zafar Ahmed
Generally, when imaginary part of an optical potential is non-symmetric the reflectivity, , shows left/right handedness, further if it is not negative-definite the reflection…
A note on Coulomb scattering amplitude
Zafar Ahmed
The summation of the partial wave series for Coulomb scattering amplitude, is avoided because the series is oscillatorily and divergent. Instead, is obtained by s…
Number of quantal resonances
Zafar Ahmed, Sudhir R. Jain
Employing the concept of time-delay, a relation is found which counts the number of quantal resonances supported by a potential. Several simple and advanced illustrations include a…
A practice problem for Schr{ö}dinger transmission
Zafar Ahmed
We present the case of quantal transmission through a smooth, single-piece exponential potential, , in contrast to the piece-wise continuous potentials, as a ped…
Pseudo-reality and pseudo-adjointness of Hamiltonians
Zafar Ahmed
We define pseudo-reality and pseudo-adjointness of a Hamiltonian, , as and , respectively. We prove that the former yields the {\it necess…
P,T,PT, and CPT invariance of Hermitian Hamiltonians
Zafar Ahmed
Currently, it has been claimed that certain Hermitian Hamiltonians have parity (P) and they are PT-invariant. We propose generalized definitions of time-reversal operator (T) and o…