112 citations · 602 across the 61 of their papers we have counts for
61 papers
Bound state eigenvalues from transmission coefficients
Zafar Ahmed, Kaushik Bhattacharya
Experts know that bound state energy eigenvalues of a potential well are poles of its transmission amplitude, . The textbooks do well by solving the bound states and scatteri…
Scattering states and bound states of exponential potentials
Zafar Ahmed, H F Jones
We explore the relationships between scattering states and bound states of different non-analytic segments (depending on ) of the exponential potential, and elucidate the stat…
An interesting track for the Brachistochrone
Zafar Ahmed, Amal Nathan Joseph
If a particle has to fall first vertically 1 m from A and then move horizontally 1 m to B, it takes a time s. Under gravity and without friction,…
Families of curves orthogonal to the lines
Zafar Ahmed, Pallavi S. Telkar
The family of lines , are well known to be normal to the parabola . However, this family of lines is normal to a family of curves of which this parabola is jus…
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…