5 citations · 5 across the 1 of their papers we have counts for
6 papers
A search on Dirac equation
M Kocak, B Gonul
The solutions, in terms of orthogonal polynomials, of Dirac equation with analytically solvable potentials are investigated within a novel formalism by transforming the relativisti…
Explicit Solutions for N-Dimensional Schrodinger Equations with Position-Dependent Mass
B. Gonul, M. Kocak
With the consideration of spherical symmetry for the potential and mass function, one-dimensional solutions of non-relativistic Schrodinger equations with spatially varying effecti…
An Approach To Potential Scattering
B. Gonul, M. Kocak
Recently developed time-independent bound-state perturbation theory is extended to treat the scattering domain. The changes in the partial wave phase shifts are derived explicitly…
Systematic Search of Exactly Solvable Non-Central Potentials
Bulent Gonul, Mehmet Kocak
Recently developed supersymmetric perturbation theory has been successfully employed to make a complete mathematical analysis the reason behind exact solvability of some non-centra…
Mapping of non-central potentials under point canonical transformations
Mehmet Kocak, Ilker Zorba, Bulent Gonul
Motivated by the observation that all known exactly solvable shape invariant central potentials are inter-related via point canonical transformations, we develop an algebraic frame…
Unified treatment of screening Coulomb and anharmonic oscillator potentials in arbitrary dimensions
Bulent Gonul, Okan Ozer, Mehmet Kocak
A mapping is obtained relating radial screened Coulomb systems with low screening parameters to radial anharmonic oscillators in N-dimensional space. Using the formalism of supersy…