5 papers · 1 filter
Solution of the Matrix Hamiltonians via asymptotic iteration method
Ramazan Koc, Okan Ozer, Hayriye Tutunculer
A method is suggested to obtain solutions of the various quantum optical Hamiltonians in the framework of the asymptotic iteration method. We extend the notion of asymptotic iterat…
New exact treatment of the perturbed Coulomb interactions
Okan Ozer, Bulent Gonul
A novel method for the exact solvability of quantum systems is discussed and used to obtain closed analytical expressions in arbitrary dimensions for the exact solutions of the hyd…
Exact solutions of effective-mass Schrodinger equations
Bulent Gonul, Okan Ozer, Besire Gonul +1
We outline a general method for obtaining exact solutions of Schrödinger equations with a position dependent effective mass and compare the results with those obtained within the f…
Supersymmetric approach to exactly solvable systems with position-dependent effective masses
Besire Gonul, Bulent Gonul, Dilek Tutcu +1
We discuss the relationship between exact solvability of the Schrödinger equation with a position-dependent mass and the ordering ambiguity in the Hamiltonian operator within the f…
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…