59 citations
4 papers
An Alternative Treatment for Yukawa-Type Potentials
B. Gonul, K. Koksal, E. Bakir
We propose a new approximation scheme to obtain analytic expressions for the bound state energies and eigenfunctions of Yukawa like potentials. The predicted energies are in excell…
Solution of two-mode bosonic Hamiltonians and related physical systems
Ramazan Koc, Hayriye Tutunculer, Mehmet Koca
We have constructed the quasi-exactly-solvable two-mode bosonic realizations of su(2) and su(1, 1) algebra. We derive the relations leading to the conditions for quasi-exact solvab…
Quasi exact solution of the Rabi Hamiltonian
Ramazan Koc, Mehmet Koca, Hayriye Tutunculer
A method is suggested to obtain the quasi exact solution of the Rabi Hamiltonian. It is conceptually simple and can be easily extended to other systems. The analytical expressions…
Realizations of the osp(2,1) Superalgebra and Related Physical Systems
Hayriye Tutunculer, Ramazan Koc
Eigenvalues and eigenfunction of two-boson 2x2 Hamiltonians in the framework of the superalgebra osp(2,1) are determined by presenting a similarity transformation. The Hamiltonians…