5 papers
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…
Spectra of Interacting Electrons in a Quantum Dot: Quasi-Exact Solution
Ramazan Koc, Hayriye Tutunculer, Eser Olgar
We present a procedure to solve the Schroedinger equation of two interacting electrons in a quantum dot in the presence of an external magnetic field within the context of quasi-ex…
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…
Exactly and Quasi-Exactly Solvable two-mode Bosonic Hamiltonians
Ramazan Koc, Hayriye Tutunculer, Eser Olgar
We develop a method to determine the eigenvalues and eigenfunctions of two-boson Hamiltonians include a wide class of quantum optical models. The quantum Hamiltonians have been tra…
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…