127 citations · 375 across the 44 of their papers we have counts for
8 papers · 1 filter
Dirac sextic oscillator in the constant magnetic field
Ramazan Koc, Mehmet Koca
We introduce a Dirac equation which reproduces the usual radial sextic oscillator potential in the non-relativistic limit. We determine its energy spectrum in the presence of the m…
Scattering in abrupt heterostructures using a position dependent mass Hamiltonian
Ramazan Koc, Mehmet Koca, Gultekin Sahinoglu
Transmission probabilities of the scattering problem with a position dependent mass are studied. After sketching the basis of the theory, within the context of the Schrödinger equa…
Algebraic treatments of the problems of the spin-1/2 particles in the one and two-dimensional geometry: a systematic study
Ramazan Koc, Hayriye Tutunculer, Mehmet Koca +1
We consider solutions of the 2x2 matrix Hamiltonians of the physical systems within the context of the su(2) and su(1,1) Lie algebra. Our technique is relatively simple when compar…
Spectrum of the Relativistic Particles in Various Potentials
Ramazan Koc, Mehmet Koca
We extend the notion of Dirac oscillator in two dimensions, to construct a set of potentials. These potentials becomes exactly and quasi-exactly solvable potentials of non-relativi…
Quasi-exact-solution of the Generalized Exe Jahn-Teller Hamiltonian
Ramazan Koc, Hayriye Tutunculer, Mehmet Koca +1
We consider the solution of a generalized Exe Jahn-Teller Hamiltonian in the context of quasi-exactly solvable spectral problems. This Hamiltonian is expressed in terms of the gene…
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…