19 citations · 46 across the 10 of their papers we have counts for
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Bound states of the s-wave Klein-Gordon equation with equal scalar and vector Standard Eckart Potential
Eser Olgar, Ramazan Koc, Hayriye Tutunculer
A supersymmetric technique for the bound-state solutions of the s-wave Klein--Gordon equation with equal scalar and vector standard Eckart type potential is proposed. Its exact sol…
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…
A New Algebraic Approach to Perturbation Theory
B. Gonul, N. Celik, E. Olgar
An algebraic non-perturbative approach is proposed for the analytical treatment of Schrödinger equations with a potential that can be expressed in terms of an exactly solvable piec…
Solution of a Hamiltonian of quantum dots with Rashba spin-orbit coupling: quasi-exact solution
Hayriye Tutunculer, Ramazan Koc, Eser Olgar
We present a method to solve the problem of Rashba spin-orbit coupling in semiconductor quantum dots, within the context of quasi-exactly solvable spectral problems. We show that t…
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…
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…