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quant-ph2004
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…
quant-ph2004
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…
quant-ph2004
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…