Solution of spin-boson systems in one and two-dimensional geometry via the asymptotic iteration method

Details Solution of spin-boson systems in one and two-dimensional geometry via the asymptotic iteration method Solution of spin-boson systems in one and two-dimensional geometry via the asymptotic iteration method

2007-11-27

arxiv.org/abs/0711.4271v2

Eur. Phys. J. B 59, 375-383 (2007)

Physics

Quantum Physics

13 pages, 5 figures. Please check "http://www1.gantep.edu.tr/~ozer/" for other studies of Nuclear Physics Group at University

Scientific paper

10.1140/epjb/e2007-00294-0

We consider solutions of the $2\times 2$ matrix Hamiltonian of physical systems within the context of the asymptotic iteration method. Our technique is based on transformation of the associated Hamiltonian in the form of the first order coupled differential equations. We construct a general matrix Hamiltonian which includes a wide class of physical models. The systematic study presented here reproduces a number of earlier results in a natural way as well as leading to new findings. Possible generalizations of the method are also suggested.

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