Eur. Phys. J. B 59, 375-383 (2007)
https://doi.org/10.1140/epjb/e2007-00294-0

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

Department of Engineering Physics, Faculty of Engineering, University of Gaziantep, 27310 Gaziantep, Turkey

Corresponding authors: ^a koc@gantep.edu.tr - ^b ozer@gantep.edu.tr - ^c tutunculer@gantep.edu.tr - ^d ozkan@gantep.edu.tr

Received: 9 November 2006
Revised: 26 June 2007
Published online: 1 November 2007

Abstract

We consider solutions of the 2×2 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.