English

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

Quantum Physics 2009-11-13 v2

Abstract

We consider solutions of the 2×22\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.

Keywords

Cite

@article{arxiv.0711.4271,
  title  = {Solution of spin-boson systems in one and two-dimensional geometry via the asymptotic iteration method},
  author = {R. Koc and O. Ozer and H. Tutunculer and R. G. Yildirim},
  journal= {arXiv preprint arXiv:0711.4271},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T09:47:46.343Z