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

R. Koç (), O. Özer (), H. Tütüncüler () and R. G. Yıldırım ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 59, issue 3, 375-383

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 03.65.Ge Solutions of wave equations: bound states; 03.65.Ca Formalism; 73.21.La Quantum dots; 71.70.Ej Spin-orbit coupling; Zeeman and Stark splitting; Jahn-Teller effect (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1140/epjb/e2007-00294-0

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