The Faddeev equation and essential spectrum of a Hamiltonian in Fock space

Authors

  • M. I. Muminov Samarkand State University, Department of Physics and Mathematics, 15 University Boulevard, Samarkand, 140104, Uzbekistan
  • T. H. Rasulov Bukhara State University, Faculty of Physics and Mathematics, Department of Algebra and Analysis, 11 M. Ikbol, Bukhara, 200100, Uzbekistan 

DOI:

Keywords:

Abstract

A Hamiltonian (model operator) $H$ associated to a quantum system describing three particles in interaction, without conservation of the number of particles, is considered. The Faddeev type system of equations for eigenvectors of $H$ is constructed. The essential spectrum of $H$ is described by the spectrum of the channel operator.

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Published

2011-03-25

Issue

Vol. 17 No. 1 (2011)

Section

Articles

How to Cite

Muminov, M. I., and T. H. Rasulov. “The Faddeev Equation and Essential Spectrum of a Hamiltonian in Fock Space”. Methods of Functional Analysis and Topology, vol. 17, no. 1, Mar. 2011, pp. 47-57, https://zen.imath.kiev.ua/index.php/mfat/article/view/469.