The Faddeev Equation and the Essential Spectrum of a Model Operator Associated with the Hamiltonian of a Nonconserved Number of Particles

Zahriddin Muminov, Fudziah Ismail and Jamshid Rasulov

Advances in Mathematical Physics, 2014, vol. 2014, 1-10

Abstract:

A model describing a truncated operator H (truncated with respect to the number of particles) and acting in the direct sum of zero-, one-, and two-particle subspaces of fermionic Fock space over is investigated. The location of the essential spectrum of the model operator H is described by means of the spectrum of the Friedreich model . Moreover, for the resolvent of H , the Faddeev type system of integral equations is obtained.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:943868

DOI: 10.1155/2014/943868

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