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, issue 1

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 FaL2T3 over L2(T3) is investigated. The location of the essential spectrum of the model operator H is described by means of the spectrum of the Friedreich model h(p); p∈ T3. Moreover, for the resolvent of H, the Faddeev type system of integral equations is obtained.

Date: 2014
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https://doi.org/10.1155/2014/943868

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:943868

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