Mukhiddin I. Muminov, Tulkin H. Rasulov
Published 2010-05-30Version 1
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.
The number of eigenvalues for an Hamiltonian in Fock space
On the Spectrum of a Model Operator in Fock Space
On the spectrum of an Hamiltonian in Fock space. Discrete spectrum Asymptotics
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