Spectrum of the four-particle Schrödinger operator with paired contact interactions on a lattice

DOI10.1070/RM1998V053N03ABEH000050zbMath0926.47029OpenAlexW2088296493MaRDI QIDQ4232299

Zh. I. Abdullaev, Saidachmat Lakaev

Publication date: 16 November 1999

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1998v053n03abeh000050

zbMATH Keywords

eigenvaluesHamiltonianessential spectrumdiscrete Schrödinger operatorDSOintegral equation of Faddeev-Yakubovskii type

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (2)

On the finiteness of the discrete spectrum of four-particle lattice Schrödinger operators ⋮ Essential Schrödinger operator spectrum of one system of four particles on a lattice

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