On the existence of eigenvalues of the three-particle discrete Schrödinger operator

DOI10.1134/s0001434623110019MaRDI QIDQ6154060

J. Kh. Boymurodov, A. M. Khalkhuzhaev, Janikul I. Abdullaev

Publication date: 19 March 2024

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

latticeeigenvalueHamiltonianSchrödinger operatorinvariant subspacezero-range potentialbosontotal quasimomentumFaddeev operator

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Difference equations (39Axx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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• The existence of bound states in a system of three particles in an optical lattice
• The existence of eigenvalues of Schrödinger operator on three dimensional lattice
• Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

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