Invariant subspaces and eigenvalues of the three-particle discrete Schrödinger operators

DOI10.3103/s1066369x23090013MaRDI QIDQ6117473

Janikul I. Abdullaev, A. M. Khalkhuzhaev, Tulkin H. Rasulov

Publication date: 19 February 2024

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

latticeeigenvalueHamiltonianSchrödinger operatorinvariant subspacebosonquasimomentumcontact potentialFaddeev operator

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Elliptic equations and elliptic systems (35Jxx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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• A system of three quantum particles with point-like interactions
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• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
• 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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