On compact perturbation of two-particle Schrödinger operator on a lattice

DOI10.3103/S1066369X15060043zbMath1320.81054OpenAlexW2329061779MaRDI QIDQ2516838

A. M. Khurramov, M. E. Muminov

Publication date: 4 August 2015

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

Full work available at URL: https://doi.org/10.3103/s1066369x15060043

zbMATH Keywords

eigenvaluediscrete spectrumvirtual leveltwo-particle Hamiltonian on a latticevirtual-level multiplicity

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• Unnamed Item
• Spectral properties of a two-particle Hamiltonian on a lattice
• The threshold effects for the two-particle Hamiltonians on lattices
• The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice
• On the finiteness of the discrete spectrum of the three-particle Schrödinger operator
• Finiteness of the discrete spectrum of the three-particle Schrödinger equation on a lattice
• The Efimov effect. Discrete spectrum asymptotics
• Merging of eigenvalues and resonances of a two-particle Schrödinger operator
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR

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