The infiniteness of the number of eigenvalues in the gap in the essential spectrum for the three-particle Schrödinger operator on a lattice

DOI10.1007/S11232-009-0054-YzbMATH Open1173.81007OpenAlexW2054789043MaRDI QIDQ735674

M. E. Muminov

Publication date: 23 October 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-009-0054-y

zbMATH Keywords

Schrödinger operatorcompact operatoressential spectrumdiscrete spectrumthree-particle system on a lattice

Mathematics Subject Classification ID

Three-body problems (70F07) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• The Efimov effect of three-body Schrödinger operators
• The Efimov effect. Discrete spectrum asymptotics
• The spectrum of the three-particle difference Schrödinger operator on a lattice
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
• Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

Related Items (10)

Spectrum of the three-particle Schrödinger operator on a one-dimensional lattice ⋮ Asymtotic of the discrete spectrum of the three-particle Schrödinger operator on a one-dimensional lattice ⋮ On the spectrum of the three-particle Hamiltonian on a unidimensional lattice ⋮ Boundary-value problems for the evolutionary Schrödinger equation. I ⋮ Spectral properties of a two-particle Hamiltonian on a lattice ⋮ Formula for the number of eigenvalues of a three-particle Schrödinger operator on a lattice ⋮ Existence of bound states of N-body problem in an optical lattice ⋮ On the existence of an eigenvalue of the generalized Friedrichs model ⋮ Spectral attributes of self-adjoint Fredholm operators in Hilbert space: a rudimentary insight ⋮ Discrete spectrum of a noncompact perturbation of a three-particle Schrödinger operator on a lattice

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