On finiteness of discrete spectrum of three-particle Schrödinger operator on a lattice

DOI10.3103/S1066369X16010035zbMATH Open1336.81036OpenAlexW2343707356MaRDI QIDQ268935

Yo. M. Shermatova, M. Eh. Muminov

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.3103/s1066369x16010035

zbMATH Keywords

Schrödinger operatoressential spectrumdiscrete spectrumthree-particle system on a latticeVineberg's equationvirtual level

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) Gravitational interaction in quantum theory (81V17) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• Title not available (Why is that?)
• Positivity of the two-particle Hamiltonian on a lattice
• Finiteness of the discrete spectrum of the Schrödinger operator of three particles on a lattice
• The Efimov effect of three-body Schrödinger operators
• Finiteness of the discrete spectrum of the three-particle Schrödinger equation on a lattice
• Finiteness of the discrete spectrum of the Hamiltonian of a system of three arbitrary particles on a lattice
• On the number of eigenvalues of a model operator related to a system of three particles on lattices
• The spectrum of the Hamiltonian of a system of three quantum particles on a lattice
• On the structure of the essential spectrum for the three-particle Schrödinger operators on lattices
• Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

Related Items (3)

On the discrete spectrum of the three particle Schrödinger operator on a lattice interacting by two and three particle potentials ⋮ Finiteness of the discrete spectrum of the Schrödinger operator of three particles on a lattice ⋮ Conditions for the finiteness of the discrete spectrum of the Hamiltonian of a system of three arbitrary particles on a lattice

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