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