Existence of bound states of N-body problem in an optical lattice

DOI10.1088/1751-8121/aac534zbMath1396.81081arXiv1408.4280OpenAlexW2963242555MaRDI QIDQ4686773

Shokhrukh Yusufovich Kholmatov, Zahriddin I. Muminov

Publication date: 4 October 2018

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

Full work available at URL: https://arxiv.org/abs/1408.4280

zbMATH Keywords

Schrödinger operatoressential spectrumbound statesHVZ theoremcluster operatorsshort-range pair potentialsdispersion functions

Mathematics Subject Classification ID

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) (n)-body problems (70F10) Ion traps (78A37)

Related Items (3)

Asymtotic of the discrete spectrum of the three-particle Schrödinger operator on a one-dimensional lattice ⋮ The essential spectrum of a three particle Schrödinger operator on lattices ⋮ On the essential spectrum of three-particle discrete Schrödinger operators with short-range potentials

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