On the finiteness of the discrete spectrum of four-particle lattice Schrödinger operators

DOI10.1016/S0034-4877(03)80003-4zbMath1042.81015arXivmath-ph/0501036OpenAlexW2076328568MaRDI QIDQ1424096

Janikul I. Abdullaev, Saidachmat Lakaev, Sergio A. Albeverio

Publication date: 8 March 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0501036

zbMATH Keywords

Fredholm equationsbranch of the essential spectrum

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (n)-body problems (70F10)

Related Items (3)

Spectral properties of a Hamiltonian of a four-particle system on a lattice ⋮ Essential and discrete spectra of the three-particle Schrödinger operator on a lattice ⋮ Existence of bound states of N-body problem in an optical lattice

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Efimov effect of three-body Schrödinger operators
• Finiteness of the discrete spectrum of the three-particle Schrödinger equation on a lattice
• Quantum symmetry and braid group statistics in \(G\)-spin models
• On Efimov's effect in a system of three identical quantum particles
• Essential Schrödinger operator spectrum of one system of four particles on a lattice
• Finiteness of the number of discrete eigenvalues of the Schrödinger operator for a three particle system
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
• Spectrum of the four-particle Schrödinger operator with paired contact interactions on a lattice
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians

This page was built for publication: On the finiteness of the discrete spectrum of four-particle lattice Schrödinger operators