Positivity of the two-particle Hamiltonian on a lattice

DOI10.1007/S11232-007-0139-4zbMath1144.81459OpenAlexW2013735703MaRDI QIDQ946412

M. E. Muminov

Publication date: 23 September 2008

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

Full work available at URL: https://doi.org/10.1007/s11232-007-0139-4

zbMATH Keywords

discrete spectrumpositive operatorregular pointvirtual leveltwo-particle Hamiltonian on a lattice

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

On finiteness of discrete spectrum of three-particle Schrödinger operator on a lattice ⋮ On the number of eigenvalues of the lattice model operator in one-dimensional case ⋮ On the eigenvalues of a 2ˣ2 block operator matrix ⋮ Spectral properties of a two-particle Hamiltonian on a lattice ⋮ Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice ⋮ Spectral properties of two particle Hamiltonian on one-dimensional lattice ⋮ Multiplicity of virtual levels at the lower edge of the continuous spectrum of a two-particle Hamiltonian on a lattice

Cites Work

• Unnamed Item
• The threshold effects for the two-particle Hamiltonians on lattices
• The Efimov effect. Discrete spectrum asymptotics
• The spectrum of two-particle bound states for the transfer matrices of Gibbs fields (an isolated bound state)
• The spectrum of two-particle bound states of transfer matrices of Gibbs fields (fields on a two-dimensional lattice: adjacent levels).
• Essential and discrete spectra of the three-particle Schrödinger operator on a lattice

This page was built for publication: Positivity of the two-particle Hamiltonian on a lattice