Threshold effects in a two-fermion system on an optical lattice

DOI10.1134/S0040577920050074zbMath1445.81019OpenAlexW3030076021MaRDI QIDQ2193731

Yanyan Li

Publication date: 20 August 2020

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

Full work available at URL: https://doi.org/10.1134/s0040577920050074

zbMATH Keywords

Hamiltoniandispersion relationdiscrete Schrödinger operatorbound statevirtual levelconditionally negativedefinite functiontwo-fermion system

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) 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) Atomic physics (81V45) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Fermionic systems in quantum theory (81V74)

Related Items (9)

The number and location of eigenvalues for the two-particle Schrödinger operators on lattices ⋮ On perturbation of thresholds in essential spectrum under coexistence of virtual level and spectral singularity ⋮ On the existence of bound states of a system of two fermions on the two-dimensional cubic lattice ⋮ Puiseux series expansion for eigenvalue of the generalized Friedrichs model with the perturbation of rank one ⋮ On the bifurcation of thresholds of the essential spectrum with a spectral singularity ⋮ Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions ⋮ The existence and asymptotics of eigenvalues of Schrödinger operator on two dimensional lattices ⋮ Convergent expansions of eigenvalues of the generalized Friedrichs model with a rank-one perturbation ⋮ Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positivity of eigenvalues of the two-particle Schrödinger operator on a lattice
• The threshold effects for the two-particle Hamiltonians on lattices
• The number of bound states of a one-particle Hamiltonian on a three-dimensional lattice
• On the bound state of Schrödinger operators in one dimension
• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• The Efimov effect. Discrete spectrum asymptotics
• On Efimov's effect in a system of three identical quantum particles
• Schrödinger operators on lattices. The Efimov effect and discrete spectrum asymptotics
• Merging of eigenvalues and resonances of a two-particle Schrödinger operator
• Asymptotics of the discrete spectrum of the three-particle Schrödinger difference operator on a lattice
• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
• Bounds on the discrete spectrum of lattice Schrödinger operators
• The efimov effect of three-body schrödinger operators: Asymptotics for the number of negative eigenvalues

This page was built for publication: Threshold effects in a two-fermion system on an optical lattice