Spectral properties of a two-particle Hamiltonian on a lattice

DOI10.1007/s11232-013-0127-9zbMath1298.81087OpenAlexW2036818133MaRDI QIDQ461574

A. M. Khurramov, M. E. Muminov

Publication date: 13 October 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-013-0127-9

zbMATH Keywords

eigenvaluepositive operatorvirtual leveltwo-particle Hamiltonian on a latticevirtual-level multiplicity

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) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

On the number of eigenvalues of the lattice model operator in one-dimensional case ⋮ Multiplicity of virtual levels at the lower edge of the continuous spectrum of a two-particle Hamiltonian on a lattice ⋮ On compact perturbation of two-particle Schrödinger operator on a lattice ⋮ Discrete spectrum of a noncompact perturbation of a three-particle Schrödinger operator on a lattice

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