Perturbation of a lattice spectral band by a nearby resonance

DOI10.1063/1.1371264zbMath1015.81061arXivcond-mat/9909414OpenAlexW2023387532MaRDI QIDQ2774911

V. B. Belyaev, W. Sandhas, Alexander K. Motovilov

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9909414

zbMATH Keywords

enhancement of fusion probabilitymolecular bandmolecular cellsnear-threshold nuclear resonance

Mathematics Subject Classification ID

Molecular physics (81V55)

Related Items (5)

Existence and analyticity of eigenvalues of a two-channel molecular resonance model ⋮ The number and location of eigenvalues for the two-particle Schrödinger operators on lattices ⋮ Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions ⋮ An eigenvalue multiplicity formula for the Schur complement of a \(3\times3\) block operator matrix ⋮ Threshold phenomena in the spectrum of the two-particle Schrödinger operator on a lattice

Cites Work

• Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians
• The Livsic matrix in perturbation theory
• Band edge behavior of the integrated density of states of random Jacobi matrices in dimension 1
• Perturbation of an embedded eigenvalue by a nearby resonance
• Commutation methods for Jacobi operators
• Embedded eigenvalues and resonances of a generalized Friedrichs model
• Resonances, metastable states and exponential decay laws in perturbation theory
• The theory of extensions and explicitly-soluble models
• Operator Interpretation of Resonances Arising in Spectral Problems for 2 × 2 Operator Matrices
• Representations for the Three‐Body T‐Matrix, Scattering Matrices and Resolvent in Unphysical Energy Sheets
• On the perturbation of continuous spectra

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