Birman–Schwinger bounds for the Laplacian with point interactions

DOI10.1063/1.524301zbMath0423.35068OpenAlexW2139688222MaRDI QIDQ3857204

Lawrence E. Thomas

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524301

zbMATH Keywords

Schrödinger operatorbounds on eigenvaluesBirman-Schwinger boundsthermodynamic stability of a quantum statistical model

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)

Related Items

On nonlocal point interactions in one, two, and three dimensions, Unnamed Item, Linear Operators and Operator Functions Associated with Spectral Boundary Value Problems, Finite total cross-sections in nonrelativistic quantum mechanics, Quadratic forms for singular perturbations of the Laplacian, Unnamed Item, Transition matrix of point interactions as the scaling limit of integrable potentials on the real line

Cites Work

• The spectrum of singular boundary problems