Upper and lower limits on the number of bound states in a central potential

DOI10.1088/0305-4470/36/48/008zbMath1049.81021arXivmath-ph/0401020OpenAlexW3098960452MaRDI QIDQ4463656

Francesco Calogero, Fabian Brau

Publication date: 27 May 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0401020

zbMATH Keywords

Klein-Gordon equationSchrödinger equationcentral potentialnumber of bound states for higher angular momentum

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Lower limit in semiclassical form for the number of bound states in a central potential ⋮ On the decrease of the number of bound states with the increase of the angular momentum ⋮ Local approximation to the critical parameters of quantum wells ⋮ The auxiliary field method in quantum mechanics ⋮ SEMIRELATIVISTIC HAMILTONIANS AND THE AUXILIARY FIELD METHOD

This page was built for publication: Upper and lower limits on the number of bound states in a central potential