Ground state energy bounds for potentials ‖x‖ν

DOI10.1063/1.525207zbMath0483.35061OpenAlexW2005710292MaRDI QIDQ3941778

Mary Hall Reno, Richard E. Crandall

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525207

zbMATH Keywords

monotonicity propertiesnumerical boundsnonlinear first-order formSchrödinger ground state eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials, Weighted \(p\)-Laplacian problems on a half-line

Cites Work

• Ground State of Two-Electron Atoms
• Exact eigenvalues of the Hamiltonian P²+A mod X mod^nu
• On the Connection Formulas and the Solutions of the Wave Equation