Bounds on Schrödinger eigenvalues for polynomial potentials in N dimensions

DOI10.1063/1.531925zbMath0893.34080OpenAlexW2084758614MaRDI QIDQ4379241

Nasser Saad, Richard L. Hall

Publication date: 25 February 1998

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

Full work available at URL: https://doi.org/10.1063/1.531925

zbMATH Keywords

Schrödinger operatorbounds for eigenvalues

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

Wigner function of a quantum system with polynomial potential ⋮ On some polynomial potentials in d-dimensions ⋮ A method for computing lowest eigenvalues of symmetric polynomial differential operators by semidefinite programming ⋮ Self-similar perturbation theory

Cites Work

• Envelope theory in spectral geometry

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