Approximation of Schrödinger eigenvalues and eigenfunctions by canonical perturbation theory: The periodically driven quantum rotator

DOI10.1063/1.528541zbMath0693.46067OpenAlexW2007793598MaRDI QIDQ3468169

Franco Maria Nardini

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528541

zbMATH Keywords

perturbation theorynonresonant casefirst-order approximate formula for eigenvalues and eigenfunctions of the Schrödinger operator of the periodically driven quantum rotator

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Miscellaneous applications of functional analysis (46N99)

Related Items (2)

Simple eigenvectors of unbounded operators of the type "normal plus compact" ⋮ Semiclassical estimates for Weyl quantisation

Cites Work

• Resonances for the AC-Stark effect
• The Schrödinger equation and canonical perturbation theory

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