New perturbation theory for the nonstationary anharmonic oscillator

DOI10.1088/0305-4470/30/21/015zbMath0938.81010arXivquant-ph/9712057OpenAlexW3106293478MaRDI QIDQ4255618

A. S. Gevorkyan, A. V. Bogdanov

Publication date: 27 June 2000

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9712057

zbMATH Keywords

perturbation theorychaotic behaviourresonance effectsscattering matrix representationnonstationary anharmonic oscillator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Theoretical approximation of solutions to ordinary differential equations (34A45) Inverse scattering problems in quantum theory (81U40) Perturbation theories for operators and differential equations in quantum theory (81Q15)

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