Semiclassical spectrum using secular perturbation theory: the quartic oscillator

DOI10.1088/0305-4470/33/1/306zbMath1043.81026OpenAlexW1978233515MaRDI QIDQ4495873

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Publication date: 13 August 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/33/1/306

zbMATH Keywords

perturbation theorysemiclassical spectrumquartic oscillator

Mathematics Subject Classification ID

Quantum chaos (81Q50) Perturbation theories for operators and differential equations in quantum theory (81Q15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

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Analytic calculation of energies and wave functions of the quartic and pure quartic oscillators

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