Perturbation theory for sextic doubly anharmonic oscillator

2006/11/06 by I. V. Dobrovolska, Dobrovolska, I. V., R. S. Tutik +1
Computer Science · #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.quant-ph/0611064

openalex publication_date 2006/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A simple method for the calculation of higher orders of the logarithmic perturbation theory for bound states of the spherical anharmonic oscillator is developed. The structure of the perturbation series for energy eigenvalues of the sextic doubly anharmonic oscillator is investigated. The recursion technique for deriving renormalized perturbation expansions is offered.

Related

• A new approach to the logarithmic perturbation theory for the spherical anharmonic oscillator
• The logarithmic perturbation theory for bound states in spherical-symmetric potentials via the ℏ-expansions
• A new strategy to find bound states in anharmonic oscillators
• Anharmonic oscillators and the null bootstrap
• The Hypervirial-Padé Summation Method Applied to the Anharmonic Oscillator