Anharmonic oscillator: a playground to get insight into renormalization

DOI10.1088/1361-6404/ac1148zbMath1527.81059arXiv2107.02904MaRDI QIDQ6108094

Saman Moghimi-Araghi, Farhang Loran

Publication date: 29 June 2023

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

Full work available at URL: https://arxiv.org/abs/2107.02904

zbMATH Keywords

perturbationanharmonic oscillatorcounter-term

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbation theories for operators and differential equations in quantum theory (81Q15) Renormalization group methods applied to problems in quantum field theory (81T17)

Cites Work

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• Improved Lindstedt–Poincaré method for the solution of nonlinear problems
• Harmonic and anharmonic behaviour of a simple oscillator
• A new perturbative approach to nonlinear problems
• Finite-Temperature Field Theory
• Multiple Time Scale Numerical Methods for the Inverted Pendulum Problem
• Improving series convergence: the simple pendulum and beyond
• Comment on ‘Improving series convergence: the simple pendulum and beyond’

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