An intuitive approach to the higher-order solutions for classical and quantum oscillators of quartic anharmonicity

DOI10.1016/S0375-9601(02)00687-4zbMath0996.70020MaRDI QIDQ1605515

Swapan Mandal

Publication date: 17 July 2002

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

perturbation theoryfunctional formtime-dependent parameters

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (7)

On the squeezing of coherent light coupled to a driven damped harmonic oscillator with time dependent mass and frequency ⋮ ANALYTICAL SOLUTIONS OF ARBITRARY ORDERS TO THE CLASSICAL AND QUANTUM OSCILLATORS WITH VELOCITY-DEPENDENT QUARTIC ANHARMONICITIES ⋮ The approximate solution of a classical quartic anharmonic oscillator with periodic force: a simple analytical approach ⋮ Octic anharmonic oscillators: Perturbed coherent states and the classical limit ⋮ Classical and quantum-mechanical observables by perturbation theory ⋮ A simplified approach to the closed form approximate analytical solutions for classical and quantum oscillators of \((n+1)\)th anharmonicity ⋮ A simple algebraic approach to a nonlinear quantum oscillator

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