A simplified approach to the closed form approximate analytical solutions for classical and quantum oscillators of \((n+1)\)th anharmonicity

DOI10.1016/S0375-9601(02)01326-9zbMath1001.70017MaRDI QIDQ1848241

Swapan Mandal

Publication date: 19 November 2002

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

zbMATH Keywords

differential equationsanharmonic oscillatorcorrespondence principleexact functional form

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear vibration theory (70J99)

Related Items (2)

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

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• A convergent renormalized strong coupling perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator
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• The generalized Duffing equation with large damping
• Methods of nonlinear analysis. Vol. 1
• Quantum oscillator of quartic anharmonicity
• Multiple-Scale Analysis of the Quantum Anharmonic Oscillator
• Classical and quantum oscillators of quartic anharmonicities: second-order solution

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