Classical and quantum oscillators of sextic and octic anharmonicities

DOI10.1016/S0375-9601(02)00500-5zbMath0995.70020arXivquant-ph/0206011OpenAlexW3104833924MaRDI QIDQ1600288

Swapan Mandal, Anirban Pathak

Publication date: 12 June 2002

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0206011

zbMATH Keywords

Taylor seriescommutation relationsfrequency shiftsquantum anharmonic oscillatoroctic anharmonicitysextic anharmonicity

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)

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Cites Work

• A convergent renormalized strong coupling perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator
• Methods of nonlinear analysis. Vol. 1
• Frequency operator for anharmonic oscillators
• Quantum oscillator of quartic anharmonicity
• Multiple-Scale Analysis of the Quantum Anharmonic Oscillator
• On the Connections between the Non‐linearity of Equations of Motion in Quantum Theory, Asymptotic Behavior and Renormalization
• Periodic Solutions of a Nonlinear Differential Equation
• Classical and quantum oscillators of quartic anharmonicities: second-order solution
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