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Quantum oscillator of quartic anharmonicity

1998/07/10 by Swapan Mandal, Swapan K. Mandal
Computer Science · Physics and Astronomy · #Mechanical and Optical Resonators #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics

paper · doi:10.1088/0305-4470/31/27/002

openalex publication_date 1998/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

A Taylor series method is derived to construct an analytical solution for the quantum anharmonic oscillator. The expression presented is found to yield in a rather natural way the corresponding special result obtained by using perturbation theoretic techniques. Attempts are made to give a possible physical interpretation for the various terms originating from nonlinear effects. Numerical results are presented to develop a feeling for their relative importance.

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