A simple algebraic approach to a nonlinear quantum oscillator

DOI10.1016/S0375-9601(03)00075-6zbMath1010.81034MaRDI QIDQ1860854

Adelio R. Matamala, Carlos R. Maldonado

Publication date: 4 March 2003

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

zbMATH Keywords

energy eigenvaluesladder operatorslinear canonical transfromation

Mathematics Subject Classification ID

Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (1)

Octic anharmonic oscillators: Perturbed coherent states and the classical limit

Cites Work

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• An intuitive approach to the higher-order solutions for classical and quantum oscillators of quartic anharmonicity
• Energy spectrum of the potential V=ax²+x⁴
• Quantum oscillator of quartic anharmonicity
• Perturbation theory and the classical limit of quantum mechanics
• Calculation of energy eigenvalues for the quantum anharmonic oscillator with a polynomial potential
• Precise determination of the energy levels of the anharmonic oscillator from the quantization of the angle variable
• Classical and quantum oscillators of quartic anharmonicities: second-order solution

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