Classical and quantum-mechanical observables by perturbation theory

DOI10.1016/S0375-9601(03)00686-8zbMath1037.81056MaRDI QIDQ1810355

Francisco M. Fernández

Publication date: 3 June 2003

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

zbMATH Keywords

quantizationdynamical variablesinitial coordinates

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Geometry and quantization, symplectic methods (81S10)

Uses Software

• Maple

Cites Work

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• An intuitive approach to the higher-order solutions for classical and quantum oscillators of quartic anharmonicity
• Frequency operator for anharmonic oscillators
• Perturbation theory free from secular terms for the equations of motion of anharmonic oscillators
• Quantum oscillator of quartic anharmonicity
• Multiple-Scale Analysis of the Quantum Anharmonic Oscillator
• Time dependence of operators in anharmonic quantum oscillators: Explicit perturbative analysis
• The general structure of eigenvalues in nonlinear oscillators
• On the Connections between the Non‐linearity of Equations of Motion in Quantum Theory, Asymptotic Behavior and Renormalization
• Classical and quantum oscillators of quartic anharmonicities: second-order solution

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