ANALYTICAL SOLUTIONS OF ARBITRARY ORDERS TO THE CLASSICAL AND QUANTUM OSCILLATORS WITH VELOCITY-DEPENDENT QUARTIC ANHARMONICITIES
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Publication:5313835
DOI10.1142/S021798490400792XzbMath1158.81328MaRDI QIDQ5313835
Publication date: 1 September 2005
Published in: Modern Physics Letters B (Search for Journal in Brave)
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
Cites Work
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- A convergent renormalized strong coupling perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator
- An intuitive approach to the higher-order solutions for classical and quantum oscillators of quartic anharmonicity
- A simplified approach to the closed form approximate analytical solutions for classical and quantum oscillators of \((n+1)\)th anharmonicity
- Multiple-Scale Analysis of the Quantum Anharmonic Oscillator
- Time dependence of operators in anharmonic quantum oscillators: Explicit perturbative analysis
- Classical and quantum oscillators of quartic anharmonicities: second-order solution
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