Classical and quantum oscillators of quartic anharmonicities: second-order solution

DOI10.1016/S0375-9601(01)00401-7zbMath0969.81523OpenAlexW2019958941MaRDI QIDQ5938066

Anirban Pathak, Swapan Mandal

Publication date: 31 July 2001

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00401-7

zbMATH Keywords

corrspondence principlefrequency shiftsTaylor series method

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)

Related Items (10)

ANALYTICAL SOLUTIONS OF ARBITRARY ORDERS TO THE CLASSICAL AND QUANTUM OSCILLATORS WITH VELOCITY-DEPENDENT QUARTIC ANHARMONICITIES ⋮ Interaction of coherent light with the \((m-1)\)th-order nonlinear medium ⋮ Is there any unique frequency operator for quantum-mechanical anharmonic oscillators ⋮ The approximate solution of a classical quartic anharmonic oscillator with periodic force: a simple analytical approach ⋮ Octic anharmonic oscillators: Perturbed coherent states and the classical limit ⋮ Classical and quantum-mechanical observables by perturbation theory ⋮ A simplified approach to the closed form approximate analytical solutions for classical and quantum oscillators of \((n+1)\)th anharmonicity ⋮ Classical and quantum oscillators of sextic and octic anharmonicities ⋮ A simple algebraic approach to a nonlinear quantum oscillator ⋮ An intuitive approach to the higher-order solutions for classical and quantum oscillators of quartic anharmonicity

Cites Work

• Quantum field theory techniques in graphical enumeration
• 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
• Quantum oscillator of quartic anharmonicity
• Squeezed Light
• Multiple-Scale Analysis of the Quantum Anharmonic Oscillator
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