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Is there any unique frequency operator for quantum-mechanical anharmonic oscillators

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Publication:927023
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DOI10.1016/J.PHYSLETA.2005.01.097zbMath1171.81391OpenAlexW2077343860MaRDI QIDQ927023

Francisco M. Fernández, Anirban Pathak

Publication date: 21 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.01.097



Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99)


Related Items (1)

Octic anharmonic oscillators: Perturbed coherent states and the classical limit




Cites Work

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  • Frequency operator for 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
  • Frequency operator for anharmonic oscillators by perturbation theory
  • 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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