A strongly perturbed quantum system is a semiclassical system

Abstract

We show that a strongly perturbed quantum system, being a semiclassical system characterized by the Wigner-Kirkwood expansion for the propagator, has the same expansion for the eigenvalues as for the WKB series. The perturbation series is rederived by the duality principle in perturbation theory.

4 pages, no figures. Accepted for publication in Proceedings of the Royal Society A

References in corpus (6)

• Variational perturbation expansion for strong-coupling coefficients of the anharmonic oscillator
• The Quantum Adiabatic Approximation and the Geometric Phase
• Duality in Perturbation Theory and the Quantum Adiabatic Approximation
• Strongly coupled quantum field theory
• A modern review of the two-level approximation
• 1/N-expansion for the Dicke model and the decoherence program

Cited by in corpus (10)

• Infrared Gluon and Ghost Propagators
• Entanglement Accessibility Measures for the Quantum Internet
• Green functions and nonlinear systems: Short time expansion
• Inversion of Strong Field Photoelectron Spectra for Molecular Orbital Imaging
• Yang-Mills Propagators and QCD
• $\Psi$ - model of micro- and macrosystems
• Laser-Induced Electron Diffraction: Inversion of Photoelectron Spectra for Molecular Orbital Imaging
• Spectrum in the broken phase of a $\lambda {\varphi }^4$ theory
• Perfect Wave Transfer in Continuous Quantum Systems
• Localization in a strongly disordered system: A perturbation approach