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Title: Quantum-classical correspondence in steady states of nonadiabatic systems

We first present nonadiabatic path integral which is exact formulation of quantum dynamics in nonadiabatic systems. Then, by applying the stationary phase approximations to the nonadiabatic path integral, a semiclassical quantization condition, i.e., quantum-classical correspondence, for steady states of nonadiabatic systems is presented as a nonadiabatic trace formula. The present quantum-classical correspondence indicates that a set of primitive hopping periodic orbits, which are invariant under time evolution in the phase space of the slow degree of freedom, should be quantized. The semiclassical quantization is then applied to a simple nonadiabatic model and accurately reproduces exact quantum energy levels.
Authors:
;  [1] ;  [2]
  1. Department of Chemical System Engineering, School of Engineering, The University of Tokyo, Tokyo 113-8656 (Japan)
  2. (Japan)
Publication Date:
OSTI Identifier:
22499162
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1702; Journal Issue: 1; Conference: ICCMSE 2015: International conference of computational methods in sciences and engineering 2015, Athens (Greece), 20-23 Mar 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DEGREES OF FREEDOM; ENERGY LEVELS; PATH INTEGRALS; PERIODICITY; PHASE SPACE; QUANTIZATION; SEMICLASSICAL APPROXIMATION; STEADY-STATE CONDITIONS