General method for deforming quantum dynamics into classical dynamics while keeping ħ fixed
- 1 July 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 48 (1) , 822-825
- https://doi.org/10.1103/physreva.48.822
Abstract
Using Weinberg’s generalized nonlinear quantum dynamics [Ann. Phys. (N.Y.) 194, 336 (1989)], we propose a simple way to form an interpolative dynamical system that joins the classical and quantum regimes. By altering a dimensionless control parameter λ∈[0,1], one can smoothly metamorphose quantum evolution into classical evolution, keeping the Hilbert-space dimension and physical constants unchanged. The method suggests an approach to studies of dynamical chaos suppression in quantized classically chaotic systems.Keywords
This publication has 18 references indexed in Scilit:
- Classical mechanics as an example of generalized quantum mechanicsPhysical Review D, 1992
- The Transition to ChaosPublished by Springer Nature ,1992
- Chaos in Classical and Quantum MechanicsPublished by Springer Nature ,1990
- Testing quantum mechanicsAnnals of Physics, 1989
- Quantum mechanics of classically non-integrable systemsPhysics Reports, 1988
- Semiclassical theory of spectral rigidityProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1985
- Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting OperatorsPhysical Review D, 1970
- Density Operators and Quasiprobability DistributionsPhysical Review B, 1969
- Ordered Expansions in Boson Amplitude OperatorsPhysical Review B, 1969
- On the Function in Quantum Mechanics Which Corresponds to a Given Function in Classical MechanicsProceedings of the National Academy of Sciences, 1932