Dynamical aspects in the quantizer-dequantizer formalism

被引：22

作者：

Ciaglia, F. M. ^{[1
,2
]}

Di Cosmo, F. ^{[1
,2
]}

Ibort, A. ^{[3
,4
]}

Marmo, G. ^{[1
,2
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Fis Ettore Pancini, Complesso Univ Monte S Angelo,Via Cintia, I-80126 Naples, Italy

[2] INFN, Sez Napoli, Complesso Univ Monte S Angelo,Via Cintia, I-80126 Naples, Italy

[3] Univ Carlos III Madrid, Dept Matemat, Avda Univ 30, Madrid 28911, Spain

[4] UAM, CSIC UAM UC3M UCM, Inst Ciencias Matemat, ICMAT, Nicolas Cabrera 13-15,Campus Cantoblanco, Madrid 28049, Spain

来源：

ANNALS OF PHYSICS | 2017年 / 385卷

关键词：

Quantum mechanics; Quantum-to-classical transition; Dynamical reduction; QUANTUM-MECHANICS; INTEGRABILITY;

D O I：

10.1016/j.aop.2017.08.025

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The use of the quantizer-dequantizer formalism to describe the evolution of a quantum system is reconsidered. We show that it is possible to embed a manifold in the space of quantum states of a given auxiliary system by means of an appropriate quantizer-dequantizer system. If this manifold of states is invariant with respect to some unitary evolution, the quantizer-dequantizer system provides a classical-like realization of such dynamics, which in general is non linear. Integrability properties are also discussed. Weyl systems and generalized coherent states are used as a simple illustration of these ideas. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：769 / 781

页数：13

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