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

共 22 条

[1]

ABRAHAM R., 1978, Foundations of Mechanics

[2]

Ali T.S., 1999, COHERENT STATES WAVE

[3]

[Anonymous], 2012, The principles of quantum mechanics

[4]

[Anonymous], 2004, From Classical to Quantum Mechanics

[5]

[Anonymous], 2016, INFORM GEOMETRY ITS

[6]

Ashtekar A., 1999, On Einstein's Path: Essays in Honor of Engelbert Schucking, P23

[7]

Cariena J.F., 2016, Geometry of Jets and Fields, VVolume 110, P41

[8] Geometrization of quantum mechanics [J].

Carinena, J. F. ;

Clemente-Gallardo, J. ;

Marmo, G. .

THEORETICAL AND MATHEMATICAL PHYSICS, 2007, 152 (01) :894-903

[9]

Carinena J. F., 2015, Geometry from Dynamics: Classical and Quantum

[10] Geometric Hamilton-Jacobi theory [J].

Carinena, Jose F. ;

Gracia, Xavier ;

Marmo, Giuseppe ;

Martinez, Eduardo ;

Munoz-Lecanda, Miguel C. ;

Roman-Roy, Narciso .

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2006, 3 (07) :1417-1458

← 1 2 3 →