Geometric dequantization

被引：34
作者：
Abrikosov, AA
Gozzi, E
Mauro, D
机构：
[1] Univ Trieste, Dept Theoret Phys, I-34014 Trieste, Italy
[2] Inst Theoret & Expt Phys, Moscow 117259, Russia
[3] Ist Nazl Fis Nucl, Sez Trieste, Trieste, Italy
来源：
ANNALS OF PHYSICS | 2005年 / 317卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
geometric quantization; time; operatorial formalisms;
D O I：
10.1016/j.aop.2004.12.001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Dequantization is a set of rules which turn quantum mechanics (QM) into classical mechanics (CM). It is not the WKB limit of QM. In this paper we show that, by extending time to a 3-dimensional "supertime," we can dequantize the system in the sense of turning the Feynman path integral version of QM into the functional counterpart of the Koop-man-von Neumann operatorial approach to CM. Somehow this procedure is the inverse of geometric quantization and we present it in three different polarizations: the Schrodinger, the momentum and the coherent states ones. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：24 / 71
页数：48
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