On the metric structure of time in classical and quantum mechanics

被引：1
|
作者：
Cattaruzza, E. [1 ]
Gozzi, E. [1 ,2 ]
Mauro, D. [1 ]
机构：
[1] INFN, Sect Trieste, Via Valerio 2, I-34100 Trieste, Italy
[2] Univ Trieste, Phys Dept, Theoret Sect, Str Costiera 11, I-34152 Trieste, Italy
来源：
ANNALS OF PHYSICS | 2019年 / 400卷
关键词：
D O I：
10.1016/j.aop.2018.11.008
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we show that, via an extension of time, some metric structures naturally appear in both classical and quantum mechanics when both are formulated via path integrals. We calculate the various Ricci scalar and curvatures associated to these metrics and prove that they can be chosen to be zero in classical mechanics while this is not possible in quantum mechanics. (C) 2018 Published by Elsevier Inc.
引用
收藏
页码：156 / 188
页数：33
相关论文
共 50 条
12345