Quantization from an exponential distribution of infinitesimal action

被引：8

作者：

Budiyono, Agung

机构：

[1] Pati, 59185 Jawa Tengah

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2013年 / 392卷 / 02期

关键词：

Quantization method; Statistical model; Distribution of infinitesimal action; QUANTUM-MECHANICS; SCHRODINGER-EQUATION; FISHER INFORMATION; WAVE MECHANICS; PRINCIPLE; ORIGIN; UNCERTAINTY; DERIVATION; MODEL; FLUCTUATIONS;

D O I：

10.1016/j.physa.2012.09.002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A statistical model of quantization based on an exponential distribution of infinitesimal action is proposed. A trajectory which does not extremize the action along an infinitesimal short segment of path is allowed to occur with a very small probability following an exponential law. Planck's constant is argued to give the average deviation from the infinitesimal stationary action. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：307 / 313

页数：7

共 65 条

[51]

Sonego S., 1991, FOUND PHYS, V21, P1153

[52]

't Hooft G, 1999, CLASSICAL QUANT GRAV, V16, P3263, DOI 10.1088/0264-9381/16/10/316

[53] EQUIVALENCE-RELATIONS BETWEEN DETERMINISTIC AND QUANTUM-MECHANICAL SYSTEMS [J].