A correspondence principle

被引：1

作者：

Hughes, Barry D. ^{[1
]}

Ninham, Barry W. ^{[2
]}

机构：

[1] Univ Melbourne, Sch Math & Stat, Melbourne, Vic 3010, Australia

[2] Australian Natl Univ, Res Sch Phys Sci & Engn, Dept Appl Math, Canberra, ACT 0200, Australia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 443卷

关键词：

Classical analysis; Quantum mechanics; Statistical mechanics; Random walks and Levy flights; Quasicrystals; Casimir forces; DER-WAALS FORCES; CASIMIR FORCE; UNREASONABLE EFFECTIVENESS; PRECISION-MEASUREMENT; ATTRACTIVE FORCES; QUASI-CRYSTALS; DIFFRACTION; FAMILY;

D O I：

10.1016/j.physa.2015.09.024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A single mathematical theme underpins disparate physical phenomena in classical, quantum and statistical mechanical contexts. This mathematical "correspondence principle", a kind of wave particle duality with glorious realizations in classical and modern mathematical analysis, embodies fundamental geometrical and physical order, and yet in some sense sits on the edge of chaos. Illustrative cases discussed are drawn from classical and anomalous diffusion, quantum mechanics of single particles and ideal gases, quasicrystals and Casimir forces. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：495 / 517

页数：23

共 50 条

[41] A CORRESPONDENCE PRINCIPLE FOR CONFINING POTENTIALS
CHAVDA, LK
HELVETICA PHYSICA ACTA, 1987, 60 (5-6): : 726 - 726
[42] Quantum chaos and the correspondence principle
Wang, Jiaozi
Benenti, Giuliano
Casati, Giulio
Wang, Wen-Ge
PHYSICAL REVIEW E, 2021, 103 (03)
[43] GALILEO PARTICLES AND PRINCIPLE OF CORRESPONDENCE
PIRON, C
HELVETICA PHYSICA ACTA, 1972, 45 (01): : 34 - &
[44] On the correspondence principle for the quantized annulus
Englis, M
Peetre, J
MATHEMATICA SCANDINAVICA, 1996, 78 (02) : 183 - 206
[45] Giant gravitons and a correspondence principle
Balasubramanian, V
Naqvi, A
PHYSICS LETTERS B, 2002, 528 (1-2) : 111 - 120
[46] APPLICATIONS OF BOHR CORRESPONDENCE PRINCIPLE
CRAWFORD, FS
AMERICAN JOURNAL OF PHYSICS, 1989, 57 (07) : 621 - 628
[47] Resonance radiation and the correspondence principle
Darwin, CG
NATURE, 1925, 115 : 81 - 82
[48] EXCESS INTERSECTIONS AND A CORRESPONDENCE PRINCIPLE
VANGASTEL, LJ
INVENTIONES MATHEMATICAE, 1991, 103 (01) : 197 - 221
[49] COUPLING, RETHEORETIZATION, AND THE CORRESPONDENCE PRINCIPLE
ROSENBERG, JF
SYNTHESE, 1980, 45 (03) : 351 - 385
[50] CHAOS, QUANTIZATION, AND THE CORRESPONDENCE PRINCIPLE
BATTERMAN, RW
SYNTHESE, 1991, 89 (02) : 189 - 227

← 1 2 3 4 5 →