Spontaneous symmetry breaking in quantum mechanics

被引：26

作者：

van Wezel, Jasper ^{[1
]}

van den Brink, Jeroen ^{[1
]}

机构：

[1] Leiden Univ, Inst Lorentz Theoret Phys, NL-2300 RA Leiden, Netherlands

来源：

AMERICAN JOURNAL OF PHYSICS | 2007年 / 75卷 / 07期

关键词：

D O I：

10.1119/1.2730839

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

We present a mathematically simple procedure to explain spontaneous symmetry breaking in quantum systems. The procedure is applicable to a wide range of models and can be easily used to explain the existence of a symmetry broken state in crystals, antiferromagnets, and even superconductors. It has the advantage that it automatically brings to the fore the main players in spontaneous symmetry breaking: the symmetry-breaking field, the thermodynamic limit, and the global excitations of a "thin" spectrum. (c) 2007 American Association of Physics Teachers.

引用

页码：635 / 638

页数：4

共 50 条

[41] Quantum phase transition and spontaneous symmetry breaking in a nonlinear quantum Rabi model
Ying, Zu-Jian
Cong, Lei
Sun, Xi-Mei
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 53 (34)
[42] Spontaneous symmetry breaking and chiral symmetry
Li, LF
PARTICLES AND FIELDS, 2000, 531 : 16 - 44
[43] Spontaneous symmetry breakdown in non-relativistic quantum mechanics
Munoz-Vega, R.
Garcia-Quiroz, A.
Lopez-Chavez, Ernesto
Salinas-Hernandez, Encarnacion
AMERICAN JOURNAL OF PHYSICS, 2012, 80 (10) : 891 - 897
[44] Spontaneous Replica Symmetry Breaking and Interpolation Methods for Complex Statistical Mechanics Systems
Guerra, Francesco
CORRELATED RANDOM SYSTEMS: FIVE DIFFERENT METHODS: CIRM JEAN-MORLET CHAIR, SPRING 2013, 2015, 2143 : 45 - 70
[45] SUBGROUPS OF EUCLIDEAN GROUP AND SYMMETRY BREAKING IN NONRELATIVISTIC QUANTUM-MECHANICS
BECKERS, J
PATERA, J
PERROUD, M
WINTERNITZ, P
JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (01) : 72 - 83
[46] Laser-induced spatial symmetry breaking in quantum and classical mechanics
Franco, Ignacio
Brumer, Paul
PHYSICAL REVIEW LETTERS, 2006, 97 (04)
[47] Renormalization group flow to effective quantum mechanics in the IR in an emergent dual holographic description for spontaneous chiral symmetry breaking
Kim, Ki-Seok
Nishida, Mitsuhiro
Choun, Yoonseok
PHYSICAL REVIEW D, 2023, 107 (06)
[48] Symmetry-Protected Quantum Adiabatic Evolution in Spontaneous Symmetry-Breaking Transitions
Zhuang, Min
Huang, Jiahao
Ke, Yongguan
Lee, Chaohong
ANNALEN DER PHYSIK, 2020, 532 (04)
[49] QUANTUM MEASUREMENTS, PHASE-TRANSITIONS, AND SPONTANEOUS SYMMETRY-BREAKING
MAYBUROV, SN
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1995, 34 (08) : 1587 - 1593
[50] The Probability Flow in the Stock Market and Spontaneous Symmetry Breaking in Quantum Finance
Arraut, Ivan
Marques, Joao Alexandre Lobo
Gomes, Sergio
MATHEMATICS, 2021, 9 (21)

← 1 2 3 4 5 →