The role of the de Sitter group in relativistic quantum mechanics

被引：0
|
作者：
Garcia-Alvarez, ET [1 ]
Gaioli, FH [1 ]
机构：
[1] Inst Astron & Fis Espacio, RA-1428 Buenos Aires, DF, Argentina
来源：
GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2 | 1997年
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the inhomogeneous de Sitter group and study its irreducible representations for the massless case. Discrete symmetries associated to such a group acquire a geometrical interpretation. We discuss the pair-creation mechanism in external electromagnetic fields, where the Zitterbewegung turns out to be the key to understand such a phenomenon at a first quantized level.
引用
收藏
页码：514 / 516
页数：3
相关论文
共 50 条
  • [21] RELATIVISTIC QUANTUM MECHANICS
    MANSFIEL.JE
    PHYSICS TODAY, 1965, 18 (03) : 81 - &
  • [22] Classical mechanics in the de Sitter space
    Won Sang Chung
    Hassan Hassanabadi
    Journal of the Korean Physical Society, 2017, 71 : 13 - 18
  • [23] The quantum de Sitter root of quasi de Sitter observables
    Gomez, Cesar
    Jimenez, Raul
    PHYSICS OF THE DARK UNIVERSE, 2022, 36
  • [24] Classical mechanics in the de Sitter space
    Chung, Won Sang
    Hassanabadi, Hassan
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2017, 71 (01) : 13 - 18
  • [25] Quantum de Sitter Geometry
    Takook, Mohammad Vahid
    UNIVERSE, 2024, 10 (02)
  • [26] QUANTUM MECHANICS AND FIELD THEORY WITH MOMENTUM DEFINED ON AN ANTI-DE SITTER SPACE
    Bander, Myron
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2010, 25 (26): : 4889 - 4899
  • [27] QUANTUM MECHANICS AND FIELD THEORY WITH MOMENTUM DEFINED ON AN ANTI-DE-SITTER SPACE
    Bander, Myron
    QUANTUM MECHANICS, ELEMENTARY PARTICLES, QUANTUM COSMOLOGY AND COMPLEXITY, 2011, : 287 - 296
  • [28] The role of quantum group invariance in nonextensive quantum statistical mechanics
    Ubriaco, MR
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 305 (1-2) : 305 - 309
  • [29] Euclidean relativistic quantum mechanics
    Polyzou, W. N.
    Kopp, Philip
    PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, 2012, 67 (02) : 558 - 562
  • [30] Geometrizing Relativistic Quantum Mechanics
    F. T. Falciano
    M. Novello
    J. M. Salim
    Foundations of Physics, 2010, 40 : 1885 - 1901
12345