Holonomy in Quaternionic Quantum Mechanics

被引：0
|
作者：
Jerzy Dajka
Marek Szopa
机构：
[1] University of Silesia,Institute of Physics
来源：
International Journal of Theoretical Physics | 2003年 / 42卷
关键词：
Berry phase; holonomy; quaternionic quantum mechanics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The generalization of geometric phase for the quantum systems described by quaternionic quantum mechanics is given. The geometry of the quantum cyclic evolution is studied and the quaternionic Berry phase is shown to be given by the holonomy of the suitably defined fiber bundle.
引用
收藏
页码：1053 / 1057
页数：4
相关论文
共 50 条
  • [31] Pseudoanti-Hermitian operators in quaternionic quantum mechanics
    Scolarici, G
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (34): : 7493 - 7505
  • [32] Observations of the Ramsauer–Townsend effect in quaternionic quantum mechanics
    Hadi Sobhani
    Hassan Hassanabadi
    Won Sang Chung
    The European Physical Journal C, 2017, 77
  • [33] Virial theorem and generalized momentum in quaternionic quantum mechanics
    Giardino, Sergio
    EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (01):
  • [34] Virial theorem and generalized momentum in quaternionic quantum mechanics
    Sergio Giardino
    The European Physical Journal Plus, 135
  • [35] Quaternionic potentials in non-relativistic quantum mechanics
    De Leo, S
    Ducati, GC
    Nishi, CC
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (26): : 5411 - 5426
  • [36] Non-anti-hermitian Quaternionic Quantum Mechanics
    Sergio Giardino
    Advances in Applied Clifford Algebras, 2018, 28
  • [37] Half-whole dimensions in quaternionic quantum mechanics
    DeLeo, S
    PROGRESS OF THEORETICAL PHYSICS, 1996, 95 (06): : 1029 - 1039
  • [38] Flat manifolds with holonomy representation of quaternionic type
    Hiss, Gerhard
    Lutowski, Rafal
    Szczepanski, Andrzej
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (03) : 1286 - 1294
  • [39] Odd dimensional translation between complex and quaternionic quantum mechanics
    DeLeo, S
    Rotelli, P
    PROGRESS OF THEORETICAL PHYSICS, 1996, 96 (01): : 247 - 255
  • [40] proper versus improper mixtures: Toward a quaternionic quantum mechanics
    Masillo, F.
    Scolarici, G.
    Sozzo, S.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 160 (01) : 1006 - 1013
12345