Tensorial Relativistic Quantum Mechanics in (1+1) Dimensions and Boundary Conditions

被引:0
|
作者
Vidal Alonso
Salvatore De Vincenzo
Luigi Mondino
机构
来源
Foundations of Physics | 1999年 / 29卷
关键词
Boundary Condition; Quantum Mechanic; Stationary State; Dynamical Feature; Relativistic Quantum;
D O I
暂无
中图分类号
学科分类号
摘要
The tensorial relativistic quantum mechanics in (1+1) dimensions is considered. Its kinematical and dynamical features are reviewed as well as the problem of finding the Dirac spinor for given finite multivectors. For stationary states, the dynamical tensorial equations, equivalent to the Dirac equation, are solved for a free particle, for a particle inside a box, and for a particle in a step potential.
引用
收藏
页码:231 / 250
页数:19
相关论文
共 50 条
  • [1] Tensorial relativistic quantum mechanics in (1+1) dimensions and boundary conditions
    Alonso, V
    De Vincenzo, S
    Mondino, L
    FOUNDATIONS OF PHYSICS, 1999, 29 (02) : 231 - 250
  • [2] On the relativistic quantum mechanics of a photon between two electrons in 1+1 dimensions
    Frolov, Lawrence
    Leigh, Samuel
    Tahvildar-Zadeh, Shadi
    LETTERS IN MATHEMATICAL PHYSICS, 2025, 115 (01)
  • [3] Boundary conditions and anomalies of conformal field theories in 1+1 dimensions
    Li, Linhao
    Hsieh, Chang-Tse
    Yao, Yuan
    Oshikawa, Masaki
    PHYSICAL REVIEW B, 2024, 110 (04)
  • [4] Changes of representation and general boundary conditions for Dirac operators in 1+1 dimensions
    De Vincenzo, S.
    REVISTA MEXICANA DE FISICA, 2014, 60 (05) : 401 - 408
  • [5] HORSESHOES IN A RELATIVISTIC HAMILTONIAN SYSTEM IN 1+1 DIMENSIONS
    HORWITZ, LP
    SCHIEVE, WC
    PHYSICAL REVIEW A, 1992, 46 (02): : 743 - 756
  • [6] Fermionization and boundary states in 1+1 dimensions
    Fukusumi, Yoshiki
    Tachikawa, Yuji
    Zheng, Yunqin
    SCIPOST PHYSICS, 2021, 11 (04):
  • [7] STATISTICAL-MECHANICS OF KINKS IN 1+1 DIMENSIONS
    ALEXANDER, FJ
    HABIB, S
    PHYSICAL REVIEW LETTERS, 1993, 71 (07) : 955 - 958
  • [8] BOUNDARY-CONDITIONS IN RELATIVISTIC QUANTUM-MECHANICS
    MARX, E
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1978, 23 (04): : 584 - 584
  • [9] Absorbing boundary conditions for relativistic quantum mechanics equations
    Antoine, X.
    Lorin, E.
    Sater, J.
    Fillion-Gourdeau, F.
    Bandrauk, A. D.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 277 : 268 - 304
  • [10] Lagrangian and Hamiltonian Formalisms for Relativistic Mechanics with Lorentz-Invariant Evolution Parameters in 1+1 Dimensions
    Akintsov, Nikolai S.
    Nevecheria, Artem P.
    Kopytov, Gennadii F.
    Yang, Yongjie
    SYMMETRY-BASEL, 2023, 15 (09):