Exact Foldy-Wouthuysen transformation for a Dirac theory revisited

被引:8
|
作者
Goncalves, Bruno [1 ]
Dias Junior, Mario M. [2 ]
Ribeiro, Baltazar J. [3 ]
机构
[1] Inst Fed Educ Ciencia & Tecnol Sudeste Minas Gera, IF Sudeste MG, BR-36080001 Juiz De Fora, MG, Brazil
[2] Univ Fed Juiz de Fora, Dept Fis, ICE, BR-36036330 Juiz de Fora, MG, Brazil
[3] Ctr Fed Educ Tecnol Minas Gerais, CEFET MG, BR-36700000 Leopoldina, MG, Brazil
关键词
CPT VIOLATION; LORENTZ TESTS; SPIN; CONSTRAINTS; PARTICLES; TORSION;
D O I
10.1103/PhysRevD.99.096015
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The exact Foldy-Wouthuysen transformation method is generalized here. In principle, it is not possible to construct the exact Foldy-Wouthuysen transformation for any Hamiltonian. The transformation conditions are the same, but the involution operator has a new form. We took a particular example and constructed explicitly the new involution operator that allows one to perform the transformation. We treat the case of the Hamiltonian with 160 possible CPT-Lorentz breaking terms, using this new technique. The transformation was performed, and physics analysis of the equations of motion is shown.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] On exact Foldy-Wouthuysen transformation
    Nikitin, AG
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (14): : 3297 - 3300
  • [2] SOME ASPECTS OF THE EXACT FOLDY-WOUTHUYSEN TRANSFORMATION FOR A DIRAC FERMION
    Goncalves, Bruno
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2009, 24 (8-9): : 1717 - 1720
  • [3] Foldy-Wouthuysen wave functions and conditions of transformation between Dirac and Foldy-Wouthuysen representations
    Neznamov, V. P.
    Silenko, A. J.
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (12)
  • [4] Supersymmetry, exact Foldy-Wouthuysen transformation, and gravity
    Heidenreich, S
    Chrobok, T
    von Borzeszkowski, HH
    PHYSICAL REVIEW D, 2006, 73 (04)
  • [5] THE FOLDY-WOUTHUYSEN TRANSFORMATION
    COSTELLA, JP
    MCKELLAR, BHJ
    AMERICAN JOURNAL OF PHYSICS, 1995, 63 (12) : 1119 - 1121
  • [6] COVARIANCE, CPT AND THE FOLDY-WOUTHUYSEN TRANSFORMATION FOR THE DIRAC OSCILLATOR
    MORENO, M
    ZENTELLA, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (17): : L821 - L825
  • [7] SUPERSYMMETRY, FOLDY-WOUTHUYSEN TRANSFORMATION AND STABILITY OF THE DIRAC SEA
    MORENO, M
    MARTINEZ, R
    ZENTELLA, A
    MODERN PHYSICS LETTERS A, 1990, 5 (12) : 949 - 954
  • [8] THE FOLDY-WOUTHUYSEN REPRESENTATION REVISITED
    OHTA, K
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (02): : 389 - 396
  • [9] The space-time torsion in the context of the exact Foldy-Wouthuysen transformation for a Dirac fermion
    Goncalves, Bruno
    Ribeiro, Baltazar J.
    Pereira, Dante D.
    Dias, Mario M., Jr.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2016, 31 (13):
  • [10] Approximate Foldy-Wouthuysen transformation of the Dirac Hamiltonian in general spacetimes
    Buhl, M.
    von Borzeszkowski, H. -H.
    Chrobok, T.
    PHYSICAL REVIEW D, 2008, 78 (10):