Quick Search:
Prog. Theor. Phys. Supplement Extra Number (1965) pp. 609-620
Particle Dynamics and Symmetries in De Sitter Space
Yasutaka Tanikawa
Department of Physics, Kobe University, Kobe
(Received July 1, 1965)
Abstract:
It is attempted to formulae the classical and quantum dynamics of a particle in the de Sitter space on the basis of natural invariance requirement. It is found that a particle motion in the de Sitter space has a remarkable symmetry of the phase space which is a generalization of reciprocal symmetry of particle coordinates and energy-momenta proposed by Born and emphasized by Yukawa. We study the formal and physical aspect of generalized symmetries in the theory.
URL :
http://ptp.ipap.jp/link?PTPS/E65/609/
DOI : 10.1143/PTPS.E65.609
References:
- P. A. M. Dirac, Ann. Math. 36 (1935), 657.
- S. Watanabe, Sci. Pap. IPCR. 39 (1941), 157.
S. A. Raje, Prog. Theor. Phys. 8 (1952), 384[PTP].
K. Goo, Prog. Theor. Phys. 12 (1954), 311[PTP].
F. Gürsey and T. D. Lee, preprint (1963).
-
M. Born, Rev. Mod. Phys. 21 (1949), 463[APS].
-
H. Yukawa, Phys. Rev. 77 (1950), 219[APS];
ibid. 80 (1950), 1047[APS].
- Y. Tanikawa and N. Mugibayashi, Prog. Theor. Phys. Suppl. No. 25 (1963), 99, [PTP](see p. 104).
-
D. W. Joseph, Phys. Rev. 126 (1961), 319[APS].
Seminar on the Embedding Problem:
Rev. Mod. Phys. 37 (1965), 201[APS].
I. Robinson and Y. Ne'eman, Rev. Mod. Phys. 37 (1965), 201[APS].
C. Fronsdal, Rev. Mod. Phys. 37 (1965), 221[APS].
D. W. Joseph, Rev. Mod. Phys. 37 (1965), 225[APS].
Y. Ne'eman, Rev. Mod. Phys. 37 (1965), 227[APS].
Y. Ne'eman, Ann. of Phys. 31 (1965), 391[CrossRef].
- C. Møller, The Theory of Relativity, (Oxford, 1952.)
- See S. Watanabe, reference 2).
- K. Husimi, A lecture note, Tokyo Univ. (1948).
- I. M. Gel'fand, R. A. Minlos and Z. Ya. Shapiro, Representations of the Rotation and Lorentz Groups and their Applications, (Pergamon Press, 1963), p. 160.
-
A. O. Barut, J. Math. Phys. 5 (1953), 1652[CrossRef].
F. Poccanoni and M. Pusterla, Nuovo Cim. 32 (1964), 234.
- L. H. Thomas, Ann. Math. 42 (1941), 113.
- T. D. Newton, Ann. Math. 51 (1956), 730.
- H. Yukawa, Prog. Theor. Phys. 31 (1964), 1167[PTP].
Y. Katayama and H. Yukawa, Prog. Theor. Phys. 32 (1964), 366[PTP].
- T. Takabayashi, Nuovo Cim. 33 (1964), 668: preprint NUDP-T-1 (1965), Nagoya Univ.
O. Hara and T. Goto, preprint, NUP-65-7, (1965), Nihon Univ.
