The projective unitary irreducible representations of the Galilei group in 1+2 dimensions

Journal of Mathematical Physics

Volumn 37, Issue 1, 1996, Pages 460-473

  Grigore, D R ^a  

^a INSTITUTE OF ATOMIC PHYSICS   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030553432     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531402     Document Type: Article

References (8)

1. D. R. Grigore, "The projective unitary irreducible representations of the Poincaré group in 1+2 dimensions," J. Math. Phys. 34, 4172-4189 (1993).
2. J. Mund and R. Schrader, "Hilbert Space for Nonrelativistic and Relativistic Free Plektons (Particles with Braid Group Statistics)" (preprint, Univ. Berlin, SFB 288 No. 74).
3. V. S. Varadarajan, Geometry of Quantum Theory, 2nd ed. (Springer, New York, 1985).
4. L. M. Lévy-Leblond, "Galilei Group and Galilean Invariance," in Group Theory and its Applications, edited by E. Loebl (Academic, New York, 1971).
5. W. Thirring, Quantum Mechanics of Atoms and Molecules (Springer, New York, 1979).
6. J. L. Loomis, An Introduction to Abstract Harmonic Analysis (Van Nostrand, Princeton, NJ, 1953).
7. A. O. Barut and R. Ra̧czka, Theory of Group Representations and Applications (PWN - Polish Scientific, Warszawa, 1980).
8. A. Ballesteros, M. Gadella, and M. A. Del Olmo, "Moyal quantization of 2+1-dimensional Galileian systems," J. Math. Phys. 33, 3379-3386 (1992).