Quantum mechanics of a point particle in (2 + 1)-dimensional gravity

Classical and Quantum Gravity

Volumn 15, Issue 10, 1998, Pages 2981-3030

  Matschull, Hans Jürgen ^a   Welling, Max ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032354454     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/15/10/008     Document Type: Article

References (24)

1. Staruszkiewicz A 1963 Gravitation theory in three-dimensional space Acta Phys. Polon. 24 734
2. Deser S, Jackiw R and 't Hooft G 1984 Three-dimensional Einstein gravity: dynamics of flat space Ann. Phys. 152 220
3. Achucarro A and Townsend P 1986 A Chern-Simons action for three-dimensional anti-de-Sitter supergravity theories Phys. Lett. B 180 85
4. Witten E 1988 (2 + 1)-dimensional gravity as an exactly soluble system Nucl. Phys. B 331 46
5. Carlip S 1993 Six ways to quantize (2 + 1)-dimensional gravity Preprint gr-qc/9305020
6. Carlip S 1989 Exact quantum scattering in 2 + 1 dimensional gravity Nucl. Phys. B 324 106
7. 't Hooft G 1992 Causality in (2 + 1)-dimensional gravity Class. Quantum Grav. 9 1335
8. 't Hooft G 1988 Nonperturbative two particle scattering amplitudes in (2 + 1)-dimensional quantum gravity Commun. Math. Phys. 117 685
9. 't Hooft G 1996 Quantization of point particles in (2 + 1)-dimensional gravity and spacetime discreteness Class. Quantum Grav. 13 1023
10. 't Hooft G 1993 Canonical quantization of gravitating point particles in 2 + 1 dimensions Class. Quantum Grav. 10 1653
11. Bellini A, Ciafaloni M and Valtancoli P 1996 Solving the N-body problem in (2 + 1)-gravity Nucl. Phys. B 462 453
12. Snyder H 1947 Quantized space-time Phys. Rev. 71 38
13. Matschull H-J 1998 Phase space structure of multi-particles models in 2 + 1 gravity, in preparation
14. Matschull H-J 1995 Three-dimensional canonical quantum gravity Class. Quantum Grav. 12 262
15. Welling M 1997 Two particle quantum mechanics in 2 + 1 gravity using non commuting coordinates Preprint gr-qc/9703058
16. Welling M 1996 Gravity in 2 + 1 dimensions as a Riemann-Hilbert problem Class. Quantum Grav. 13 653
17. Demichev A 1997 Physical meaning of quantum space time symmetries Preprint hep-th/9701079
18. Grignani G and Nardelli G 1992 Gravity and the Poincaré group Phys. Rev. D 45 2719
19. Salomonson P, Skagerstam B S and Stern A 1990 1SO(2, 1) chiral models and quantum gravity in (2 + 1)-dimensions Nucl. Phys. B 347 769
20. Limić N, Niederle J and Raczka R 1966 Discrete (continuous) degenerate representations of non compact rotation groups I J. Math. Phys. 7 1861 Limic N, Niederle J and Raczka R 1966 Discrete (continuous) degenerate representations of non compact rotation groups II J. Math. Phys. 7 2026
21. Limić N, Niederle J and Raczka R 1966 Discrete (continuous) degenerate representations of non compact rotation groups I J. Math. Phys. 7 1861 Limic N, Niederle J and Raczka R 1966 Discrete (continuous) degenerate representations of non compact rotation groups II J. Math. Phys. 7 2026
22. Dijkgraaf R, Verlinde H and Verlinde E 1992 String propagation in a black hole geometry Nucl. Phys. B 371 269
23. Holman W J and Biedenharn L C 1966 Complex angular momenta and the groups SU(1, 1) and SU(2) Ann. Phys. 39 1
24. Vilenkin N J and Klimyk A U 1991 Representation of Lie Groups and Special Functions vol 1 (Dordrecht: Kluwer)