Universal procedure for enforcing quantum constraints

Nuclear Physics B

Volumn 547, Issue 1-2, 1999, Pages 397-412

  Klauder, John R ^a  

^a University of Florida ^*  (United States)

Author keywords

Constraints; Functional integral; Quantization

Indexed keywords

EID: 0033541897     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00106-6     Document Type: Article

References (12)

1. J.R. Klauder, Coherent state quantization of constraint systems, Ann. Phys. 254 (1997) 419.
2. S.V. Shabanov, Path integral in holomorphic representation without gauge fixation, in Path Integrals: Dubna '96, (Publishing Department, Joint Institute for Nuclear Research, 1996), p. 133-138.
3. J. Govaerts and J.R. Klauder, Solving gauge invariant systems without gauge fixing: The physical projector in 0+1 dimensional theories, Ann. Phys. (in press), hep-th/9809119.
4. See, e.g., M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton Univ. Press, Princeton, NJ, 1992).
5. P.A.M Dirac, Lectures on Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, New York, 1964).
6. D. McMullan and I. Tsutsui, On the emergence of gauge structures and generalized spin when quantizing on a coset space, Ann. Phys. 237 (1995) 269.
7. J.R. Klauder and B.-S. Skagerstam, Coherent States: Applications to Physics and Mathematical Physics, (World Scientific, Singapore, 1985).
8. J. McKenna and J.R. Klauder, Continuous representation theory IV. Structure of a class of function spaces arising from quantum mechanics, J. Math. Phys. 5 (1964) 878.
9. See, e.g., H. Grunding and C.A. Hurst, Algebraic quantization of systems with a gauge degeneracy, Commun. Math. Phys. 98 (1985) 369; A. Higuchi, Linearized quantum gravity in flat space with toroidal topology, Class. Quant. Grav. 8(1991) 2023; N.P. Landsman, Rieffel induction as generalized quantum Marsden-Weinstein reduction, J. Geom. Phys.15 (1995) 285; J.R. Klauder, Coherent state quantization of constraint systems, Ann. Phys. 254 (1997) 419.
10. See, e.g., H. Grunding and C.A. Hurst, Algebraic quantization of systems with a gauge degeneracy,Commun. Math. Phys. 98 (1985) 369; A. Higuchi, Linearized quantum gravity in flat space with toroidal topology, Class. Quant. Grav. 8 (1991) 2023; N.P. Landsman, Rieffel induction as generalized quantum Marsden-Weinstein reduction, J. Geom. Phys.15 (1995) 285; J.R. Klauder, Coherent state quantization of constraint systems, Ann. Phys. 254 (1997) 419.
11. See, e.g., H. Grunding and C.A. Hurst, Algebraic quantization of systems with a gauge degeneracy,Commun. Math. Phys. 98 (1985) 369; A. Higuchi, Linearized quantum gravity in flat space with toroidal topology, Class. Quant. Grav. 8(1991) 2023; N.P. Landsman, Rieffel induction as generalized quantum Marsden-Weinstein reduction, J. Geom. Phys. 15 (1995) 285; J.R. Klauder, Coherent state quantization of constraint systems, Ann. Phys. 254 (1997) 419.
12. See, e.g., H. Grunding and C.A. Hurst, Algebraic quantization of systems with a gauge degeneracy,Commun. Math. Phys. 98 (1985) 369; A. Higuchi, Linearized quantum gravity in flat space with toroidal topology, Class. Quant. Grav. 8(1991) 2023; N.P. Landsman, Rieffel induction as generalized quantum Marsden-Weinstein reduction, J. Geom. Phys.15 (1995) 285; J.R. Klauder, Coherent state quantization of constraint systems, Ann. Phys. 254 (1997) 419.