Coordinate-free quantization of first-class constrained systems

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 398, Issue 1-2, 1997, Pages 116-122

  Klauder, John R ^a   Shabanov, Sergei V ^b,c,d  

^a UNIVERSITY OF FLORIDA   (United States)

^b UNIVERSITY OF VALENCIA   (Spain)

^c JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^d FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043231001     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(97)00182-2     Document Type: Article

References (17)

1. P.A.M. Dirac, The Principles of Quantum Mechanics (Oxford University Press, Oxford, Third Edition, 1947) p. 114.
2. J.R. Klauder, Ann. of Phys. 188 (1988) 120.
3. L.D. Faddeev, Theor. Math. Phys. 1 (1970) 1.
4. P.A.M. Dirac, Lectures on Quantum Mechanics (Yeshiva University, NY, 1964).
5. N.H. Christ and T.D. Lee, Phys. Rev. D 22 (1980) 939; L.V. Prokhorov, Sov. J. Part. Nucl. Phys. 13 (1982) 1094; A. Ashtekar and G.T. Horowitz, Phys. Rev. D 26 (1982) 3342.
6. N.H. Christ and T.D. Lee, Phys. Rev. D 22 (1980) 939; L.V. Prokhorov, Sov. J. Part. Nucl. Phys. 13 (1982) 1094; A. Ashtekar and G.T. Horowitz, Phys. Rev. D 26 (1982) 3342.
7. N.H. Christ and T.D. Lee, Phys. Rev. D 22 (1980) 939; L.V. Prokhorov, Sov. J. Part. Nucl. Phys. 13 (1982) 1094; A. Ashtekar and G.T. Horowitz, Phys. Rev. D 26 (1982) 3342.
8. V.N. Gribov, Nucl. Phys. B 139 (1978) 1; I.M. Singer, Commun. Math. Phys. 60 (1978) 7;
9. V.N. Gribov, Nucl. Phys. B 139 (1978) 1; I.M. Singer, Commun. Math. Phys. 60 (1978) 7;
10. see also J. Govaerts, Hamiltonian Quantization and Constrained Dynamics (Leuven University Press, 1991).
11. S.V. Shabanov, Phys. Lett. B 255 (1991) 398; B 318 (1993) 323.
12. S.V. Shabanov, Phys. Lett. B 255 (1991) 398; B 318 (1993) 323.
13. J.R. Klauder, Coherent State Quantization of Constraint Systems, IHES/P/96/29, quant-ph/9604033 (April 1996), Ann. of Phys. (in press);
14. see also the first reference in [9].
15. S.V. Shabanov, Path integral in holomorphic representation without gauge fixation, JINR preprint, E2-89-678, Dubna, 1989 (unpublished), (see a revised version quant-ph/9608018); L.V. Prokhorov and S.V. Shabanov, Sov. Phys. Uspekhi, 34 (1991) 108.
16. S.V. Shabanov, Path integral in holomorphic representation without gauge fixation, JINR preprint, E2-89-678, Dubna, 1989 (unpublished), (see a revised version quant-ph/9608018); L.V. Prokhorov and S.V. Shabanov, Sov. Phys. Uspekhi, 34 (1991) 108.
17. See, e.g., H. Cramér and M.R. Leadbetter, Stationary and Related Stochastic Processes (John Wiley & Sons, Inc., 1968), Section 3.3.