Quantization of non-standard Hamiltonian systems

Journal of Physics A: Mathematical and General

Volumn 30, Issue 10, 1997, Pages 3553-3572

  Corichi, Alejandro ^a   Ryan Jr , Michael P ^a,b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b INSTITUTO DE CIENCIAS NUCLEARES   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031582361     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/10/029     Document Type: Article

References (29)

1. Ashtekar A 1980 Commun. Math. Phys. 71 2640 Ashtekar A and Tate R S 1994 J. Math. Phys. 35 6434
2. Ashtekar A 1980 Commun. Math. Phys. 71 2640 Ashtekar A and Tate R S 1994 J. Math. Phys. 35 6434
3. Woodhouse N J M 1992 Geometric Quantization (Oxford: Oxford University Press)
4. Isham C J 1984 Relativity Groups and Topology vol II, ed B S DeWitt and R Stora (Amsterdam: Elsevier)
5. Dyson F J 1990 Am. J. Phys. 58 209
6. Hojman S A and Shepley L C 1991 J. Math. Phys. 32 142
7. Hojman S A 1994 Non-Lagrangian construction of Hamiltonian structures Preprint hep-th/9406158
8. Wald R M 1984 General Relativity (Chicago, IL: University of Chicago Press)
9. Arnold V I 1989 Mathematical Methods of Classical Mechanics (New York: Springer)
10. Marsden J E 1992 Lectures on Mechanics (Cambridge: Cambridge University Press)
11. Hojman S A and Harleston H 1981 J. Math. Phys. 22 1414
12. Brouzet R 1989 C. R. Acad. Sci., Paris 308 287
13. See, e.g. Corben H C and Stehle P 1960 Classical Mechanics (New York: Wiley) Corben H C 1968 Classical and Quantum Theories of Spinning Particles (San Francisco, CA: Holden-Day)
14. See, e.g. Corben H C and Stehle P 1960 Classical Mechanics (New York: Wiley) Corben H C 1968 Classical and Quantum Theories of Spinning Particles (San Francisco, CA: Holden-Day)
15. Hojman S A 1991 J. Phys. A: Math. Gen. 24 L249
16. Kibble T W B 1979 Commun. Math. Phys. 65 189
17. Heslot A 1985 Phys. Rev. D 31 1341
18. Ashtekar A and Schilling T A 1995 Geometry of quantum mechanics CAM-94 Physics Meeting (AIP Conf. Proc 342) ed A Zepeda (Woodbury, NY: AIP) p 471
19. Ashtekar A and Schilling T A 1997 Geometry of quantum mechanics Preprint CGPG
20. Hughston L P 1995 Geometric aspects of quantum mechanics Twistor Theory ed S A Hugget (New York: Marcel Dekker) ch 6, pp 59-79
21. Hughston L P 1996 Proc. R. Soc. 452 953
22. Brylinski R Lecture notes on geometric quantization, unpublished
23. See, e.g. Kodaira K 1986 Complex Manifolds and Deformation of Complex Structures (New York: Springer)
24. Gotay M J, Grundling H and Hurst C A 1996 Trans. Am. Math. Soc. 348 1579
25. See, e.g. Gotay M J 1980 Int. J. Theor. Phys. 19 139
26. See, for instance, Kibble T W B 1978 Commun. Math. Phys. 64 73 and references therein Mielnik B 1974 Commun. Math. Phys. 37 221 Bialynicki-Birula I and Mycielski J 1976 Ann. Phys. 100 62
27. See, for instance, Kibble T W B 1978 Commun. Math. Phys. 64 73 and references therein Mielnik B 1974 Commun. Math. Phys. 37 221 Bialynicki-Birula I and Mycielski J 1976 Ann. Phys. 100 62
28. See, for instance, Kibble T W B 1978 Commun. Math. Phys. 64 73 and references therein Mielnik B 1974 Commun. Math. Phys. 37 221 Bialynicki-Birula I and Mycielski J 1976 Ann. Phys. 100 62
29. Corichi A and Ryan M P Work in progress