Phase space formalisms of quantum mechanics with singular kernel

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 231, Issue 5-6, 1997, Pages 304-310

  Sala, R ^a   Palao, J P ^a   Muga, J G ^a  

^a UNIVERSIDAD DE LA LAGUNA   (Spain)

Author keywords

Classical quantum correspondence; Foundations of quantum mechanics; Phase space; Quantization rules

Indexed keywords

MECHANICS; QUANTUM THEORY;

CLASSICAL-QUANTUM CORRESPONDENCE; FOUNDATIONS OF QUANTUM MECHANICS; PHASE-SPACE FUNCTIONS; QUANTIZATION RULE; SINGULAR KERNEL;

PHASE SPACE METHODS;

EID: 0039976591     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00336-8     Document Type: Article

References (31)

1. L. Cohen, J. Math. Phys. 7 (1966) 781.
2. E. Wigner, Phys. Rev. A 40 (1932) 749.
3. H. Margenau and R.N. Hill, Progr. Theor. Phys. (Kyoto) 26 (1961) 722; G.C. Summerfield and P.F. Zweifel, J. Math. Phys. 10 (1969) 233; R.I. Sutherland, J. Math. Phys. 23 (1982) 2389; S. Sonego, Phys. Rev. A 42 (1990) 3733.
4. H. Margenau and R.N. Hill, Progr. Theor. Phys. (Kyoto) 26 (1961) 722; G.C. Summerfield and P.F. Zweifel, J. Math. Phys. 10 (1969) 233; R.I. Sutherland, J. Math. Phys. 23 (1982) 2389; S. Sonego, Phys. Rev. A 42 (1990) 3733.
5. H. Margenau and R.N. Hill, Progr. Theor. Phys. (Kyoto) 26 (1961) 722; G.C. Summerfield and P.F. Zweifel, J. Math. Phys. 10 (1969) 233; R.I. Sutherland, J. Math. Phys. 23 (1982) 2389; S. Sonego, Phys. Rev. A 42 (1990) 3733.
6. H. Margenau and R.N. Hill, Progr. Theor. Phys. (Kyoto) 26 (1961) 722; G.C. Summerfield and P.F. Zweifel, J. Math. Phys. 10 (1969) 233; R.I. Sutherland, J. Math. Phys. 23 (1982) 2389; S. Sonego, Phys. Rev. A 42 (1990) 3733.
7. H. Weyl, The theory of groups and quantum mechanics (Dover, New York, 1950).
8. J.E. Moyal, Proc. Cambridge Philos. Soc. 45 (1949) 99.
9. D.C. Rivier, Phys. Rev. 83 (1957) 862.
10. M. Born and P. Jordan, Z. Phys. 34 (1925) 873.
11. E.C.G. Sudarshan, Phys. Rev. Lett. 10 (1963) 277.
12. C.L. Metha, J. Math. Phys. 5 (1964) 677.
13. K.E. Cahill and R.J. Glauber, Phys. Rev. 177 (1969) 1857.
14. W.R. Frensley, Phys. Rev. B 36 (1987) 1570; Rev. Mod. Phys. 62 (1990) 745.
15. W.R. Frensley, Phys. Rev. B 36 (1987) 1570; Rev. Mod. Phys. 62 (1990) 745.
16. R.K. Mains and G.I. Haddad, J. Comput. Phys. 112 (1994) 149, and references therein.
17. R. Sala and J.G. Muga, Phys. Lett. A 192 (1994) 180.
18. S.P. Misra and T.S. Shankara, J. Math. Phys. 9 (1968) 299.
19. G.S. Agarwal and E. Wolf, Phys. Rev. D 2 (1970) 2161, 2187, 2206.
20. M.D. Srinivas and E. Wolf, Phys. Rev. D 11 (1975) 1477.
21. N.L. Balazs and B.K. Jennings, Phys. Rep. 104 (1984) 347.
22. L. Cohen and Y.I. Zaparovany, J. Math. Phys. 21 (1980) 794; L. Cohen, Ann. New York Acad. Seci. 480 (1986) 283; A.K. Rajagopal and S. Teitler, Pramana J. Phys. 33 (1989) 347.
23. L. Cohen and Y.I. Zaparovany, J. Math. Phys. 21 (1980) 794; L. Cohen, Ann. New York Acad. Seci. 480 (1986) 283; A.K. Rajagopal and S. Teitler, Pramana J. Phys. 33 (1989) 347.
24. L. Cohen and Y.I. Zaparovany, J. Math. Phys. 21 (1980) 794; L. Cohen, Ann. New York Acad. Seci. 480 (1986) 283; A.K. Rajagopal and S. Teitler, Pramana J. Phys. 33 (1989) 347.
25. R.J. Glauber, Phys. Rev. 131 (1963) 2766.
26. D. Lalovic, D.M. Davidovic and N. Bijedic, Phys. Rev. A 46 (1992) 1206.
27. J.P. Dahl, in: H.D. Doebner, W. Scherer and F. Schroeck, Jr., eds., Classical and quantum systems, foundations and symmetries (World Scientific, Singapore, 1993) p. 420.
28. T.S. Shankara, Progr. Theor. Phys. (Kyoto) 37 (1967) 1335.
29. I.S. Gradshteyn and M. Ryzhik, Table of integrals, series and products (Academic Press, San Diego, 1994).
30. F.W. Byron and R.W. Fuller, Mathematics of classical and quantum physics (Addison, Reading MA, 1969) p. 248.
31. D.S. Jones, Generalised functions (McGraw-Hill, London, 1967).