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A special construction of Berezin'sL-Kernel

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Abstract

We consider Berezin's algebraic considerations regarding the quantization of phase space polynomials. After making a connection with Prugovečki's stochastic quantization approach, we give a particular construction of Berezin's L-Kernel in terms of Prugovečki's ξ-functions.

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References

  1. F. A. Berezin,Method of Second Quantization (Academic Press, London, 1966).

    Google Scholar 

  2. F. A. Berezin and M. A. Šubin, “Hilbert-space operators and operator algebras,” inColloquia Mathematica Societatis Janos Bolyai 5 (North-Holland, Amsterdam, 1972).

    Google Scholar 

  3. C. N. Ktorides and L. C. Papaloucas,J. Phys. A 17, 1879 (1984).

    Google Scholar 

  4. C. N. Ktorides and L. C. Papaloucas,Prog. Theor. Phys. 75, 465 (1986).

    Google Scholar 

  5. L. van Hove,Proc. R. Acad. Sci. Belg. 26, 1 (1951).

    Google Scholar 

  6. M. J. Souriau,Commun. Math. Phys. 1, 374 (1966).

    Google Scholar 

  7. R. F. Streater,Commun. Math. Phys. 2, 354 (1966).

    Google Scholar 

  8. E. Prugovečki,Found Phys. 11, 355 (1981).

    Google Scholar 

  9. E. Prugovečki,Phys. Rev. Lett. 49(15), 1065 (1982).

    Google Scholar 

  10. A. A. Kirillov,Elements of the Theory of Representations (Springer, New York, 1976), pp. 241–242.

    Google Scholar 

  11. P. R. Chernoff,Hadronic J. 4, 479 (1981).

    Google Scholar 

  12. S. L. Wollenberg,Proc. Am. Math. Soc. 20, 315 (1967).

    Google Scholar 

  13. A. Joseph,Commun. Math. Phys. 17, 210 (1970).

    Google Scholar 

  14. E. Prugovečki,Stochastic Quantum Mechanics and Quantum Spacetime (D. Reidel, Dordrecht, 1984).

    Google Scholar 

  15. S. T. Ali,Riv. Nuovo Cimento 8, 1 (1985).

    Google Scholar 

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Authors and Affiliations

  1. Physics Department, University of Athens, Athens, Greece

    C. N. Ktorides

  2. Institute of Mathematics, University of Athens, Athens, Greece

    L. C. Papaloucas

Authors
  1. C. N. Ktorides
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  2. L. C. Papaloucas
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Ktorides, C.N., Papaloucas, L.C. A special construction of Berezin'sL-Kernel. Found Phys 17, 201–207 (1987). https://doi.org/10.1007/BF00733209

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  • DOI: https://doi.org/10.1007/BF00733209

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