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Group Theoretical Methods in Physics pp 260–271Cite as

Deformation of symplectic structure and quantization

  • Symplectic Structure and Geometric Quantization
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Part of the book series: Lecture Notes in Physics ((LNP,volume 94))

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References

  1. F. BAYEN, M. FLATO, C. FRONSDAL, A. LICHNEROWICZ and D. STERNHEIMER: Deformation theory and quantization. Ann.Phys. (N.Y.) 111 (1978) 61–151. Cf. also Lett. Math. Phys. 1 (1977), 521.

    Google Scholar 

  2. C. FRONSDAL: Some ideas about quantization. UCLA/77/TEP/18. (Preprint October 1977) To be published in Reports of Math. Phys.

    Google Scholar 

  3. A. LICHNEROWICZ: Construction of twisted products for cotangent bundles of classical groups and Stiefel manifolds. Lett. Math. Phys. 2 (1977), 133.

    Google Scholar 

  4. O. ARNAL and J.C. CORTET: Geometrical theory of contractions of groups and representations. Dijon 805 (prepring May 1978). To be published in J.Math. Phys.

    Google Scholar 

  5. M. GERSTENHABER: Ann. Math. 79 (1964), 59.

    Google Scholar 

  6. H. WEYL: The theory of groups and quantum mechanics, Dover, New York, 1931.

    Google Scholar 

  7. E.P. WIGNER: Phys. Rev. 40 (1932), 749.

    Google Scholar 

  8. J.E. MOYAL: Proc. Cambridge Phil. Soc. 45 (1949), 99.

    Google Scholar 

  9. E.S. AGARWAL and E. WOLF: Phys. Rev. D2, 2161 (1970)

    Google Scholar 

  10. K.C. LIU: J. Math. Phys. 17, 859 (1976).

    Google Scholar 

  11. A. VOROS: Developpements semi-classiques (thèse Université de Paris-Sud,no1843, may 1977).

    Google Scholar 

  12. D. BABBITT: “Hilbert spaces of analytic functions” in Studies in Mathematical Physics, Princeton University Press, Princeton 1976.

    Google Scholar 

  13. I. DAUBECHIES: An application of hyperdifferential operators to holomorphic quantization (1978) to be published in Lett. Math.Phys.

    Google Scholar 

  14. G.H. HARDY: Proceedings of-the Cambridge Philosophical Society 36, (1940), 1.

    Google Scholar 

  15. E.D. RAINVILLE, Special functions, Chealsea publishing co. (1960).

    Google Scholar 

  16. M. FLATO, A. LICHNEROWICZ and D. STERNHEIMER: J. Math. Phys. 17 (1976) 1754.

    Google Scholar 

  17. P.A.M. DIRAC: Lectures on Quantum Mechanics, Belfer Graduate School.

    Google Scholar 

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Authors and Affiliations

  1. Département de Mathématiques, Université de Paris 6, 4 Place Jussieu, 75230, Cedex 05, Paris

    François Bayen

Authors
  1. François Bayen
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Wolf Beiglböck Arno Böhm E. Takasugi

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© 1979 Springer-Verlag

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Bayen, F. (1979). Deformation of symplectic structure and quantization. In: Beiglböck, W., Böhm, A., Takasugi, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09238-2_73

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  • DOI: https://doi.org/10.1007/3-540-09238-2_73

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09238-4

  • Online ISBN: 978-3-540-35345-4

  • eBook Packages: Springer Book Archive

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