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Determination of a polarization by nonlinear scattering, and examples of the resulting quantization

  • Part II Quantization Procedures
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Non-linear Partial Differential Operators and Quantization Procedures

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1037))

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References

  1. S. Paneitz, "Unitarization of Symplectics and Stability for Causal Differential Equations in Hilbert Space", J. Func. Anal., vol. 41, no. 3 (1981), pp. 315–326

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  2. S. Paneitz, "Torsion of Almost Complex Structures Determined by Symplectic Transformations", Working paper, 1982

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  3. S. Paneitz and I.E. Segal, "Quantization of Wave Equations and Hermitian Structures in Partial Differential Varieties", Proc. Nat. Acad. Sci., 77, no. 12 (December 1980), pp. 6943–6947

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  4. M. Reed and B. Simon, "Methods of Modern Mathematical Physics", Vol. II, Fourier Analysis, Self-Adjointness, Academic Press, New York, 1975

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  5. I.E. Segal, "Field Quantization", Physica Scripta, vol. 24, no. 5, p. 827

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  6. J. Śniatycki, "Geometric Quantization and Quantum Mechanics", Applied Mathematical Sciences, vol. 30, Springer-Verlag, New York, 1980

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  7. S. Paneitz, "Essential Unitarization of Symplectics, and Applications to Field Quantization", submitted for publication, 1981.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, CA

    Stephen M. Paneitz

Authors
  1. Stephen M. Paneitz
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Technische Universität Clausthal, 3392, Clausthal-Zellerfeld, Federal Republic of Germany

    Stig I. Andersson  & Heinz-Dietrich Doebner  & 

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© 1983 Springer-Verlag Berlin Heidelberg

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Paneitz, S.M. (1983). Determination of a polarization by nonlinear scattering, and examples of the resulting quantization. In: Andersson, S.I., Doebner, HD. (eds) Non-linear Partial Differential Operators and Quantization Procedures. Lecture Notes in Mathematics, vol 1037. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073177

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  • DOI: https://doi.org/10.1007/BFb0073177

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12710-9

  • Online ISBN: 978-3-540-38695-7

  • eBook Packages: Springer Book Archive

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