Skip to main content

The quantization of symmetric spaces and its applications

  • E. Symplectic Geometry and Quantization
  • Conference paper
  • First Online:
The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function

Part of the book series: Lecture Notes in Physics ((LNP,volume 278))

  • 758 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. F.A.Berezin, Quantization in Complex Symmetric Spaces, Math. U.S.S.R.Izvestija 9 (1975), 341–379.

    Article  ADS  MATH  Google Scholar 

  2. S.Sternberg, Chronogeometry and Symplectic Geometry, Coll. Intern.CNRS 237 (1975), Paris, 45–57.

    MATH  Google Scholar 

  3. A.Unterberger, Quantification de certains espaces hermitiens symétriques, Séminaire Goulaouic-Schwartz 1979-80, Ecole Polytechnique, Paris.

    MATH  Google Scholar 

  4. A. Unterberger, Symbolic Calculi and the Duality of Homogeneous Spaces, Contemporary Mathematics 27 (1984), 237–252.

    Article  MathSciNet  MATH  Google Scholar 

  5. A. Unterberger, The calculus of pseudo-differential operators of Fuchs type, Come. in Part. Diff. Equ. 9(12), (1984), 1179–1236.

    Article  MATH  Google Scholar 

  6. A. and J. Unterberger, A quantization of the Cartan Daaain BD I (q = 2) and Operators on the Light-Cone, to appear in J. Funct. Anal.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Y. S. Kim W. W. Zachary

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Unterberger, A. (1987). The quantization of symmetric spaces and its applications. In: Kim, Y.S., Zachary, W.W. (eds) The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function. Lecture Notes in Physics, vol 278. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17894-5_392

Download citation

  • DOI: https://doi.org/10.1007/3-540-17894-5_392

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17894-1

  • Online ISBN: 978-3-540-47901-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics