Corpus ID: 18067065

Notes on Symplectic Analysis and Geometric Quantization

@inproceedings{Nair2009NotesOS,
  title={Notes on Symplectic Analysis and Geometric Quantization},
  author={V. P. Nair},
  year={2009}
}

References

SHOWING 1-10 OF 12 REFERENCES
For the discussion of symplectic structure and classical dynamics, see V.I. Arnold, Mathematical Methods of Classical Mechanics, SpringerVerlag
  • 1990
The quantization of the two-sphere and other Kähler G/H spaces is related to the Borel-Weil-Bott theory and the work of Kostant, Kirillov and Souriau; this is discussed in the books in reference 1
  • this context, see also A.M. Perelomov, Generalized Coherent States and Their Applications
  • 1996
A different proof of Darboux's theorem is outlined in R. Jackiw, Diverse Topics in Theoretical and Mathematical Physics
  • A different proof of Darboux's theorem is outlined in R. Jackiw, Diverse Topics in Theoretical and Mathematical Physics
  • 1995
The result g = 2 for anyons is in
  • Phys. Lett. B304
  • 1993
Geometric quantization of the Chern-Simons theory is discussed in more detail in
  • J. Diff. Geom
  • 1991
Applications in Physics and Mathematical Physics, World Scientific Pub
  • Co.
  • 1985
Coherent states are very useful in diverse areas of physics, see, for example
  • Coherent States: Applications in Physics and Mathematical Physics
  • 1985
Our treatment of the charged particle in a monopole field is closely related to the work of
  • Nucl. Phys. B162
  • 1980
Two general books on geometric quantization are: J.Sniatycki, Geometric Quantization and Quantum Mechanics
  • Two general books on geometric quantization are: J.Sniatycki, Geometric Quantization and Quantum Mechanics
  • 1980
If the spatial manifold is not simply connected one may have more vacuum angles; see, for example
  • 13. References to the θ-parameter have been given in Chapter 16
  • 1976
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