# Notes on Symplectic Analysis and Geometric Quantization

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

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#### 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