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Bohr-Sommerfeld orbits and quantizable symplectic manifolds

Published online by Cambridge University Press:  24 October 2008

D. J. Simms
D. J. Simms
Affiliation:
Trinity College, Dublin
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Extract

The phase space of a finite dimensional classical Hamiltonian system is a C∞ differentiable manifold M which carries a C∞ differential 2-form ω which is closed, dω = 0, and non-singular in the sense that there is a bijective map α→ Xα from covariant vector fields to contravariant vector fields satisfying the identity

Such a pair (M, μ) is called a symplectic manifold.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 73 , Issue 3 , May 1973 , pp. 489 - 491
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

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