Berezin quantization and unitary representations of Lie groups

@inproceedings{BarMoshe1994BerezinQA,
  title={Berezin quantization and unitary representations of Lie groups},
  author={D. Bar-Moshe and M. S. Marinov},
  year={1994}
}
In 1974, Berezin proposed a quantum theory for dynamical systems having a Kähler manifold as their phase space. The system states were represented by holomorphic functions on the manifold. For any homogeneous Kähler manifold, the Lie algebra of its group of motions may be represented either by holomorphic differential operators (“quantum theory”), or by functions on the manifold with Poisson brackets, generated by the Kähler structure (“classical theory”). The Kähler potentials and the… CONTINUE READING
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