Tuesday, July 9, 2013

1307.1785 (Julia Bernatska et al.)

Harmonic analysis on Lagrangian manifolds of integrable Hamiltonian

Julia Bernatska, Petro Holod
For an integrable Hamiltonian system we construct a representation of the phase space symmetry algebra over the space of functions on a Lagrangian manifold. The representation is a result of the canonical quantization of the integrable system in terms of separation variables. The variables are chosen in such way that a half of them parameterizes the Lagrangian manifold, which coincides with the Liouville torus of the integrable system. The obtained representation is indecomposable and non-exponentiated.
View original: http://arxiv.org/abs/1307.1785

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