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arXiv · 1307.1785

Harmonic analysis on Lagrangian manifolds of integrable Hamiltonian systems

Julia Bernatska·Petro Holod
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Abstract

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.

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Julia Bernatska, Petro Holod. 2013-07-06. Harmonic analysis on Lagrangian manifolds of integrable Hamiltonian systems. https://doi.org/10.7546/jgsp-29-2013-39-51

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