Open Access
2013 Harmonic Analysis on Lagrangian Manifolds of Integrable Hamiltonian Systems
Julia Bernatska, Petro Holod
J. Geom. Symmetry Phys. 29: 39-51 (2013). DOI: 10.7546/jgsp-29-2013-39-51


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 using separating variables. The variables are chosen in such way that 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. "Harmonic Analysis on Lagrangian Manifolds of Integrable Hamiltonian Systems." J. Geom. Symmetry Phys. 29 39 - 51, 2013.


Published: 2013
First available in Project Euclid: 26 May 2017

zbMATH: 1351.37218
MathSciNet: MR3113557
Digital Object Identifier: 10.7546/jgsp-29-2013-39-51

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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