Translator Disclaimer
VOL. 14 | 2013 Harmonic Analysis on Lagrangian Manifolds of Integrable Hamiltonian Systems
Julia Bernatska, Petro Holod

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

## 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 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.

## Information

Published: 1 January 2013
First available in Project Euclid: 13 July 2015

zbMATH: 1351.37218
MathSciNet: MR3183930

Digital Object Identifier: 10.7546/giq-14-2013-61-73