Uniqueness of Segal quantization for oscillating systems
Mathematical Physics
2018-12-12 v1 High Energy Physics - Theory
math.MP
Abstract
We show that the Segal quantization of an arbitrary system of decoupled harmonic oscillators is unique in the sense that the one particle Hilbert space is completely determined by the requests of being a naturally complex symplectic space carrying a unitary realization of the dynamical evolution of the considered system.
Cite
@article{arxiv.1812.04551,
title = {Uniqueness of Segal quantization for oscillating systems},
author = {Massimo Bertini and Sergio Cacciatori and Manuel Falchi Perna},
journal= {arXiv preprint arXiv:1812.04551},
year = {2018}
}
Comments
13 pages