Formal Series of Generalised Functions and Their Application to Deformation Quantisation
Quantum Physics
2019-02-08 v3 Mathematical Physics
math.MP
Abstract
Foundations of the formal series -- calculus in deformation quantisation are discussed. Several classes of continuous linear functionals over algebras applied in classical and quantum physics are introduced. The notion of nonnegativity in formal series calculus is proposed. Problems with defining quantum states over the set of formal series are analysed.
Keywords
Cite
@article{arxiv.1609.06992,
title = {Formal Series of Generalised Functions and Their Application to Deformation Quantisation},
author = {Jaromir Tosiek and Michał Dobrski},
journal= {arXiv preprint arXiv:1609.06992},
year = {2019}
}
Comments
23 pages, some explanation has been added