authors
- IBORT LATRE, LUIS ALBERTO
- MAN'KO, V. I.
- MARMO, GIUSEPPE
- Simoni, A.
- STORNAIOLO, COSIMO
- Ventriglia, F
The quantum-to-classical transition: contraction of associative products
Articles
Overview
published in
- PHYSICA SCRIPTA Journal
publication date
- April 2016
issue
- 4
volume
- 91
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 0031-8949
Electronic International Standard Serial Number (EISSN)
- 1402-4896
abstract
- The quantum-to-classical transition is considered from the point of view of contractions of associative algebras. Various methods and ideas to deal with contractions of associative algebras are discussed that account for a large family of examples. As an instance of them, the commutative algebra of functions in phase space, corresponding to classical physical observables, is obtained as a contraction of the Moyal star-product which characterizes the quantum case. Contractions of associative algebras associated to Lie algebras are discussed, in particular the Weyl-Heisenberg and SU(2) groups are considered.
Classification
subjects
- Mathematics
keywords
- moyal product; classical-to-quantum transition; associative algebras contraction; commutation relations; star products; systems; tomography; duality