Binary operations in classical and quantum mechanics

Details Binary operations in classical and quantum mechanics Binary operations in classical and quantum mechanics

2002-01-10

arxiv.org/abs/math/0201089v1

in: Classical and Quantum Integrability, J. Grabowski and P. Urbanski (eds.), Banach Center Publ. 59 (2003), 163-172

Mathematics

Differential Geometry

10 pages, conference Classical and Quantum Integrability, Warszawa, 27-30 August, 2001

Scientific paper

Binary operations on algebras of observables are studied in the quantum as well as in the classical case. It is shown that certain natural compatibility conditions with the associative product imply the properties which usually are additionally required. In particular, it is proved that locality of a Loday bracket on sections of a one-dimensional vector bundle forces skew-symmetry, i.e. a local Lie algebra structure in the sense of A.A.Kirillov.

Affiliated with

Also associated with

No associations

Rating

Binary operations in classical and quantum mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Binary operations in classical and quantum mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Binary operations in classical and quantum mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-201334