Analysis on q-deformed quantum spaces

Details Analysis on q-deformed quantum spaces Analysis on q-deformed quantum spaces

2006-04-13

arxiv.org/abs/math-ph/0604028v1

Physics

Mathematical Physics

Latex, 94 pages, 4 figures

Scientific paper

10.1142/S0217751X07034155

A q-deformed version of classical analysis is given to quantum spaces of physical importance, i.e. Manin plane, q-deformed Euclidean space in three or four dimensions, and q-deformed Minkowski space. The subject is presented in a rather complete and selfcontained way. All relevant notions are introduced and explained in detail. The different possibilities to realize the objects of q-deformed analysis are discussed and their elementary properties are studied. In this manner attention is focused on star products, q-deformed tensor products, q-deformed translations, q-deformed partial derivatives, dual pairings, q-deformed exponentials, and q-deformed integration. The main concern of this work is to show that these objects fit together in a consistent framework, which is suitable to formulate physical theories on quantum spaces.

Affiliated with

Also associated with

No associations

Rating

Analysis on q-deformed quantum spaces 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 Analysis on q-deformed quantum spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analysis on q-deformed quantum spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-515088