Twisted Crossed Products and Magnetic Pseudodifferential Operators

Details Twisted Crossed Products and Magnetic Pseudodifferential Operators Twisted Crossed Products and Magnetic Pseudodifferential Operators

2004-03-11

arxiv.org/abs/math-ph/0403016v1

Physics

Mathematical Physics

27 pages

Scientific paper

There is a connection between the Weyl pseudodifferential calculus and crossed product C*-algebras associated with certain dynamical systems. And in fact both topics are involved in the quantization of a non-relativistic particle moving in R^n. Our paper studies the situation in which a variable magnetic field is also present. The Weyl calculus has to be modified, giving a functional calculus for a family of operators (positions and magnetic momenta) with highly non-trivial commutation relations. On the algebraic side, the dynamical system is twisted by a cocyle defined by the flux of the magnetic field, leading thus to twisted crossed products. We outline the interplay between the modified pseudodifferential setting and the C*-algebraic formalism at an abstract level as well as in connection with magnetic field.

Affiliated with

Also associated with

No associations

Rating

Twisted Crossed Products and Magnetic Pseudodifferential Operators 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 Twisted Crossed Products and Magnetic Pseudodifferential Operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisted Crossed Products and Magnetic Pseudodifferential Operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452457