Twisted Crossed Products and Magnetic Pseudodifferential Operators
| dc.creator | Mantoiu, Marius | |
| dc.creator | Purice, Radu | |
| dc.creator | Richard, Serge | |
| dc.date | 2004-03-11 | |
| dc.date.accessioned | 2026-07-07T04:31:00Z | |
| dc.date.available | 2026-07-07T04:31:00Z | |
| dc.description | 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. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0403016 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0403016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57667 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Primary: 35S05, 47A60, 46L55; Secondary: 81R15, 81Q10 | |
| dc.title | Twisted Crossed Products and Magnetic Pseudodifferential Operators | |
| dc.type | text |