An extension of the Duistermaat-Singer Theorem to the semi-classical Weyl algebra

Details An extension of the Duistermaat-Singer Theorem to the semi-classical Weyl algebra An extension of the Duistermaat-Singer Theorem to the semi-classical Weyl algebra

2009-02-18

arxiv.org/abs/0902.3084v1

Physics

Mathematical Physics

Scientific paper

Motivated by many recent works (by L. Charles, V. Guillemin, T. Paul, J. Sj\"ostrand, A. Uribe, S. Vu Ngoc, S. Zelditch and others) on the semi-classical Birkhoff normal forms, we investigate the structure of the group of automorphisms of the graded semi-classical Weyl algebra which is used to get the normal forms. The answer is quite similar to the Theorem of Duistermaat and Singer for the usual algebra of pseudo-differential operators where all automorphisms are given by conjugation by an elliptic Fourier Integral Operator (a FIO). Here what replaces general non-linear symplectic diffeomeorhisms is just linear complex symplectic maps, because everything is localized at a single point.

Affiliated with

Also associated with

No associations

Rating

An extension of the Duistermaat-Singer Theorem to the semi-classical Weyl algebra 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 An extension of the Duistermaat-Singer Theorem to the semi-classical Weyl algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An extension of the Duistermaat-Singer Theorem to the semi-classical Weyl algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-127990