Poincaré Husimi representation of eigenstates in quantum billiards

Details Poincaré Husimi representation of eigenstates in quantum billiards Poincaré Husimi representation of eigenstates in quantum billiards

2003-07-21

arxiv.org/abs/nlin/0307035v1

Nonlinear Sciences

Chaotic Dynamics

17 pages, 5 figures. Figs. 1,2,5 are included in low resolution only. For a version with better resolution see http://www.ph

Scientific paper

10.1103/PhysRevE.70.036204

For the representation of eigenstates on a Poincar\'e section at the boundary of a billiard different variants have been proposed. We compare these Poincar\'e Husimi functions, discuss their properties and based on this select one particularly suited definition. For the mean behaviour of these Poincar\'e Husimi functions an asymptotic expression is derived, including a uniform approximation. We establish the relation between the Poincar\'e Husimi functions and the Husimi function in phase space from which a direct physical interpretation follows. Using this, a quantum ergodicity theorem for the Poincar\'e Husimi functions in the case of ergodic systems is shown.

Affiliated with

Also associated with

No associations

Rating

Poincaré Husimi representation of eigenstates in quantum billiards 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 Poincaré Husimi representation of eigenstates in quantum billiards, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Poincaré Husimi representation of eigenstates in quantum billiards will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-341294