Approximations by graphs and emergence of global structures

Details Approximations by graphs and emergence of global structures Approximations by graphs and emergence of global structures

2005-08-30

arxiv.org/abs/quant-ph/0508226v1

Rep. Math. Phys. 57 (2006), 445-455

Physics

Quantum Physics

6 pages, RevTeX with 5 ps figures

Scientific paper

10.1016/S0034-4877(06)80031-5

We study approximations of billiard systems by lattice graphs. It is demonstrated that under natural assumptions the graph wavefunctions approximate solutions of the Schroedinger equation with energy rescaled by the billiard dimension. As an example, we analyze a Sinai billiard with attached leads. The results illustrate emergence of global structures in large quantum graphs and offer interesting comparisons with patterns observed in complex networks of a different nature.

Affiliated with

Also associated with

No associations

Rating

Approximations by graphs and emergence of global structures 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 Approximations by graphs and emergence of global structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Approximations by graphs and emergence of global structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-21041