English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Partial Weyl law for billiards

MPS-Authors
/persons/resource/persons184327

Backer,  A.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons184641

Ketzmerick,  R.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons184723

Lock,  S.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons184923

Schanz,  H.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource
No external resources are shared
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Backer, A., Ketzmerick, R., Lock, S., & Schanz, H. (2011). Partial Weyl law for billiards. EPL, 94(3): 30004.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0029-8D09-8
Abstract
For two-dimensional quantum billiards we derive the partial Weyl law, i.e. the average density of states, for a subset of eigenstates concentrating on an invariant region G of phase space. The leading term is proportional to the area of the billiard times the phase-space fraction of G. The boundary term is proportional to the fraction of the boundary where parallel trajectories belong to G. Our result is numerically confirmed for the mushroom billiard and the generic cosine billiard, where we count the number of chaotic and regular states, and for the elliptical billiard, where we consider rotating and oscillating states. Copyright (C) EPLA, 2011