article · Physical Review Letters · 2003

Intermediate Wave Function Statistics

Gregory Berkolaiko, J. P. Keating, Brian Winn

Cited by 32Open access

Abstract

We calculate statistical properties of the eigenfunctions of two quantum systems that exhibit intermediate spectral statistics: star graphs and Seba billiards. First, we show that these eigenfunctions are not quantum ergodic, and calculate the corresponding limit distribution. Second, we find that they can be strongly scarred, in the case of star graphs by short (unstable) periodic orbits and, in the case of Seba billiards, by certain families of orbits. We construct sequences of states which have such a limit. Our results are illustrated by numerical computations.

Cite this paper

APA 7

Berkolaiko, G., Keating, J. P., & Winn, B. (2003). Intermediate Wave Function Statistics. Physical Review Letters, 91(13), 134103. https://doi.org/10.1103/physrevlett.91.134103

MLA 9

Berkolaiko, Gregory, et al. “Intermediate Wave Function Statistics.” Physical Review Letters, vol. 91, no. 13, 2003, p. 134103, https://doi.org/10.1103/physrevlett.91.134103.

Chicago

Berkolaiko, Gregory, J. P. Keating, and Brian Winn. 2003. “Intermediate Wave Function Statistics.” Physical Review Letters 91 (13): 134103. https://doi.org/10.1103/physrevlett.91.134103.

Harvard

Berkolaiko, G., Keating, J.P. and Winn, B. (2003) ‘Intermediate Wave Function Statistics’, Physical Review Letters, 91(13), p. 134103. Available at: https://doi.org/10.1103/physrevlett.91.134103.

BibTeX

@article{berkolaiko2003intermediate,
  title = {{Intermediate Wave Function Statistics}},
  author = {Berkolaiko, Gregory and Keating, J. P. and Winn, Brian},
  journal = {Physical Review Letters},
  volume = {91},
  number = {13},
  pages = {134103},
  year = {2003},
  doi = {10.1103/physrevlett.91.134103}
}

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