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Volumn 60, Issue 1, 1999, Pages 408-415

Distribution of Husimi zeros in polygonal billiards

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0004073155     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.408     Document Type: Article
Times cited : (20)

References (34)
  • 2
    • 85036157006 scopus 로고    scopus 로고
    • P. Leboeuf and A. Voros, in Quantum Chaos: Between order and disorder, edited by G. Casati and B. V. Chirikov (Cambridge University Press, Cambridge, England, 1995), p. 507
    • P. Leboeuf and A. Voros, in Quantum Chaos: Between order and disorder, edited by G. Casati and B. V. Chirikov (Cambridge University Press, Cambridge, England, 1995), p. 507.
  • 10
    • 85036176933 scopus 로고    scopus 로고
    • More recently, Nonnenmacher and Voros 11 have rigorously established that the semiclassical convergence of the Husimi densities towards the uniform ergodic measure implies the equidistribution of the corresponding zeros over the phase space in the classical limit
    • More recently, Nonnenmacher and Voros 11 have rigorously established that the semiclassical convergence of the Husimi densities towards the uniform ergodic measure implies the equidistribution of the corresponding zeros over the phase space in the classical limit.
  • 13
    • 85036255536 scopus 로고    scopus 로고
    • P. Leboeuf, e-print chao-dyn/9901019.
    • Leboeuf, P.1
  • 18
    • 85036415578 scopus 로고    scopus 로고
    • 17, Hannay has derived a general expression for the k-point correlation function
    • In 17, Hannay has derived a general expression for the k-point correlation function.
  • 24
    • 36749114717 scopus 로고
    • Irrational billiards are conjectured to be ergodic—see, for example, A. Hobson, J. Math. Phys. 16, 2210 (1976)
    • (1976) J. Math. Phys. , vol.16 , pp. 2210
    • Hobson, A.1
  • 26
    • 85036283874 scopus 로고    scopus 로고
    • For computational purposes, irrational polygons are systems with high genus
    • For computational purposes, irrational polygons are systems with high genus.
  • 27
    • 85036270900 scopus 로고    scopus 로고
    • P. A. Boasman, Ph.D. thesis, University of Bristol, U.K., 1992 (unpublished)
    • P. A. Boasman, Ph.D. thesis, University of Bristol, U.K., 1992 (unpublished).
  • 34
    • 85036150440 scopus 로고    scopus 로고
    • Note that in Figs. 1111 and 1313, no attempt has been made to separate the zeros close to and far away from the real axis for either the RAF result on (Formula presented) or the polygonal billiard results on (Formula presented) and (Formula presented). The effect of nonuniformity has, however, been found to be small for the number of zeros considered
    • Note that in Figs. 1111 and 1313, no attempt has been made to separate the zeros close to and far away from the real axis for either the RAF result on (Formula presented) or the polygonal billiard results on (Formula presented) and (Formula presented). The effect of nonuniformity has, however, been found to be small for the number of zeros considered.


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