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Volumn 40, Issue 1, 1999, Pages 101-122

Isolated versus nonisolated periodic orbits in variants of the two-dimensional square and circular billiards

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EID: 0033477076     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532762     Document Type: Article
Times cited : (18)

References (26)
  • 2
    • 0004176653 scopus 로고    scopus 로고
    • Addison-Wesley, Reading
    • For a recent and very readable review of semiclassical methods, including periodic orbit theory, see M. Brack and R. K. Bhaduri, Semiclassical Physics (Addison-Wesley, Reading, 1997).
    • (1997) Semiclassical Physics
    • Brack, M.1    Bhaduri, R.K.2
  • 3
    • 0031488203 scopus 로고    scopus 로고
    • and many references therein
    • For an elementary review of these systems see R. W. Robinett, Am. J. Phys. 65, 1167-1175 (1997), and many references therein.
    • (1997) Am. J. Phys. , vol.65 , pp. 1167-1175
    • Robinett, R.W.1
  • 5
    • 26144456693 scopus 로고
    • S. W. Macdonald and A. N. Kaufman, Phys. Rev. Lett. 42, 1189 (1979); Phys. Rev. A 37, 3067-3086 (1988).
    • (1988) Phys. Rev. A , vol.37 , pp. 3067-3086
  • 9
    • 84927896522 scopus 로고
    • Y. Sinai, Russ. Math. Surv. 25, 137-189 (1970); Usp. Mat. Nauk 25, 141-192 (1970).
    • (1970) Russ. Math. Surv. , vol.25 , pp. 137-189
    • Sinai, Y.1
  • 10
    • 84927896522 scopus 로고
    • Y. Sinai, Russ. Math. Surv. 25, 137-189 (1970); Usp. Mat. Nauk 25, 141-192 (1970).
    • (1970) Usp. Mat. Nauk , vol.25 , pp. 141-192
  • 17
    • 85034140378 scopus 로고    scopus 로고
    • Periodic orbit theory analysis of the circular disk or annular billiard: Nonclassical effects and the distribution of energy eigenvalues
    • to be published
    • min/R=0.0 or 0.866, so that "cuts" on the \m\/a values used in the evaluation of Eq. (3) centered around these values will enhance the features in ρ(L) at L/R = 4.0,8.0,12.0 or 6.0,12.0, respectively.
    • Am. J. Phys.
    • Robinett, R.W.1
  • 23
    • 0038047198 scopus 로고
    • I. R. Lapidus, Am. J. Phys. 55, 172-174 (1987); see also S. T. Epstein, ibid. 28, 495-496 (1959).
    • (1987) Am. J. Phys. , vol.55 , pp. 172-174
    • Lapidus, I.R.1
  • 24
    • 0040676448 scopus 로고
    • I. R. Lapidus, Am. J. Phys. 55, 172-174 (1987); see also S. T. Epstein, ibid. 28, 495-496 (1959).
    • (1959) Am. J. Phys. , vol.28 , pp. 495-496
    • Epstein, S.T.1
  • 25
    • 85034133580 scopus 로고    scopus 로고
    • See Ref. 18, pp. 237-239
    • See Ref. 18, pp. 237-239.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.