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Volumn 10, Issue 1, 2000, Pages 195-210

Statistical properties of actions of periodic orbits

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EID: 0034147094     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166485     Document Type: Article
Times cited : (7)

References (41)
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    • edited by H. A. Carderia, R. Ramaswamy, M. C. Gutzwiller, and G. Casati World Scientific, Singapore
    • J. P. Keating, "The semiclassical sum rule and Riemann's zeta function," in Quantum Chaos, edited by H. A. Carderia, R. Ramaswamy, M. C. Gutzwiller, and G. Casati (World Scientific, Singapore, 1992), p. 28.
    • (1992) Quantum Chaos , pp. 28
    • Keating, J.P.1
  • 13
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    • The Riemann zeta function and quantum chaology
    • edited by G. Casati, I. Guarneri, and U. Smilansky North-Holland, Amsterdam
    • J. P. Keating, "The Riemann zeta function and quantum chaology," in Quantum Chaos, edited by G. Casati, I. Guarneri, and U. Smilansky (North-Holland, Amsterdam, 1993), p. 145.
    • (1993) Quantum Chaos , pp. 145
    • Keating, J.P.1
  • 20
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    • N. L. Balazs and A. Voros, Europhys. Lett. 4, 1089 (1987); Ann. Phys. (New York) 190, 1 (1989)
    • (1989) Ann. Phys. (New York) , vol.190 , pp. 1
  • 26
    • 85037770590 scopus 로고    scopus 로고
    • note
    • First, we tried to estimate the semiclassical trace by the resummation method of Gutzwiller. However, in the semiclassical limit, Gutzwiller's method fails. Then we changed the plan. See Appendix B in details.
  • 29
    • 0001429903 scopus 로고
    • I. Pecival and F. Vivaldi, Physica D 27, 373 (1987); N. Bird and F. Vivaldi, ibid. 30, 164 (1988).
    • (1987) Physica D , vol.27 , pp. 373
    • Pecival, I.1    Vivaldi, F.2
  • 30
    • 0001527183 scopus 로고
    • I. Pecival and F. Vivaldi, Physica D 27, 373 (1987); N. Bird and F. Vivaldi, ibid. 30, 164 (1988).
    • (1988) Physica D , vol.30 , pp. 164
    • Bird, N.1    Vivaldi, F.2
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    • J. P. Keating, Nonlinearity 4, 277 (1991); 4, 309 (1991).
    • (1991) Nonlinearity , vol.4 , pp. 309
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    • Brandeis University Summer Institute in Theoretical Physics, Gordon and Breach, New York
    • M. Kac, in Statistical Physics: Phase Transitions and Superfluidity, Brandeis University Summer Institute in Theoretical Physics, 1966 (Gordon and Breach, New York, 1968), Vol. 1, pp. 241-305.
    • (1966) Statistical Physics: Phase Transitions and Superfluidity , vol.1 , pp. 241-305
    • Kac, M.1
  • 41
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    • note
    • For numerical calculation, REISPACK and GRAPHYS were used. REISPACK and GRAPHYS were written by Dr. S. Adachi.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.