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Volumn 90, Issue 4, 1989, Pages 2242-2254

Semiclassical quantization of the scattering from a classically chaotic repellor

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EID: 36549094784     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.456018     Document Type: Article
Times cited : (176)

References (53)
  • 12
    • 0000770521 scopus 로고
    • Proc. R. Soc. London, Ser. A
    • (1987) , vol.413 , pp. 183
    • Berry, M.V.1
  • 24
    • 85034909204 scopus 로고    scopus 로고
    • In the case of stable periodic orbits, the hyperbolic sine function is replaced by the trigonometric sine function in Eq. (4.15). If the system contains nonisolated periodic orbits, as in quasiperiodic intergrable systems, the trace formula has a different representation than Eq. (4.15) (see Ref. 17).
  • 34
    • 85034892704 scopus 로고    scopus 로고
    • When the repellor becomes bulky, the bound (6.7) is not valid. Furthermore, the simple formula (5.8) determining the zeta function becomes more complicated, in particular, because the symbolic dynamics is more complicated (see Refs. 20 and 23).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.