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Volumn 66, Issue 3, 2002, Pages

Quantum multibaker maps: Extreme quantum regime

Author keywords

[No Author keywords available]

Indexed keywords

QUANTUM CHAOS; QUANTUM MULTIBAKER (QMB) MAPS; QUANTUM REGIME; RANDOM WALKS;

EID: 41349107544     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.036110     Document Type: Article
Times cited : (13)

References (37)
  • 1
    • 85036269875 scopus 로고    scopus 로고
    • M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990)
    • M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990).
  • 2
    • 85036432711 scopus 로고    scopus 로고
    • H.J. Stöckmann, Quantum Chaos. An Introduction (Cambridge University Press, Cambridge, 1999)
    • H.J. Stöckmann, Quantum Chaos. An Introduction (Cambridge University Press, Cambridge, 1999).
  • 3
    • 85036313762 scopus 로고    scopus 로고
    • F. Haake, Quantum Signatures of Chaos, 2nd ed. (Springer Verlag, Berlin, 2001)
    • F. Haake, Quantum Signatures of Chaos, 2nd ed. (Springer Verlag, Berlin, 2001).
  • 4
    • 85036218165 scopus 로고    scopus 로고
    • P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, 1998)
    • P. Gaspard, Chaos, Scattering and Statistical Mechanics (Cambridge University Press, Cambridge, 1998).
  • 18
    • 85036426979 scopus 로고    scopus 로고
    • T. Tél and J. Vollmer, in Hard Ball Systems and the Lorentz Gas, edited by D. Szász, Vol. 101 of Encyclopaedia of Mathematical Sciences (Springer Verlag, Berlin, 2000), pp. 369–418
    • T. Tél and J. Vollmer, in Hard Ball Systems and the Lorentz Gas, edited by D. Szász, Vol. 101 of Encyclopaedia of Mathematical Sciences (Springer Verlag, Berlin, 2000), pp. 369–418.
  • 21
    • 85036250663 scopus 로고    scopus 로고
    • D.K. Wójcik and J. R. Dorfman (unpublished)
    • D.K. Wójcik and J. R. Dorfman (unpublished).
  • 28
    • 85036194289 scopus 로고    scopus 로고
    • P. Gaspard has suggested that the phases used here may be thought of as resulting from vector potentials produced by thin solenoids, which modify the phases of the wave functions through Bohm-Aharonov loops
    • P. Gaspard has suggested that the phases used here may be thought of as resulting from vector potentials produced by thin solenoids, which modify the phases of the wave functions through Bohm-Aharonov loops.
  • 30
    • 85036399058 scopus 로고    scopus 로고
    • J.R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, 1999)
    • J.R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University Press, Cambridge, 1999).
  • 31
    • 85036193628 scopus 로고    scopus 로고
    • C.M. Bender and S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978), Chap. 7, p. 319
    • C.M. Bender and S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978), Chap. 7, p. 319.
  • 32
    • 85036233050 scopus 로고    scopus 로고
    • Remaining values (Formula presented) lead to (Formula presented) which gives the same (Formula presented) and thus they are discarded
    • Remaining values (Formula presented) lead to (Formula presented) which gives the same (Formula presented) and thus they are discarded.
  • 33
    • 85036411046 scopus 로고    scopus 로고
    • P. Gaspard (private communication)
    • P. Gaspard (private communication).
  • 34
    • 85036363723 scopus 로고    scopus 로고
    • A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices in Statistical Physics, Vol. 104 of Springer Series in Solid-State Sciences (Springer, New York, 1993)
    • A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices in Statistical Physics, Vol. 104 of Springer Series in Solid-State Sciences (Springer, New York, 1993).
  • 35
    • 85036402770 scopus 로고    scopus 로고
    • The authors are grateful to J. Vollmer for making this nice observation
    • The authors are grateful to J. Vollmer for making this nice observation.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.