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Volumn 66, Issue 1, 2002, Pages

Quantum modes on chaotic motion: Analytically exact results

Author keywords

[No Author keywords available]

Indexed keywords

BACTERIA; BROWNIAN MOVEMENT; DAMPING; DIFFUSION; POLYMERS; PROTEINS;

EID: 41349118276     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.016216     Document Type: Article
Times cited : (20)

References (31)
  • 1
    • 85036206535 scopus 로고    scopus 로고
    • E. Ott, Chaos in Dynamical Systems (Cambridge University, New York, 1993)
    • E. Ott, Chaos in Dynamical Systems (Cambridge University, New York, 1993).
  • 2
    • 85036263863 scopus 로고    scopus 로고
    • J.R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University, New York, 1999)
    • J.R. Dorfman, An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge University, New York, 1999).
  • 4
    • 85036141061 scopus 로고    scopus 로고
    • M.C. Gutzwiller, Chaos in Classical and Quantum Physics (Springer-Verlag, New York, 1990)
    • M.C. Gutzwiller, Chaos in Classical and Quantum Physics (Springer-Verlag, New York, 1990).
  • 13
    • 85036436582 scopus 로고    scopus 로고
    • P. Deift, Orthogonal Polynomials and Random Matrices A Riemann-Hilbert Approach, Courant Lecture Notes in Mathematics, Vol. 3 (American Mathematical Society, Providence, Rhode Island, 2000)
    • P. Deift, Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach, Courant Lecture Notes in Mathematics, Vol. 3 (American Mathematical Society, Providence, Rhode Island, 2000).
  • 14
    • 85036247041 scopus 로고    scopus 로고
    • M.L. Mehta, Random Matrices, 2nd ed. (Academic, London, 1991)
    • M.L. Mehta, Random Matrices, 2nd ed. (Academic, London, 1991).
  • 25
    • 85036379716 scopus 로고    scopus 로고
    • Occurrences of the latter case are systematically checked in our code and the corresponding trajectories are discarded
    • Occurrences of the latter case are systematically checked in our code and the corresponding trajectories are discarded.
  • 26
    • 85036163679 scopus 로고    scopus 로고
    • From a numerical point of view, one should mention that the present trajectory alone can be followed up to time (Formula presented) without trouble and also that at (Formula presented), the symplectic structure has been preserved better than (Formula presented) (relative). Of course, these behaviors are not qualitatively modified on changing either initial conditions or energy
    • From a numerical point of view, one should mention that the present trajectory alone can be followed up to time (Formula presented) without trouble and also that at (Formula presented), the symplectic structure has been preserved better than (Formula presented) (relative). Of course, these behaviors are not qualitatively modified on changing either initial conditions or energy.
  • 27
    • 85036169863 scopus 로고    scopus 로고
    • More precisely, trajectories having initial conditions in the two largest areas will perform the collision (backward in time) before returning to PSOS, whereas other areas are images of these largest areas by the Poincaré map (backward in time)
    • More precisely, trajectories having initial conditions in the two largest areas will perform the collision (backward in time) before returning to PSOS, whereas other areas are images of these largest areas by the Poincaré map (backward in time).
  • 30
    • 85036367852 scopus 로고    scopus 로고
    • (Formula presented)
    • (Formula presented)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.