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Volumn 66, Issue 1, 2002, Pages

Crossover from regular to irregular behavior in current flow through open billiards

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; NETWORKS (CIRCUITS); RANDOM PROCESSES; RESONANCE; SIGNAL PROCESSING; SPURIOUS SIGNAL NOISE;

EID: 37649026602     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.016218     Document Type: Article
Times cited : (35)

References (36)
  • 1
    • 85036430192 scopus 로고    scopus 로고
    • See, e.g., H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, U.K., 1999), and references cited therein
    • See, e.g., H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, U.K., 1999), and references cited therein.
  • 2
    • 85036304858 scopus 로고    scopus 로고
    • J.H. Davies, The Physics of Low-Dimesional Structures (Cambridge University Press, Cambridge, U.K., 1998)
    • J.H. Davies, The Physics of Low-Dimesional Structures (Cambridge University Press, Cambridge, U.K., 1998).
  • 5
    • 85036430029 scopus 로고    scopus 로고
    • Noncrossing nodal lines may also be found in, for example, a regular square two-dimensional billiard by a suitable linear combination of degenerate solutions. Therefore noncrossing would not be a consequence of chaos. [See, e.g., M. Berry, in Chaotic Behavior of Deterministic Systems, Les Houches Summer Shool in Theoretical Physics, 1981, edited by G. Iooss, R.H.G. Helleman, and R. Stora (North-Holland, Amsterdam, 1983)]. However, a basic property of nonintegrable systems, like the Sinai billiard, is that states are nondegenerate and the associated nodal pattern is undirectional and disordered as well as self-avoiding. In contrast to the square, for example, there is no simple linear transformation among degenerate states that would restore a regular pattern of crossing nodal lines
    • Noncrossing nodal lines may also be found in, for example, a regular square two-dimensional billiard by a suitable linear combination of degenerate solutions. Therefore noncrossing would not be a consequence of chaos. [See, e.g., M. Berry, in Chaotic Behavior of Deterministic Systems, Les Houches Summer Shool in Theoretical Physics, 1981, edited by G. Iooss, R.H.G. Helleman, and R. Stora (North-Holland, Amsterdam, 1983)]. However, a basic property of nonintegrable systems, like the Sinai billiard, is that states are nondegenerate and the associated nodal pattern is undirectional and disordered as well as self-avoiding. In contrast to the square, for example, there is no simple linear transformation among degenerate states that would restore a regular pattern of crossing nodal lines.
  • 15
    • 85036392901 scopus 로고    scopus 로고
    • M. V. Berry, in Physics of Defects, edited by R. Balian et al. (North-Holland, Amsterdam, 1981)
    • M. V. Berry, in Physics of Defects, edited by R. Balian et al. (North-Holland, Amsterdam, 1981).
  • 16
    • 85036332805 scopus 로고    scopus 로고
    • B.I. Halperin, in Physics of Defects (Ref. 14
    • B.I. Halperin, in Physics of Defects (Ref. 14).
  • 20
    • 85036374306 scopus 로고    scopus 로고
    • M. Barth, Ph.D. thesis, Fachbereich Physik der Philipps-Universität Marburg, Marburg/Lahn, 2001
    • M. Barth, Ph.D. thesis, Fachbereich Physik der Philipps-Universität Marburg, Marburg/Lahn, 2001.
  • 27
    • 0037023652 scopus 로고    scopus 로고
    • Recently Berry has considered perimeter corrections for mean density of nodal points, fluctuations, and curvatures: M.V. Berry, J. Phys. A 35, 3025 (2002).
    • (2002) J. Phys. A , vol.35 , pp. 3025
    • Berry, M.V.1
  • 29
    • 85036224572 scopus 로고    scopus 로고
    • C.W. Beenakker and H. van Houten, in Solid State Physics Quantum Transport in Semiconductor Nanostructures, edited by H. Ehrenreich and D. Turnbull (Academic Press, New York, 1991), Vol. 44
    • C.W. Beenakker and H. van Houten, in Solid State Physics Quantum Transport in Semiconductor Nanostructures, edited by H. Ehrenreich and D. Turnbull (Academic Press, New York, 1991), Vol. 44.
  • 30
    • 85036236775 scopus 로고    scopus 로고
    • J. Baggott, The Meaning of Quantum Theory (Oxford University Press, Oxford, 1993)
    • J. Baggott, The Meaning of Quantum Theory (Oxford University Press, Oxford, 1993).
  • 31
    • 85036261961 scopus 로고    scopus 로고
    • M. Brack and R.K. Badhuri, Semiclassical Physics (Addison-Wesley, Reading, MA, 1997)
    • M. Brack and R.K. Badhuri, Semiclassical Physics (Addison-Wesley, Reading, MA, 1997).
  • 34
    • 85036360414 scopus 로고    scopus 로고
    • See, for example, F.J. Fahy, Sound Intensity, 2nd ed. (E & FN Spoon, London, 1995)
    • See, for example, F.J. Fahy, Sound Intensity, 2nd ed. (E & FN Spoon, London, 1995).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.