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Volumn 54, Issue 4, 1996, Pages 2607-2628

Quantum scars of classical orbits in small interacting electronic systems

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EID: 0004422866     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.54.2607     Document Type: Article
Times cited : (11)

References (68)
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    • 18444380929 scopus 로고
    • Quantum Chaos and Statistical Nuclear Physics, edited by T. H. Seligman and H. Nishioka, Lecture Notes in Physics Vol. 263 (Springer, Berlin, 1986), p. 162
    • E. J. Heller, Phys. Rev. Lett. 53, 1515 (1984); Quantum Chaos and Statistical Nuclear Physics, edited by T. H. Seligman and H. Nishioka, Lecture Notes in Physics Vol. 263 (Springer, Berlin, 1986), p. 162.
    • (1984) Phys. Rev. Lett. , vol.53 , pp. 1515
    • Heller, E.1
  • 8
    • 0001035040 scopus 로고
    • The "ergodic" distribution of the wave functions of chaotic systems is always reached when the energy is sufficiently high. This was proved by A. I. Shnirelman [Usp. Mat. Nauk. 29, 181 (1974)] and Y. Colin de Verdière [Commun. Math. Phys. 102, 497 (1985)]. However, it seems to happen very slowly, see B. Eckhardt, S. Fishman, J. Keating, O. Agam, J. Main and K. Müller, Phys. Rev. E 52, 5893 (1995).
    • (1974) Usp. Mat. Nauk. , vol.29 , pp. 181
  • 34
    • 4243450701 scopus 로고
    • This was proved by W. Kohn [Phys. Rev. Lett. 51, 1596 (1983)] for the discrete version of the Schrödinger equation, and within first-order perturbation theory for the continuous case.
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 1596
  • 35
    • 85032069152 scopus 로고
    • For a review on the electronic properties of two-dimensional systems see T. Ando, A. B. Fowler and F. Stern, Rev. Mod. Phys. 54, 437 (1982).
    • (1982) Rev. Mod. Phys. , vol.54 , pp. 437
    • Ando, T.1    Fowler, A.2    Stern, F.3
  • 36
    • 0001742376 scopus 로고
    • A self-consistent calculation that takes this effect into consideration is presented in K. Lier and R. R. Gerhardts, Phys. Rev. B 48, 14t416 (1993).
    • (1993) Phys. Rev. B , vol.48 , pp. 14416
    • Lier, K.1    Gerhardts, R.2
  • 44
    • 84913467405 scopus 로고
    • Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, Nat. Bur. Stand. (U.S.) Publ. No. SBN 486-61272-4 (U.S. GPO, Washington, DC, 1964).
    • (1964) Handbook of Mathematical Functions
  • 59
  • 61


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.