Weak chaos in a quantum Kepler problem

Physics Report

Volumn 288, Issue 1-6, 1997, Pages 487-512

  Altshuler, B L ^a   Levitov, L S ^b  

^a NEC LABORATORIES AMERICA   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031232414     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(97)00038-0     Document Type: Article

References (25)

1. [1] I.M. Lifshits, Sov. Phys. JETP 17 (1963) 1159-1170; I.M. Lifshits, The Energy Spectrum of Disordered Systems, Adv. Phys. 13 (1964) 483-536; I.M. Lifshits, S.A. Gredeskul, L.A. Pastur, Introduction to the Theory of Disordered Systems, Wiley, New York, 1988.
2. [1] I.M. Lifshits, Sov. Phys. JETP 17 (1963) 1159-1170; I.M. Lifshits, The Energy Spectrum of Disordered Systems, Adv. Phys. 13 (1964) 483-536; I.M. Lifshits, S.A. Gredeskul, L.A. Pastur, Introduction to the Theory of Disordered Systems, Wiley, New York, 1988.
3. [1] I.M. Lifshits, Sov. Phys. JETP 17 (1963) 1159-1170; I.M. Lifshits, The Energy Spectrum of Disordered Systems, Adv. Phys. 13 (1964) 483-536; I.M. Lifshits, S.A. Gredeskul, L.A. Pastur, Introduction to the Theory of Disordered Systems, Wiley, New York, 1988.
4. [2] P.W. Anderson, Phys. Rev. 109 (1958) 1492-1505.
5. [3] J.M. Ziman, Models of Disorder, Cambridge University Press, Cambridge, 1979.
6. [4] V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer, New York, 1978.
7. [5] M.C. Gutzwiller, Chaos in Classical and Quantum Mechanics, Ch. 9, Springer, New York, 1990.
8. [6] A. Knauf, Comm. Math. Phys. 110 (1987) 89-112; A. Knauf, Ann. Phys. 191(2) (1989) 205-240; M. Klein, A. Knauf, Classical Planar Scattering by Coulombic Potentials, Lecture Notes in Physics, Springer, Berlin, 1992.
9. [6] A. Knauf, Comm. Math. Phys. 110 (1987) 89-112; A. Knauf, Ann. Phys. 191(2) (1989) 205-240; M. Klein, A. Knauf, Classical Planar Scattering by Coulombic Potentials, Lecture Notes in Physics, Springer, Berlin, 1992.
10. [6] A. Knauf, Comm. Math. Phys. 110 (1987) 89-112; A. Knauf, Ann. Phys. 191(2) (1989) 205-240; M. Klein, A. Knauf, Classical Planar Scattering by Coulombic Potentials, Lecture Notes in Physics, Springer, Berlin, 1992.
11. [7] see Ref. [5], Chapter 11.
12. [8] U. Smilansky, in: E. Akkermans, J.-L. Pichard, J. Zinn-Justin (Eds.), Mesoscopic Quantum Physics, Proc. of Les-Houches summer school, session LXI, 1994, North Holland, Amsterdam, 1996.
13. [9] M.C. Gutzwiller, Chaos 3(4) 1993 591; Physics and Arithmetic Chaos in the Fourier Transform, to appear in the Memorial volume for Claude Itzykson, J.-M. Drouffe, J.-B. Zuber (Eds.)
14. [9] M.C. Gutzwiller, Chaos 3(4) 1993 591; Physics and Arithmetic Chaos in the Fourier Transform, to appear in the Memorial volume for Claude Itzykson, J.-M. Drouffe, J.-B. Zuber (Eds.)
15. [10] D. Thouless, Q. Niu, J. Phys. A16 (1983) 1911; Q. Niu, F. Nori, Phys. Rev. Lett. 57 (1986) 2057; Q. Niu, F. Nori, Phys. Rev. B42 (1990) 10329.
16. [10] D. Thouless, Q. Niu, J. Phys. A16 (1983) 1911; Q. Niu, F. Nori, Phys. Rev. Lett. 57 (1986) 2057; Q. Niu, F. Nori, Phys. Rev. B42 (1990) 10329.
17. [10] D. Thouless, Q. Niu, J. Phys. A16 (1983) 1911; Q. Niu, F. Nori, Phys. Rev. Lett. 57 (1986) 2057; Q. Niu, F. Nori, Phys. Rev. B42 (1990) 10329.
18. [11] L.S. Levitov, Europhys. Lett. 7(4) (1988) 343-348; L.S. Levitov, J. Phys. France 50 (1989) 707-716; P.A. Kalugin, A.Yu. Kitaev, L.S. Levitov, Sov. Phys. JETP 64 (1986) 410.
19. [11] L.S. Levitov, Europhys. Lett. 7(4) (1988) 343-348; L.S. Levitov, J. Phys. France 50 (1989) 707-716; P.A. Kalugin, A.Yu. Kitaev, L.S. Levitov, Sov. Phys. JETP 64 (1986) 410.
20. [11] L.S. Levitov, Europhys. Lett. 7(4) (1988) 343-348; L.S. Levitov, J. Phys. France 50 (1989) 707-716; P.A. Kalugin, A.Yu. Kitaev, L.S. Levitov, Sov. Phys. JETP 64 (1986) 410.
21. [12] L.S. Levitov, Phys. Rev. Lett. 64 (1990) 547-550.
22. [13] L.S. Levitov, Europhys. Lett. 9(1) (1989) 83-86.
23. [14] A.L. Burin, Yu.M. Kagan, Sov. Phys. JETP 82 (1996) 159.
24. [15] Boltzmann equation and its properties are reviewed in: E.M. Lifshits, L.P. Pitaevskii, Physical Kinetics, Elsevier, 1981.
25. [16] A.D. Mirlin, Y.V. Fyodorov, F.-M. Dittes, J. Quezada, T.H. Seligman, Phys. Rev. E 54 (1996) 3221.