References

1. F.M.Izrailev, D.L.Shepelyansky, "Quantum Resonance for Rotator in Nonlinear Periodic Field", Dok. Akad. Nauk SSSR v.249, p.1103-1107 (1979); Teor. Mat. Fiz. v.43, 417 (1980) (in Russian).

2. D.L.Shepelyansky, "Quasiclassical Approximation for Stochastic Quantum Systems", Dok. Akad. Nauk SSSR v.256, p.586-590 (1981) (in Russian).

3. D.L.Shepelyansky, "About Dynamical Stochasticity in Nonlinear Quantum Systems", Teor. Math. Fiz. v.49, p.117-121 (1981) (in Russian).

4. B.V.Chirikov, F.M.Izrailev, D.L.Shepelyansky, "Dynamical Stochasticity in Classical and Quantum Mechanics", Sov. Scient. Rev. (Gordon & Bridge) v.2C, p.209-267 (1981).

5. B.V.Chirikov, D.L.Shepelyansky, "Statistics of Poincare Recurrences and the Structure of the Stochastic Layer of a Nonlinear Resonance", Preprint INP 81-69, Novosibirsk 1981 (in Russian); English translation available as Preprint PPPL-TRANS-133, Plasma Phys. Lab., Princeton Univ, Princeton, New Jersey, 1983; Proc. IX Int. Conf. on Nonlinear Oscillations (Kiev 1981), Naukova Dumka v.2, p.420-425 (1984) (in Russian).

6. B.V.Chirikov, J.Ford, F.M.Izrailev,D.L.Shepelyansky, F.Vivaldi, "Modulational Diffusion in Nonlinear Oscillating Systems", Proc. IX Int. Conf. on Nonlinear Oscillations (Kiev 1981), Naukova Dumka v.2, p.80-85 (1984) (in Russian).

7. B.V.Chirikov, D.L.Shepelyansky, "Stochastic Oscillations of Classical Yang-Mills Fields", Pis'ma Zh. Eksp. Teor. Fiz. v.34, p.171-175 (1981) [JETP Lett., v.34, p.163-166 (1981)].

8. B.V.Chirikov, D.L.Shepelyansky, "Dynamics of Some Homogeneous Models of Classical Yang-Mills Fields", Yader. Fiz. v.36, p.1563-1576 (1982) [Sov. J.Nucl. Fiz. v.36, p.908 (1982)].

9. B.V.Chirikov, D.L.Shepelyansky, "Diffusion for Multiple Crossing of Nonlinear Resonance", Zh. Tech. Fiz. v.52, p.238-245 (1982) (in Russian).

10. D.L.Shepelyansky, "Stochastization of Highly Excited Atom in a Field of Low Frequency Electromagnetic Wave", Optic. i Spectr. v.52, p.1102-1105 (1982) (in Russian).

11. D.L.Shepelyansky, "Stochastic Ionization of Excited Hydrogen Atom in a Field of Electromagnetic Wave", Optic. i Spectr. v.53, p.354-356 (1982) (in Russian).

12. N.B.Delone, V.P.Krainov, D.L.Shepelyansky, "Nonlinear Ionization of Highlyexcited Atoms", Izv. Akad. Nauk SSSR v.47, p.1565-1572 (1983) (in Russian).

13. N.B.Delone, V.P.Krainov, D.L.Shepelyansky, "Highly excited Atom in Electromagnetic Field", Usp. Fiz. Nauk v.140, p.355-392 (1983) [Sov. Phys. Uspekhy v.26, p.551 (1983)].

14. D.L.Shepelyansky, "Some Statistical Properties of Simple Classically Stochastic Quantum Systems", Physica v.8D, p.208-222 (1983).

15. D.L.Shepelyansky, "Quantum Diffusion Limitation at Excitation of Rydberg Atom in Variable Field", Preprint INP 83-61 (Novosibirsk 1983); Proc. Int. Conf. on Quantum Chaos (Como 1983), Ed. G.Casati, Plenum p.187 (1985).

16. N.B.Delone, V.P.Krainov, D.L.Shepelyansky, "Nonlinear Spectroscopy of Rydberg Atoms", Izv. Akad. Nauk SSSR v.48, p.682-688 (1984) (in Russian).

17. G.Casati, B.V.Chirikov, D.L.Shepelyansky, "Quantum Limitations for Chaotic Excitation of Hydrogen Atom in Monochromatic Field", Phys. Rev. Lett. v.53, p.2525-2528 (1984).

18. B.V.Chirikov, D.L.Shepelyansky, "Correlation Properties of Dynamical Chaos in Hamiltonian Systems", Physica v.13D, p.395-400 (1984).

19. B.V.Chirikov, M.A.Lieberman, D.L.Shepelyansky, F.Vivaldi, "A Theory of Modulational Diffusion", Physica v.14D, p.289-304 (1985).

20. D.L.Shepelyansky, "Localization of Quasienergy Eigenfunction in Action Space", Phys. Rev. Lett. v.56, p.677-680 (1986).

21. G.Casati, B.V.Chirikov, I.Guarneri,D.L.Shepelyansky, "Dynamical Stability of Quantum "Chaotic" Motion in Hydrogen Atom", Phys. Rev. Lett. v.56, p.2437-2440 (1986).

22. G.Casati, B.V.Chirikov, I.Guarneri,D.L.Shepelyansky, "New Photoelectric Ionization Peak in the Hydrogen Atom", Phys. Rev. Lett. v.57, p.823-826 (1986).

23. D.L.Shepelyansky, "Chaos and Interaction of Atoms with Self-Consistent Field in the Case of Small Coupling Constant", Phys. Rev. Lett. v.57, p.1815-1818 (1986).

24. B.V.Chirikov, D.L.Shepelyansky, "Localization of Dynamical Chaos in Quantum Systems", Radiofizika v.29, p.1041-1049 (1986) (in Russian).

25. D.L.Shepelyansky, "Quantum Chaos: Diffusive Photoelectric Effect in Hydrogen", Usp. Fiz. Nauk v.152, p.168-171 (1987) (in Russian).

26. G.Casati, B.V.Chirikov, I.Guarneri,D.L.Shepelyansky, "Relevance of Classical Chaos in Quantum Mechanics: the Hydrogen Atom in a Monochromatic Field", Phys. Rep. v.154, p.77-123 (1987).

27. D.L.Shepelyansky, "Localization of Diffusive Excitation in Multi-Level Systems", Physica v.28D, p.103-114 (1987).

28. G.Casati, I.Guarneri, D.L.Shepelyansky, "Exponential Photonic Localization for Hydrogen Atom in a Monochromatic Field", Phys.Rev. A v.36, p.3501-3504 (1987).

29. G.Casati, B.V.Chirikov, I.Guarneri,D.L.Shepelyansky, "Localization of Diffusive Excitation in the Two-Dimensional Hydrogen Atom in a Monochromatic Field", Phys. Rev. Lett. v.59, p.2927-2930 (1987).

30. B.V.Chirikov, D.L.Shepelyansky, "Chaos Border and Statistical Anomalies", Eds. D.V.Shirkov, D.I.Kazakov and A.A.Vladimirov, World Sci. Publ., Singapore, "Renormalization Group" p.221-250 (1988).

31. D.L.Shepelyansky, "Chaos and Ionization of the Hydrogen Atom in a Monochromatic Field", Nonlinear and Turbulent Processes in Physics, Kiev, Naukova Dumka v.1, p.227-230 (1988).

32. F.Haake, D.L.Shepelyansky, "The Kicked Rotator as a Limit of the Kicked Top", Europhys. Lett. v.5, p.671 (1988).

33. G.Casati, I.Guarneri, D.L.Shepelyansky, "Hydrogen Atom in Monochromatic Field: Chaos and Dynamical Photonic Localization", IEEE Jour. of Quant. Elect. v.24, p.1420-1444 (1988).

34. B.V.Chirikov, D.L.Shepelyansky, "Renormalization Chaos and Motion Statistical Properties", Phys. Rev. Lett. v.61, p.1039-1039 (1988).

35. F.M.Izrailev, D.L.Shepelyansky, "Quantum Chaos in a Model of Multilevel Atom Interacting with Resonant Field", Proc. XIII Int. Conf. Quant. and Nonlin. Opt., Minsk, v.1, p.77 (1988) (in Russian).

36. B.V.Chirikov, F.M.Izrailev, D.L.Shepelyansky, "Quantum Chaos: Localization vs. Ergodicity", Physica 33D, p.77-88 (1988).

37. G.Casati, I.Guarneri, D.L.Shepelyansky, "Anderson Transition in a One-Dimensional System with Three Incommensurate Frequencies", Phys. Rev. Lett. v.62, p.345-348 (1989).

38. F.Borgonovi, I.Guarneri, D.L.Shepelyansky, "Quantum Effects in the Frenkel-Kontorova Model", Phys. Rev. Lett. v.63, p.2010-2012 (1989).

39. D.L.Shepelyansky, "Quantum Localization of Dynamical Chaos", in: Nonlinear Waves. Dynamics and Evolution, Nauka, Moscow p.267-275 (1989) (in Russian).

40. G.Casati, I.Guarneri, D.L.Shepelyansky, "Classical Chaos, Quantum Localization and Fluctuations: a Unified View", Physica v.163A, p.205 (1990).

41. F.Borgonovi, I.Guarneri, D.L.Shepelyansky, "Destruction of Classical Cantori in the Quantum Frenkel-Kontorova Model", Z.Phys. B-Condensed Matter, v.79, p.133-142 (1990).

42. R.Graham, D.L.Shepelyansky, "A Solid-State Model for Photonic Localization in Molecular Quasi-Continua", Europhys. Lett., v.14, N.3, p.211-216 (1991).

43. R.Graham, M.Hoehnerbach, D.L.Shepelyansky, "Localization and Level Statistics in a One-Dimensional Solid State Model with Periodically Modulated Potential", Z.Phys. B - Condensed Matter, v.82, N3, p.347-350 (1991).

44. R.Graham, M.Schlautmann, and D.L.Shepelyansky, "Dynamical Localization in Josephson Junctions" , Phys. Rev. Lett., v67, N2, p.255-258 (1991).

45. G.Casati, I.Guarneri, M.Leschanz, D.L.Shepelyansky, C.Sinha, "Diffusion over Localized Adiabatic States in a Modulated Quantum Kicked Rotator", Phys. Lett. A, v.154, N1,2, p.19-23 (1991).

46. F.Benvenuto, G.Casati, I.Guarneri, D.L.Shepelyansky. "A Quantum Transition from Localized to Extended States in a Classically Chaotic System", Z.Phys.B - Condensed Matter, v.84, p.159 (1991).

47. R.Artuso, G.Casati, D.L.Shepelyansky, "Breakdown of Universality in Renormalization Dynamics for Critical Invariant Torus" Europhys. Lett., v.15 N4, p.381-386 (1991).

48. G.Casati, I.Guarneri, D.L.Shepelyansky, "Two-Frequency Excitation of Hydrogen Atom", Chaos, Solitons & Fractals, v.1, N2, (1991) p.131-135.

49. F.Benvenuto, G.Casati, A.S.Pikovsky, D.L.Shepelyansky, "Manifestations of Classical and Quantum Chaos in Nonlinear Wave Propagation", Phys. Rev. A, v.44, N6, p. R3423-R3426 (1991).

50. F.Borgonovi, I.Guarneri, D.L.Shepelyansky, "Statistics of Quantum Lifetimes in a Classically Chaotic System", Phys. Rev. A, v.43, N8, p.4517-4520 (1991).

51. R.Lima, D.Shepelyansky, "Fast Delocalization in a Model of Quantum Kicked Rotator", Phys. Rev. Lett., v.67, N11, p.1377-1380 (1991).

52. D.L.Shepelyansky, "Localization and Delocalization of Quantum Chaos", in "Quantum Chaos - Quantum Measurement" eds. P.Cvitanovic, I.Percival, A.Wirzba, Kluwer Academic Publishers, Dordrecht-Boston-London 1992 p.81-87.

53. S.Fishman, D.L.Shepelyansky, "Manifestation of Localization in Noise Induced Ionization and Dissociation", Europhys. Lett., v. 16, N7, p. 643-648 (1991).

54. D.L.Shepelyansky, "Dynamical Localization in Hydrogen Atom", Lectures at Enrico Fermi Summer School "Quantum Chaos", Varenna 1991, in Quantum Chaos, Eds. G.Casati, I.Guarneri, U.Smilansky, North-Holland, Amsterdam, pp.221-240, 1993.

55. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Stability of Rydberg Atoms in Strong Laser Field", Phys. Rev. A, v.45, N11, p.R7670-R7673 (1992).

56. R.Artuso, G.Casati, D.L.Shepelyansky, "Breakup of the Spiral Mean Torus in a Volume-preserving Map", Chaos, Solitons & Fractals, v.2, N2 (1992) p.181-190.

57. R.Artuso, G.Casati, D.L.Shepelyansky, "Fractal Spectrum and Anomalous Diffusion in the Kicked Harper Model", Phys. Rev. Lett. v.68 N26 (1992) p.3826-3829.

58. D.L.Shepelyansky, C.Sire, "Quantum Evolution in a Dynamical Quasicrystal", Europhys. Lett. v.20, N2 p.95-100 (1992).

59. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Classical Stabilization of the Hydrogen Atom in a Monochromatic Field", Phys. Rev. A, v.47, N2 (1993) p. R786-R789.

60. D.L.Shepelyansky, "Hydrogen in Monochromatic Field: Stabilization and Channeling vs. Chaos", Proc. XIII Int. Conf. on Atomic Physics, Munich, 1992 in: Atomic Physics 13, Edited by H.Walther, T.W.Hansch, and B.Neizert, AIP 1993, p.425.

61. F.Borgonovi, D.L.Shepelyansky, "Breaking of Analiticity in 2 Coupled Frenkel-Kontorova Chains", Europhys. Lett. v.21, N4 (1993) p.413-418.

62. D.L.Shepelyansky, "Delocalization of Quantum Chaos by Weak Nonlinearity", Phys. Rev. Lett. v.70 (1993) p.1787-1790.

63. D.L.Shepelyansky, "Kramers Map Approach for stabilization of Hydrogen Atom in a Monochromatic Field", Phys. Rev. A. v.50 (1994) p.575-583.

64. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Chaotic Autoionization of Molecular Rydberg States", Phys. Rev. Lett. v.72 (1994) p. 1818; Phys. Rev. Lett. v.74 (1995) 3496.

65. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Rydberg Stabilization of Hydrogen Atom in Strong Fields: The "Magic Mountain" in the Chaotic Sea", Z. Phys. B v.94 (1994) p.481-486.

66. P.Schmelcher, D.L.Shepelyansky, "Chaotic and Ballistic Dynamics for Two-dimensional Electrons in Periodic Magnetic Fields", Phys. Rev. B v.49 (1994) p.7418.

67. D.L.Shepelyansky, "Analitical Determination of Stable Configurations in Doubly Excited Atoms and Ions", J. Phys. B: At. Mol. Opt. Phys. v. 27 (1994) L235-L242.

68. D.L.Shepelyansky, "Quantum Localization, Chaos and Nonlinear Interactions", Proc. Int. Conf. The Grand Finale, 5-10 September 1993, Como, Italy; Physica D v.86 (1995) p. 45 - 52.

69. D.L.Shepelyansky, "Coherent propagation of two interacting particles in a random potential", Phys. Rev. Lett. v.73 (1994) p.2607-2610.

70. B.V.Chirikov, D.L.Shepelyansky, "Shnirelman peak in level spacing statistics", Phys. Rev. Lett. v.74 (1995) p. 518-521.

71. F.Borgonovi, D.L.Shepelyansky, "Adiabatic destruction of Anderson localization", Phys. Rev. E v.51 (1995) p.1026-1029..

72. F.Borgonovi, D.L.Shepelyansky, "Spectral variety in the kicked Harper model", Europhys. Lett. v.29 (1995) p.117-122.

73. D.L.Shepelyansky, A.D.Stone, "Chaotic Landau level mixing in classical and quantum wells", Phys. Rev. Lett. v.74 (1995) p.2098-2101. .

74. F.Borgonovi, D.L.Shepelyansky, "Enhancement of localization length for two interacting kicked rotators", Nonlinearity v.8 (1995) p. 877-890.

75. Ph. Jacquod, D.L.Shepelyansky, "Hidden Breit-Wigner distribution and other properties of random matrices with preferential basis", Phys. Rev. Lett. v.75 (1995) p.3501-3504.

76. F.Borgonovi, D.L.Shepelyansky, "Two interacting particles in an effective 2-3-d random potential", J. de Physique I France v.6 (1996) p.287-299.

77. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Chaos in a quasiclassical hadronic atom", Phys. Rev. A v.53 (1996) p.737-743.

78. S.Ruffo, D.L.Shepelyansky, "Universal diffusion near the golden chaos border", Phys. Rev. Lett. v.76 (1996) p.3300-3303.

79. D.L.Shepelyansky, O.P.Sushkov, "Few interacting particles in a random potential", Europhys. Lett. v.37 (1997) p.121-125; (cond-mat/9603023).

80. D.L.Shepelyansky, "Interactions and localization: two interacting particles approach", in "Correlated fermions and transport in mesoscopic systems", Eds. T.Martin, G.Montambaux and J.Trân Thanh Vân, Editions Frontieres, Gif-sur-Yvette, p.201-210 (1996) (Proc. XXXI Moriond Workshop "Rencontres de Moriond", Les Arcs, 1996) (cond-mat/9603086).

81. F.Borgonovi, D.L.Shepelyansky, "Effect of noise for two interacting particles in a random potential", Europhys. Lett. v.35 (1996) p.517-521.

82. F.Benvenuto, G.Casati and D.L.Shepelyansky, "Dynamical localization: hydrogen atom in magnetic and microwave fields", Phys. Rev. A v.55 (1997) p.1732 - 1735 (cond-mat/9612155).

83. Ph.Jacquod, D.L.Shepelyansky and O.P.Sushkov, "Breit-Wigner width for two interacting particles in a one-dimensional random potential", Phys. Rev. Lett. v.78 (1997) p.923 - 926, 21 May 1996 (cond-mat/9605141).

84. D.L.Shepelyansky, "Two interacting particles in the Harper model", Phys. Rev. B v.54 (1996) p.14896 - 14898 (cond-mat/9609134).

85. A.Barelli, J.Bellissard, Ph.Jacquod and D.L.Shepelyansky, "Double butterfly for two interacting particles in the Harper model", Phys. Rev. Lett. v. 77 (1996) p.4752 - 4755, 15 Sept 1996 (cond-mat/9609135).

86. F.Borgonovi and D.L.Shepelyansky, "Particle propagation in a random and quasi-periodic potential", Physica D, v.109 (1997) p.24 - 31 (cond-mat/9610137).

87. A.Barelli, J.Bellissard, Ph.Jacquod and D.L.Shepelyansky, "Two interacting Hofstadter butterflies", Phys. Rev. B v.55 (1997) p.9524 - 9533 (cond-mat/9610182).

88. D.L.Shepelyansky, "Low energy chaos in the Fermi-Pata-Ulam problem", Nonlinearity, v.10 (1997) p.1331-1338 (chao-dyn/9611005).

89. K.M.Frahm and D.L.Shepelyansky, "Quantum localization in rough billiards", Phys. Rev. Lett. v.78 (1997) p.1440-1443 (cond-mat/9612118).

90. Ph.Jacquod and D.L.Shepelyansky, "Two interacting quasiparticles above the Fermi sea", Phys. Rev. Lett. v. 78 (1997) p.4986 - 4989 (cond-mat/9612006).

91. G.Benenti, G.Casati and D.L.Shepelyansky, "Chaotic enhancement of hydrogen atoms excitation in magnetic and microwave fields", Phys. Rev. A v.56 (1997) p.3297 - 3300 (cond-mat/9612238).

92. K.M.Frahm and D.L.Shepelyansky, "Emergence of quantum ergodicity in rough billiards", Phys. Rev. Lett. v.79 (1997) p.1833 - 1836 (cond-mat/9702135).

93. G.Benenti, G.Casati and D.L.Shepelyansky, "100-photon microwave ionization of Rydberg atoms in a static electric field", Phys. Rev. A, v.57 (1998) p.1987-1991 (cond-mat/9704246).

94. Ph.Jacquod and D.L.Shepelyansky, "Emergence of quantum chaos in finite interacting Fermi systems", Phys. Rev. Lett. v.79 (1997) p.1837-1840 (cond-mat/9706040).

95. G.Casati, G.Maspero and D.L.Shepelyansky, "Relaxation process in a regime of quantum chaos", Phys. Rev. E, v. 56 (1997) p. R6233-R6236 (cond-mat/9706103).

96. B.Georgeot and D.L.Shepelyansky, "Breit-Wigner width and inverse participation ratio in finite interacting Fermi systems", Phys. Rev. Lett. v.79 (1997) p.4365-4368 (cond-mat/9707231).

97. G.Casati, G.Maspero and D.L.Shepelyansky, "Quantum fractal eigenstates", Physica D v. 131 (1999) p. 311 - 316 (cond-mat/9710118).

98. G.Benenti, G.Casati and D.L.Shepelyansky, "Chaotic enhancement in microwave ionization of Rydberg atoms", Eur. Phys. J. D, v. 5 (1999) p.311-326 (cond-mat/9805216).

99. B.Georgeot and D.L.Shepelyansky, "Integrability and quantum chaos in spin glass shards", Phys. Rev. Lett., v. 81 (1998) p. 5129 - 5132 (cond-mat/9807123).

100. G.Casati, G.Maspero and D.L.Shepelyansky, "Quantum Poncaré recurrences", Phys. Rev. Lett. v.82 (1999) p. 524 - 527 (cond-mat/9807145).

101. B.V.Chirikov and D.L.Shepelyansky, "Asymptotic Statistics of Poincaré Recurrences in Hamiltonian Systems with Divided Phase Space", Phys. Rev. Lett. v.82 (1999) p.528 - 531 (cond-mat/9807365).

102. D.L.Shepelyansky, "3D Anderson transition for two electrons in 2D", accepted to Phys. Rev. B (cond-mat/9902246).

103. G.Benenti, X.Waintal, J.-L.Pichard and D.L.Shepelyansky, "Quantum opening of the Coulomb gap in two dimensions", submitted to Phys. Rev. Lett., (cond-mat/9903339).

104. P.H.Song and D.L.Shepelyansky, "Low energy transition in spectral statistics of 2D interacting fermions", submitted to Phys. Rev. Lett., (cond-mat/9904229).

105. D.L.Shepelyansky, "Two electron view on metal-insulator transition in two dimensions", Proc. XXXIV Rencontres de Moriond, "Quantum Physics at the Mesoscopic Scale", Les Arcs, 1999, accepted (cond-mat/9905231).

106. D.L.Shepelyansky and P.H.Song, "Quantum ergodicity for electrons in two dimensions", Ann. Phys. (Leipzig) v. 8 (1999) N 7-9, pp. 665-673 (Proc. Localisation 99), (cond-mat/9907444).

107. B.Georgeot and D.L.Shepelyansky, "Quantum chaos border for quantum computing", submitted to Phys. Rev. Lett. (quant-ph/9909074).

108. G.Benenti, G.Casati, G.Maspero and D.L.Shepelyansky, "Quantum Poincaré Recurrences for Hydrogen Atom in a Microwave Field", submitted to Phys. Rev. Lett. (cond-mat/9911200).

109. J.Lages and D.L.Shepelyansky, "Cooper problem in the vicinity of Anderson transition", submitted to Phys. Rev. Lett. (cond-mat/9911461).