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Publications: 3. Rydberg Atoms and Chaos

(Siberian road in winter)

1982
3.1. 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 (here) )
3.2. 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 (here) )

1983
3.3. 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 (here) )
3.4. N.B.Delone, V.P.Krainov, D.L.Shepelyansky, "Highly excited Atom in Electromagnetic Field", Usp. Fiz. Nauk v.140, p.355-392 (1983) (in Russian: scan (here) and UFN-copy (here) ) [ N.B.Delone, V.P.Krainov, D.L.Shepelyanskii, Sov. Phys. Uspekhy v.26, p.551 (1983), in English (here) ; better copy (here) ]
3.5. D.L.Shepelyansky, "Quantum Diffusion Limitation at Excitation of Rydberg Atom in Variable Field", Dated: May 12, 1983, Preprint INP 83-61 (Novosibirsk 1983) (in Russian (here) , BINP copy (here) ; in English (here) ); Proc. Int. Conf. on Quantum Chaos (Como 1983), Ed. G.Casati, Plenum p.187 (1985) (here)
1984
3.6. 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 (here) )
3.7. 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) (here) ; Preprint INP 84-144, Novosibirsk 2 November 1984 BINP copy in English (here)
1986
3.8. 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) (here) ; Preprint INP 86-48, Novosibirk 17 February 1986, BINP copy in English (here)
3.9. 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). (here) ; Preprint INP 86-48, Novosibirk 17 February 1986, BINP copy in English (here)
3.10. 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) (here) ; Preprint INP 86-76, Novosibirk 28 April 1986, BINP copy in English (here)
1987
3.11. D.L.Shepelyansky, "Quantum Chaos: Diffusive Photoelectric Effect in Hydrogen", Usp. Fiz. Nauk v.152, p.168-171 (1987) (in Russian (here) ), Sov. Phys. Usp. v.30(5), p. 438 (1987) (in English (here) ).
3.12. 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) (here)
3.13. 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) (here) ; Preprint INP 87-29, Novosibirsk 18 February 1987, BINP copy in English (here)
3.14. 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) (here) ; Preprint INP 87-30, Novosibirsk 18 February 1987, BINP copy in English (here)
1988 - 1989
3.15. 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) (here)
3.16. 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) (here)
3.16. 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 (here) ).
3.17. D.L.Shepelyansky, "Quantum Localization of Dynamical Chaos", in: Nonlinear Waves. Dynamics and Evolution, Nauka, Moscow p.267-275 (1989) (in Russian) (here) ; in "Nonlinear Waves 2: Dynamics and Evolution" A.V.Gaponov-Grekhov, M.I.Rabinovich, J.Engelbrecht (Eds.), Springer-Verlag, Berlin (1989), p.34-43 (in English) (here)
1990
3.18. G.Casati, I.Guarneri, D.L.Shepelyansky, "Classical Chaos, Quantum Localization and Fluctuations: a Unified View", Physica v.163A, p.205 (1990) (here)
1991 - 1992
3.19. G.Casati, I.Guarneri, D.L.Shepelyansky, "Two-Frequency Excitation of Hydrogen Atom", Chaos, Solitons & Fractals, v.1, N2, (1991) p.131-135 (here)
3.20. 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 (here)
[a short note is also placed here: D.L.Shepelyansky, "Quantum Localization of Dynamical Chaos", in " Chaos and Quantum Physics", Les Houches Lecture Series v.52 Eds. M.-J. Giannoni, A.Voros, and J. Zinn-Justin (North-Holland, Amsterdam, 1991), p.793-796 (here) ]
3.21. 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) (here)
1993
3.22. 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 (here)
3.23. 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.425-434 (here)
1994 - 1995
3.24. D.L.Shepelyansky, "Kramers Map Approach for stabilization of Hydrogen Atom in a Monochromatic Field", Phys. Rev. A. v.50 (1994) p.575-583 (here)
3.25. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Chaotic Autoionization of Molecular Rydberg States", Phys. Rev. Lett. v.72 (1994) p. 1818 (here) ; Phys. Rev. Lett. v.74 (1995) 3496 (here)
3.26. 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 (here) (scan (here) )
3.27. 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 (here)
1996 - 1997
3.28. F.Benvenuto, G.Casati, D.L.Shepelyansky, "Chaos in a quasiclassical hadronic atom", Phys. Rev. A v.53 (1996) p.737-743 (here)
3.29. 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) (here)
3.30. 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) (here)
1998
3.31. 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) (here)
1999 - 2000
3.32. 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) (here)
3.33. G.Benenti, G.Casati, G.Maspero and D.L.Shepelyansky, "Quantum Poincar\'e Recurrences for Hydrogen Atom in a Microwave Field", Phys. Rev. Lett. v. 84 (2000) pp. 4088 - 4091 (cond-mat/9911200) (here)
2005
3.34. T.Prosen and D.L.Shepelyansky, ``Mesoscopic ``Rydberg'' atom in a microwave field'' (cond-mat) or "Microwave control of transport through a chaotic mesoscopic dot'' Eur. Phys. J. B v.46, p.515-518 (2005) (cond-mat/0411155) (here)
2012
3.35. D.Shepelyansky, "Microwave ionization of hydrogen atoms", Scholarpedia v.7(1), p. 9795 (2012) (dated Jan 25 (2012)) (link; pdf file (here) )
2017
3.36. D.Shepelyansky, "Quantum chaos of dark matter in the Solar system", submitted to Phys. Rev. Lett. 17 Nov (2017) (arXiv:1711.07815 [quant-ph] (here) ; v2 (here) ; v3 (here) )