Publications: 13. Reviews, Books
(Sinii inei, Akademgorodok)
1981
13.1. B.V.Chirikov, F.M.Izrailev,
D.L.Shepelyansky, "Dynamical
Stochasticity in Classical and Quantum Mechanics", Sov. Scient. Rev.
v.2C, p.209-267 (1981)
[Section C - Mathematical Physics Reviews, Ed. S.P.Novikov vol.2,
Harwood Acad. Publ., Chur, Switzerland (1981)]
(here)
1983
13.2. 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) ]
1987
13.3. 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)
1988
13.4. 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)
(here)
13.5. 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)
13.6. B.V.Chirikov, F.M.Izrailev,
D.L.Shepelyansky, "Quantum Chaos:
Localization vs. Ergodicity", Physica 33D, p.77-88 (1988)
(here)
13.7. D.L.Shepelyansky,
"The Theory of Diffusive
Photoelectric Effect in Hydrogen Atom",
Institute of Nuclear Physics, Novosibirsk (1988);
Preprint INP 89-54, 89-89, 89-93, Novosibirsk (1989),
Preprint INP 89-54, 89-89, 89-93, Novosibirsk (1989),
BINP copy in Russian
(here 89-54) ,
(here 89-89) ,
(here 89-93) ;
[Doctor thesis (Habilitation) defended 6 December 1988]
(avtoreferat Dated 28 October 1988 in Russian
(here) ;
thesis: part 1 (here) ;
part 2 (here) ;
part 3 (here) ;
part 4 (here) )
1991
13.8. 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) ]
1996
13.9. 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.Tr\^an Thanh V\^an, Editions Frontieres, Gif-sur-Yvette,
p.201-210 (1996) (Proc. XXXI Moriond Workshop "Rencontres de Moriond",
Les Arcs, 1996 (here) ); (cond-mat/9603086)
(here)
1998
13.10. 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)
2001
13.11. D.L.Shepelyansky,
"Quantum chaos & quantum computers" Nobel Symposium on Quantum Chaos Y2K,
June 2000, Sweden, Physica Scripta v. T90 (2001) p.112 - 120
(quant-ph/0006073) +
(here) ;
[proofs (here) ;
other (here) ]
2003
13.12. R.Livi, S.Ruffo and D.L.Shepelyansky,
"Le cheminement de Kolmogorov de l'integrabilite
au chaos et au-dela", p.15-45,
Eds. R.Livi et A.Vulpiani ``L'heritage de Kolmogorov
en physique'' (Belin, Paris, (2003)) (in French);
``Kolmogorov pathways from integrability to chaos and
beyond'', Eds. R.Livi and A.Vulpiani
``The Kolmogorov legacy in physics''
(Lecture Notes in Physics v.636, pp.3-32,
Springer, Berlin (2003)
(link to the Chapter) and
(link to the book))
(proofs version here)
13.13. B.Georgeot and D.L.Shepelyansky,
"Les ordinateurs quantiques affrontent le chaos",
(in French,
"Images de la Physique 2003-2004", CNRS Edition,
pp. 17-23;
quant-ph/0307103)
(here)
2004
13.14. K.M.Frahm, R.Fleckinger and
D.L.Shepelyansky,
``Quantum chaos and random matrix theory for fidelity decay
in quantum computations with static imperfections'',
Eur. Phys. J. D v.29 (2004) p.139-155
[highlight paper of the issue] (quant-ph/0312120)
(here) ;
"Universal regime of fidelity decay in realistic quantum computations",
in ``Quantum information and decoherence in
nanosystems'' Eds. D.C.Glattli, M.Sanquer, and J.T.Thanh Van,
The Gioi Publ., 2004, p. 167 - 171
(Proceedings of the XXXIXth Rencontres de Moriond, 2004
(here) )
2006
13.15. G.Casati, D.L.Shepelyansky,
P.Zoller and G.Benenti (Eds.)
"Quantum Computers, Algorithms and Chaos",
Volume 162 International School of Physics Enrico Fermi, 620pp.
IOS Press, Delft, NL (2006) (ISBN: 1-58603-660-2;
link to the book))
(first pages (here) )
2008
13.16. B.Chirikov, D.Shepelyansky,
"Chirikov standard map", Scholarpedia, 3(3):3550 (2008).
Scholarpedia article invited by Scholarpedia Editor,
submitted 5 February (2008)
( link;
pdf file (here) ; v2017 (here) ;
updated version 31 Jul 2017
(here) ;
update 21 Dec 2017 (here) ;
update Dec 2019 (here) )
2012
13.17. D.Shepelyansky,
"Microwave ionization of hydrogen atoms",
Scholarpedia v.7(1), p. 9795 (2012) (dated Jan 25 (2012))
(
link;
pdf file (here) )
2014
13.18. L.Ermann, K.M.Frahm
and D.L.Shepelyansky,
"Google matrix analysis of directed networks",
Rev. Mod. Phys. v.87, p.1261 (2015)
(here)
(arXiv:1409.0428 [physics.soc-ph]
(here) )
13.19. O.V.Zhirov, D.L.Shepelyansky,
K.W.Epstein (composers), A.N.Skrinsky (head editor)
"Boris Valerianovich Chirikov - legislator of chaos",
BINP book about B.V.Chirikov in Russian and partially in
English, short version, Publ. Siberian Division of
Russian Academy of Sciences, Novosibirsk 2014 (ISBN 978-5-7692-1362-5);
(here) ;
polnaia versiia (here)
2016
13.20. L.Ermann, K.Frahm
and D.Shepelyansky,
"Google matrix",
Scholarpedia v.11(11), p.30944 (2016)
(doi:10.4249/scholarpedia.30944)
(here)
2018
13.21. J.Lages, D.Shepelyansky
and I.I.Shevchenko,
"Kepler map",
Scholarpedia, v.13(2), p.33238 (2018)
(doi:10.4249/scholarpedia.33238)
(here)
2020
13.22. D.Shepelyansky (Scholarpedia Editor note),
"Shnirelman theorem", Scholarpedia May (2020)
(here)
13.23. D.Shepelyansky,
"Ehrenfest time and chaos", Scholarpedia v.15(9), p.55031 (2020),
doi:10.4249/scholarpedia.55031
(here)