Publications of Boris Chirikov on Quantum Chaos
(N.Roerich, 1933, path to Shambhala, Museum New York)
1979
1. F.M.Izrailev, G.Casati, J.Ford, B.V.Chirikov,
"Stochastic behavior of a quantum pendulum under a periodic perturbation",
Preprint 78-46, Institute of Nuclear Physics, Novosibirsk (1978)
(extended version in Russian (here) ;
angliiskaia versiia scan (here) ;
zhurnal (here) )
G.Casati, B.V.Chirikov, F.M.Izraelev, J.Ford, Lecture Notes
in Physics, Springer, Berlin, 93: 334 (1979)
(link here)
1981
2. B.V.Chirikov, F.M.Izrailev and D.L.Shepelyansky,
"Dynamical stochasticity in classical and quantum mechanics",
Sov. Scient. Rev. C 2: 209 (1981)
[Section C - Mathematical Physics Reviews, Ed. S.P.Novikov vol.2,
Harwood Acad. Publ., Chur, Switzerland (1981)]
(here)
1983
3. B.V.Chirikov,
"Dynamical stochasticity in classical and quantum mechanics",
Uspekhi Fiz. Nauk (in Russian UFN 139(2): 360 (1983)
(here)
1984
4. G.Casati, B.V.Chirikov and D.L.Shepelyansky,
"Quantum limitations for chaotic excitation of hydrogen atom in monochromatic field",
Phys. Rev. Lett. 53: 2525 (1984)
(here)
1985
5. B.V.Chirikov,
"An example of chaotic eigenstates in a complex atom"
Phys. Lett. A 108: 68 (1985)
(here)
6. G.Casati, B.V.Chirikov, and I.Guarneri,
"Energy-level statistics of integrable quantum systems",
Phys. Rev. Lett. 54: 1350 (1985)
(here)
1986
7. B.V.Chirikov and D.L.Shepelyansky,
"Localization of Dynamical Chaos in Quantum Systems",
Izvestiya Vysshikh Uchebnykh Zavedenii Radiofizika 29: 1041(1986)
(in Russian: (here) ,
in English: (here) )
8. B.V.Chirikov,
"Transient chaos in quantum and classical mechanics",
Foundations of Physics (Plenum) 16(1): 39 (1986)
(here)
9. G.Casati, B.V.Chirikov, I.Guarneri
and D.L.Shepelyansky,
"Dynamical stability of quantum "chaotic" motion in hydrogen atom"",
Phys. Rev. Lett. 56: 2437 (1986)
(here)
10. G.Casati, B.V.Chirikov, I.Guarneri
and D.L.Shepelyansky,
"New photoelectric ionization peak in the hydrogen atom",
Phys. Rev. Lett. 57: 823 (1986)
(here)
1987
11. G.Casati, B.V.Chirikov,
D.L.Shepelyansky and I.Guarneri,
"Relevance of classical chaos in quantum mechanics:
the hydrogen atom in a monochromatic field",
Phys. Rep. 154: 77 (1987)
(here)
12. G.Casati, B.V.Chirikov, I.Guarneri
and D.L.Shepelyansky,
"Localization of diffusive excitation in
the two-dimensional hydrogen atom in a monochromatic field",
Phys. Rev. Lett. 59: 2927 (1987)
(here)
1988
13. B.V.Chirikov, F.M.Izrailev and D.L.Shepelyansky,
"Quantum chaos: localization vs. ergodicity",
Physica D 33: 77 (1988)
(here)
14. B.V.Chirikov,
"Quantum limitations of classical dynamics in quasiclassical region",
Eds. T.Grozdanov, P.Grujie, P.Krstic, Proc. Int. Conf. on Classical Dynamics
in Atomic and Molecular Physics (CDAMP88),
Brioni, Yugoslavia, World Sci. Publ., Singapore, ISBN 9971507382, p.307 (1988)
(here)
1989
15. B.V.Chirikov,
"Time-dependent quantum systems", in "Chaos and quantum physics",
Eds. M-J.Giannoni, A.Voros and J.Zinn-Justin,
Les Houches, Session LII p.443 (1989), Elsvier Sci. Publ. B.V. (1991)
(here)
1990
16. B.V.Chirikov,
"A simple model analysis of quantum chaos",
Acta Physica Polonica A78(1): 73 (1990)
(presented at the Tenth Int. School of Coherent
Optics "Quantum Optics II", Ustron, Poland, Sept 19-26, 1989)
(here)
17. B.V.Chirikov,
"Quantum chaos: statistical relaxation in discrete spectrum",
in "Quantum chaos" (Eds. H.A.Cerdeira, R.Ramaswamy,
M.C.Gutzwiller, G.Casati), World Sci. p.57 (1990)
(presented at the Adriatico Research Conf.,
Trieste, Italy , June 4 - July 6, 1990)
(here)
1991
18. B.V.Chirikov,
"A theory of quantum diffusion localization",
Chaos 1(1): 95 (1991)
(here)
19. B.V.Chirikov,
"Chaotic quantum systems", in "Mathematical Physics X",
K.Schmudgem (Ed.)
Mathematic Congress Proc., Leipzig, Germany (1991)
p.34
(here)
1992
20. B.V.Chirikov,
"The problem of quantum chaos",
Lecture Notes Phys. (Springer, Berlin)
411: 1 (1992)
(DOI: 10.1007/3-540-56253-2)
(here)
21. B.V.Chirikov,
in "Nonlinearity with disorder",
F.Abdulaev, A.R.Bishop, S.Pnevmatikos (Eds),
Springer Proc. in Physics v.67 (Springer, berlin, 1992),
"Linear chaos", p. 3
(here) ;
better copy (here)
1993
22. G.Casati, B.V.Chirikov,
I.Guarneri and F.M.Izrailev.
"Band-random-matrix model for quantum localization
in conservative systems",
Phys. Rev. E 48: R1613 (1993)
(here)
1995
23. G.Casati and B.V.Chirikov,
"Quantum chaos: unexpected complexity",
Physica D 86: 220-237 (1995)
(here)
24. B.V.Chirikov and D.L.Shepelyansky,
"Shnirelman peak in level spacing statistics",
Phys. Rev. Lett. 74: 1026 (1995)
(here)
25. B.V.Chirikov,
"Quantum chaos and ergodic theory",
in "Bifurcation and chaos",
J.Awrejcewicz (Ed.), Springer-Verlag, Berlin p.9-16, (1995)
(ISBN 3-540-58531)
(here)
1996
26. G.Casati, B.V.Chirikov,
I.Guarneri and F.M.Izrailev.
"Quantum ergodicity and localization in conservative systems:
the Wigner band random matrix model",
Phys. Lett. A 223: 430-435 (1996)
(here)
1997
27. G.Casati, B.V.Chirikov,
and O.V.Zhirov.
"Existence of a long time scale in quantum chaos",
Phys. Rev. E 55: 7757 (1997)
(here)
28. B.V.Chirikov,
"Pseudochaos in statistical physics",
arXiv:chao-dyn/9705004 (1997),
talk given at the Int. Conf. "Nonlinear Dynamics, Chaotic and
Complex Systems", Zakopane (1995)
(here)
(Eds. E. Infeld, R. Zelazny, A. Galkowski,
"Nonlinear Dynamics, Chaotic and Complex Systems",
Cambridge Univ. Press p.149 (1997),
(here) )
29. B.V.Chirikov,
"Linear and nonlinear dynamical chaos",
Open Sys. & Information Dyn. 4(3): 241 (1997),
Kluwer Acad. Publ.
(here)
2008
30. B.Chirikov and D.Shepelyansky,
"Chirikov standard map" (invited article to Scholarpedia),
Scholarpedia 3(3):3550 (2008)
(here) ;
(link)