Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
I.C. Percival, Advan. Chem. Phys. 36 (1977) 1–61; J. Phys. B6 (1973) L 229.
I.C. Percival and N. Pomphrey, Mol. Phys. 31 (1976) 97.
W. Eastes and R.A. Marcus, J. Chem. Phys. 61 (1974) 4301.
D.W. Noid and R.A. Marcus, J. Chem. Phys. 62 (1975) 2119; 67, (1977) 559.
D.W. Noid and M.L. Koszykowski and R.A. Marcus 71 (1979) 2864; Chem. Phys. Lett. 73 (1980) 269.
M.C. Gutzwiller, S. Math. Phys. 8(1967) 1979; 10(1969) 1001; 11(1970) 1791; 12(1971) 343; Phys. Rev. Lett. 45 (1980) 150.
K.S.J. Nordholm and S.A. Rice, J. Chem. Phys. 61 (1971) 203, 768.
E.S. Heller, J. Chem. Phys. 65 (1976) 1289; 67(1977) 3339; 72 (1980)1037; 75(1981) 2923; 86 (1982)2118.
G. Casati, F. Valz-Gris and I. Guarneri, Lett. Nuovo Cimento 28 (1980)279.
S.W. McDonald and A.N. Kaufman, Phys. Rev. Lett. 42(1979) 1189.
M.V. Berry, J. Phys. A10 (1977) 2061, 2083; Phil. Trans. Roy. Soc. Lond. 287(1977) 237; Ann. Phys. N.Y. 131 (1981) 163.
M.V. Berry, Lectures on Semiclassical Mechanics of Regular and Irregular Motion, given at Les Houches 1981 and to be published by North Holland (R.H.G. Helleman and G. Ioos, eds.).
M.V. Berry and M. Tabor, Proc. Roy. Soc. A349 (1976) 101; A356 (1977) 375; J. Phys. A10 (1977) 371.
B.V. Chirikov, F.M. Izrailev and D.L. Shepelyansky, Transient stocasticity in quantum mechanics. Preprint INP, Novosbirsk 1981.
G.M. Zaslavski, Sov. Phys. JETP 46 (1977)1094; Physics Reports 3 (1981) 157.
G. Casati, in Evolution of Order and Chaos (ed. H. Haken) Springer series in Synergetics vol. 17 1982.
W.H. Miller, J. Chem. Phys. 63 (1975) 996
A. Voros, in Stochastic Behaviour in Classical and Quantum Hamiltonian systems (G. Casati and J. Ford eds.) Lectures notes in Physics 93 (Springer 1979)
A.I. Shnirelman, Ups. Mat. Nank 29 (1974) 181.
J.S. Hutchinson and R.E. Wyatt, Chem. Phys. Lett. 72 (1980) 378; Phys. Rev. 23A (1981) 1567.
R.M. Stratt, N.C. Handy and W.H. Miller, J. Chem. Phys. 71 (1979) 3311
K.G. Kay, J. Chem. Phys. 72 (1980)5955.
C. Jaffé and W.P. Reinhardt, J. Chem. Phys. 71 (1979) 1862
S. Chapman, B. Garrett and W.H. Miller, J. Chem. Phys. 64 (1976) 502
R.T. Swim and J.B. Delos, J. Chem. Phys. 71 (1979) 1706.
Y. Weissman and J. Jortner, Chem. Phys. Lett. 78 (1981) 224; Phys. Lett. 83A (1981) 55.
M.S. Davis, E.B. Stechel and E.J. Heller, Chem. Phys. Lett. 76 (1980) 21.
G.P. Berman and G.M. Zaslavsky, Physica 111A (1982) 17.
G.P. Berman, G.M. Zaslavsky and A.R. Kolovsky, Phys. Lett. 87A (1982) 152.
P. Pechukas, Chem. Phys. Lett. 86 (1982) 553; J. Chem. Phys. (in press).
R. Kosloff and S.A. Rice, J. Chem. Phys. 74(1981) 1340.
N. De Leon and B.J. Berne, J. Chem. Phys. 75 (1981) 3495.
V.I. Arnold and A. Avez, Ergodic Problems of Classical Mechanics (Benjamin, New York, 1968).
G. Casati and I. Guarneri, statistical properties of spectra and decay of correlations. Preprint.
J. Ford, in Long — Time Predictions in Dynamics, ed. W. Horton, L. Reichl, V. Szebehely (John Wiley) (1982) 141.
G. Casati, G. Comparin and I. Guarneri Phys. Rev. A. Rap. Comm. 26 (1983) 717.
G. Casati, I. Guarneri and F. Valz-Gris, Physica 30 (1981) 644.
F. Vivaldi, G. Casati and I. Guarneri, The origin of the long-time tails in strongly chaotic systems. (Submitted to Phys. Rev. Lett.)
F.J. Dyson, J. Math. Phys. 3 (1962) 140; 3 (1962), 166.
M.L. Mehta, Nuclear Physics 18 (1960) 395
M. Gaudin, Nuclear Physics 25 (1961) 447.
C.F. Porter (ed.), Statistical Theory of Spectra: Fluctuations (Academic Press, New York, 1965)
G. Casati and I. Guarneri Phys. Rev. Lett. 50 (1983) 640.
F. Gesztesy and H. Mitter, J. Phys. A14 (1981) L79; S.R.Barone, M.A. Narcowich and F.J. Narcowich, Phys. Rev. A15 (1977) 1109.
G. Casati, B.V. Chirikov, F.M. Izrailev and J. Ford, in "Stochastic behaviour in Classical and Quantum Hamiltonian Systems", ed. by G. Casati and J. Ford, Lectures Notes in Physics Vol. 93 (Springer, Berlin 1979).
F.M. Izraelev and D.L. Shepelyansky, Sov. Phys. Dokl. 24 (1979) 996; Theor and Math Phys 43 (1980) 553.
G. Casati and I. Guarneri, spectral properties of periodically driven systems. Preprint.
T. Hogg and B.A. Huberman, Phys. Rev. Lett. 48 (1982) 711–714.
Shmuel Fishman, D.R. Grempel and R.E. Prange, Phys. Rev. Lett. 49 (1982) 509.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Casati, G. (1984). Irreversibility and chaos in quantum systems. In: Accardi, L., Frigerio, A., Gorini, V. (eds) Quantum Probability and Applications to the Quantum Theory of Irreversible Processes. Lecture Notes in Mathematics, vol 1055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071710
Download citation
DOI: https://doi.org/10.1007/BFb0071710
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12915-8
Online ISBN: 978-3-540-38798-5
eBook Packages: Springer Book Archive