Abstract
The dynamics of strongly perturbed quantum systems is discussed in this paper through the study of a simple model. Aiming at a clarification of the role of classical chaos in quantum mechanics, the mechanism of strong field subthreshold ionization is illustrated in different situations.
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
Proc. Int. Conf. on Quantum Chaos, Como. G. Casati Ed. (Plenum, 1985 ).
J. Ford, “Chaos, Solving The Unsolvable, Predicting The Unpredictable”, in Chaotic Dynamics and Fractals, M. Barnsley and S. Demko Eds. ( Academic Press, New York 1986 ).
G. Casati, I. Guarneri and G. Mantica, in Proc. Int. Conf. on Quantum Chaos, Como 1983; also Physica 21 D (1986) 105.
J. Bellissard, “Stability and Instability in Quantum Mechanics”, in Trends in The Eighties, Lect. Notes in Math., P. Blanchard Ed. (1985).
J.E. Bayfield and P.M. Koch, Phys. Rev. Lett. 53 (1974) 258.
B. Deione, V.P. Krainov, D.L. Shepelyansky, Sov. Phys. Uspeky 26 (1983) 551.
D.L. Shepelyansky, in Ref. 1.
G. Casati, B.V. Chirikov, D.L. Shepelyansky Phys. Rev. Lett. 53 (1984) 2525.
J.E. Bayfield, L. Pinnaduwage, Phys Rev. Lett. 54 (1985)
G. Casati, B.V. Chirikov, I. Guarneri, D.L. Shepelyansky, Phys, Rev. Letters 57 (1986) 823.
J.G. Leopold, I.C. Percival, Phys. Rev. Lett. 41 (1978) 944; also J. Phys. B 12 (1979) 709.
R.V. Jensen, Phys. Rev. A 30 (1984) 386.
K.A.H. Van Leeuven et al., Phys. Rev. Lett. 55 (1985) 2231.
G. Casati, B.V. Chirikov, I. Guarneri,,D.L. Shepelyansky, Phys. Rev. Letters 56 (1986) 2437.
K.J. Yajima, Comm. Math. Phys. 87 (1982) 331; S. Graffi, V. Grecchi, H.J. Silverstone, Ann. Inst. Poincaré 42 (1985) 215.
S. Fishman, D.R. Grempel, R.E. Prange, Phys. Rev. Lett. 49 (1982) 509; also Phys. Rev. A 29 (1984) 1639.
G. Casati, I. Guarneri, Comm. Math. Phys. 95 (1984) 121; also G. Casati, J. Ford, F. Vivaldi, I. Guarneri, Phys. Rev. A 34 (1986) 1413.
B.V. Chirikov, D.L. Shepelyansky, Preprint 85–29 INP Novosibirsk 1985.
B.V. Chirikov, D.L. Shepelyansky, F.M. Izrailev, Sov. Scient. Rev. 2C (1981) 209.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mantica, G. (1987). Is Subthreshold Ionization a Chaotic Phenomenon?. In: Rahman, N.K., Guidotti, C., Allegrini, M. (eds) Photons and Continuum States of Atoms and Molecules. Springer Proceedings in Physics, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71778-9_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-71778-9_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-71780-2
Online ISBN: 978-3-642-71778-9
eBook Packages: Springer Book Archive