Chaos in One-Dimensional Hydrogen
We analyze the effect of a DC electric field on classical chaos in one-dimensional hydrogen in a microwave field. We show that, under ordinary experimental conditions, the system is expected to undergo a transition from a regime of classical behavior to a regime of uniquely quantum behavior as the DC field is increased, for an unclamping DC field. We also show that ionization by classical chaos competes favorably with ionization by tunneling in the transition region, and that tunneling allows very sensitive spectroscopy of this region.
KeywordsMicrowave Field Nonlinear Resonance Quantum Regime Surface State Electron Classical Chaos
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- 1.J. Ford, in The New Physics, eds. S. Capelin and P. C. W. Davies Cambridge Univ. Press 1986).Google Scholar
- 2.For example, see Stochastic Behavior in Classical and Quantum Hamiltonian Systems, Lecture Notes in Physics V. 93, eds. G. Casati and J. Ford, (Springer-Verlag 1979); Chaotic Behavior in Quantum Systems, ed. G. Casati, (Plenum 1985).Google Scholar
- 9.M. H. Nayfeh, D. C. Humm, and M. S. Peercy, presented to the APS March meeting, K3 3 (1988).Google Scholar
- 10.R. V. Jensen and S. M. Susskind, Photons and Continuum States of Atoms and Molecules, eds. N. K. Rahman, C. Guidotti, and M. Allegrini, 13 (Springer-Verlag 1987).Google Scholar
- 11.J. E. Bayfield, Photons and Continuum States of Atoms and Molecules, eds. Rahman, Guidotti, and Allegrini, 8 (Springer-Verlag 1987).Google Scholar
- 12.P. M. Koch, Fundamental Aspects of Quantum Theory, eds. V. Gorini and A. Frigerio (Plenum 1986).Google Scholar
- 13.G. P. Berman, G. M. Zaslavsky, and A. R. Kolovsky, Zh. Eksp. Teor. Fiz. 88:1551 (1985) [Sov. Phys. JETP 61:925 (1985)]. Also see M. H. Nayfeh and D. Humm, Photons and Continuum States of Atoms and Molecules, eds. N. K. Rahman, C. Guidotti, and M. Allegrini, 28 (Springer-Verlag 1987).Google Scholar
- 18.G. M. Zaslavsky and B. V. Chirikov, Usp. Fiz. Nauk. 105:3 (1971) [Sov. Phys. Usp. 14:549 (1971)].Google Scholar
- 19.L. I. Schiff, Quantum Mechanics, 3rd ed., 268 (McGraw-Hill 1968).Google Scholar