Chaos in One-Dimensional Hydrogen

D. C. Humm; Munir H Nayfeh

doi:10.1007/978-1-4613-1061-7_26

Chaos in One-Dimensional Hydrogen

D. C. Humm
, Munir H Nayfeh

Physics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

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.

Original language	English (US)
Title of host publication	Atomic Spectra and Collisions in External Fields
Editors	K. T. Taylor, M. H. Nayfeh, C. W. Clark
Publisher	Springer
Chapter	26
Pages	327-342
ISBN (Electronic)	9781461310617
ISBN (Print)	9781461283157, 9780306431470
DOIs	https://doi.org/10.1007/978-1-4613-1061-7_26
State	Published - 1988

Publication series

Name	Physics of Atoms and Molecules

Keywords

Microwave Field
Classical Chaos
Surface State Electron
Quantum Regime
Nonlinear Resonance

Online availability

10.1007/978-1-4613-1061-7_26

Library availability

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1 Conference proceeding

Atomic Spectra and Collisions in External Fields
Taylor, K. T. (Editor), Nayfeh, M. H. (Editor) & Clark, C. W. (Editor), 1988, New York: Springer. 457 p. (Physics of Atoms and Molecules)
Research output: Book/Report/Conference proceeding › Conference proceeding › peer-review

Cite this

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abstract = "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.",

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TY - CHAP

T1 - Chaos in One-Dimensional Hydrogen

AU - Humm, D. C.

AU - Nayfeh, Munir H

PY - 1988

Y1 - 1988

N2 - 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.

AB - 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.

KW - Microwave Field

KW - Classical Chaos

KW - Surface State Electron

KW - Quantum Regime

KW - Nonlinear Resonance

U2 - 10.1007/978-1-4613-1061-7_26

DO - 10.1007/978-1-4613-1061-7_26

M3 - Chapter

SN - 9781461283157

SN - 9780306431470

T3 - Physics of Atoms and Molecules

SP - 327

EP - 342

BT - Atomic Spectra and Collisions in External Fields

A2 - Taylor, K. T.

A2 - Nayfeh, M. H.

A2 - Clark, C. W.

PB - Springer

ER -

Chaos in One-Dimensional Hydrogen

Abstract

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Keywords

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Research output

Atomic Spectra and Collisions in External Fields

Cite this