CLASSICAL DYNAMICS OF RYDBERG ELECTRONS IN CROSSED FIELDS: THE STRUCTURE OF PHASE SPACE AND CHAOS-ORDER ALTERNATIONS

1994 ◽  
Vol 04 (04) ◽  
pp. 905-920 ◽  
Author(s):  
JAN VON MILCZEWSKI ◽  
G.H.F. DIERCKSEN ◽  
T. UZER
Keyword(s):  
Nonlinear Dynamics ◽  
Phase Space ◽  
Magnetic Fields ◽  
Chaotic Systems ◽  
Rydberg Atoms ◽  
Excited Electron ◽  
Atomic Scale ◽  
Classical Dynamics ◽  
Electric And Magnetic Fields ◽  
Great Complexity

Highly excited Rydberg atoms are atomic-scale laboratories where the quantum mechanics of chaotic systems can be tested. The symmetry breaking introduced into the Coulomb potential by crossed electric and magnetic fields leads to very interesting nonlinear dynamics, but is also a source of great complexity. In this article, we analyse the phase space and dynamics of a highly excited electron in the combined Coulomb, electric, and magnetic fields by bringing out the classical structures that support the complexity of the motion.

scholarly journals A Surface of Section for Hydrogen in Crossed Electric and Magnetic Fields

Mathematics ◽  
2018 ◽  
Vol 6 (10) ◽  
pp. 185
Author(s):  
Korana Burke ◽  
Kevin Mitchell
Keyword(s):  
Nonlinear Dynamics ◽  
Dynamical Systems ◽  
Hydrogen Atom ◽  
Magnetic Fields ◽  
Geometric Approach ◽  
Electron Dynamics ◽  
Surface Of Section ◽  
Electric And Magnetic Fields ◽  
Global Surface ◽  
Global Surface Of Section

A well defined global surface of section (SOS) is a necessary first step in many studies of various dynamical systems. Starting with a surface of section, one is able to more easily find periodic orbits as well as other geometric structures that govern the nonlinear dynamics of the system in question. In some cases, a global surface of section is relatively easily defined, but in other cases the definition is not trivial, and may not even exist. This is the case for the electron dynamics of a hydrogen atom in crossed electric and magnetic fields. In this paper, we demonstrate how one can define a surface of section and associated return map that may fail to be globally well defined, but for which the dynamics is well defined and continuous over a region that is sufficiently large to include the heteroclinic tangle and thus offers a sound geometric approach to studying the nonlinear dynamics.

Recurrence spectra of non-hydrogen Rydberg atoms in parallel electric and magnetic fields

2002 ◽  
Vol 11 (7) ◽  
pp. 656-660 ◽  
Author(s):  
Song Xiao-Hong ◽  
Zhang Qiu-Jü ◽  
Xue Yan-Li, Zhao Ke ◽  
Li Yu ◽  
Lin Sheng-Lu
Keyword(s):  
Magnetic Fields ◽  
Rydberg Atoms ◽  
Electric And Magnetic Fields
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