Electric-field effects on the closed orbits of the diamagnetic Kepler problem

C. Bleasdale, A. Bruno-Alfonso, and R. A. Lewis
Phys. Rev. A 93, 023405 – Published 5 February 2016
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Abstract

The nonrelativistic closed orbits of an electron interacting with a unit positive charge in the presence of homogeneous magnetic and electric fields are investigated. A simplified theoretical model is proposed utilizing appropriate initial conditions in semiparabolic coordinates for arbitrary magnetic- and electric-field alignments. The evolution of both the angular spectrum of orbits and the shape and duration of individual orbits, as the electric-field intensity and scaled energy are increased, is shown for the cases of both parallel and crossed fields. Orbit mixing in the high-field regime is investigated in the case of parallel fields, giving an indication of the system moving from the quasi-Landau chaotic regime to the electric-field-induced (Stark effect) regular regime. For crossed fields, it is shown that the Garton-Tomkins orbits lead to a pair of orbits that have opposite behaviors as a function of the electric-field intensity.

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  • Received 23 July 2015
  • Revised 8 November 2015

DOI:https://doi.org/10.1103/PhysRevA.93.023405

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
  1. Techniques
General Physics

Authors & Affiliations

C. Bleasdale*

  • Institute for Superconducting and Electronic Materials and School of Physics, University of Wollongong, New South Wales 2522, Australia

A. Bruno-Alfonso

  • Departamento de Matemática, Faculdade de Ciências, Unesp - Universidade Estadual Paulista, Bauru, São Paulo 17033-360, Brazil

R. A. Lewis

  • Institute for Superconducting and Electronic Materials, School of Physics and Faculty of Engineering and Information Sciences, University of Wollongong, New South Wales 2522, Australia

  • *cb123@uowmail.edu.au
  • alexys@fc.unesp.br
  • roger@uow.edu.au

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Issue

Vol. 93, Iss. 2 — February 2016

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