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

Journal Article


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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.

Publication Date


  • 2016

Citation


  • Bleasdale, C., Bruno-Alfonso, A. & Lewis, R. A. (2016). Electric-field effects on the closed orbits of the diamagnetic Kepler problem. Physical Review A: Atomic, Molecular and Optical Physics, 93 (2), 023405-1-023405-10.

Scopus Eid


  • 2-s2.0-84957991658

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2826&context=aiimpapers

Ro Metadata Url


  • http://ro.uow.edu.au/aiimpapers/1824

Start Page


  • 023405-1

End Page


  • 023405-10

Volume


  • 93

Issue


  • 2

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.

Publication Date


  • 2016

Citation


  • Bleasdale, C., Bruno-Alfonso, A. & Lewis, R. A. (2016). Electric-field effects on the closed orbits of the diamagnetic Kepler problem. Physical Review A: Atomic, Molecular and Optical Physics, 93 (2), 023405-1-023405-10.

Scopus Eid


  • 2-s2.0-84957991658

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2826&context=aiimpapers

Ro Metadata Url


  • http://ro.uow.edu.au/aiimpapers/1824

Start Page


  • 023405-1

End Page


  • 023405-10

Volume


  • 93

Issue


  • 2