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Two charges on a plane in a magnetic field: Special trajectories
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10.1063/1.4792478
/content/aip/journal/jmp/54/2/10.1063/1.4792478
http://aip.metastore.ingenta.com/content/aip/journal/jmp/54/2/10.1063/1.4792478
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Configuration I: Both particles rotate symmetrically on the same circle of diameter ρ with frequency ω. If e c ≠ 0, the frequency and the center of the orbit is fixed in the space. For identical particles (e > 0, m) for a given ρ, the frequency takes two values corresponding to different v; the center of the orbit rotates around the guiding center ρ 0 with frequency , see text.

Image of FIG. 2.
FIG. 2.

Both particles rotate on concentric circles with relative phase π with angular frequency ω. If e c = 0, the frequency , if e c ≠ 0 the frequency .

Image of FIG. 3.
FIG. 3.

Both particles rotate with the zero relative phase on concentric circles with angular frequency .

Image of FIG. 4.
FIG. 4.

A dipole with fixed dipole moment moves with constant velocity.

Image of FIG. 5.
FIG. 5.

Circular motion in the Born-Oppenheimer approximation (m 2 → ∞).

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/content/aip/journal/jmp/54/2/10.1063/1.4792478
2013-02-26
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Two charges on a plane in a magnetic field: Special trajectories
http://aip.metastore.ingenta.com/content/aip/journal/jmp/54/2/10.1063/1.4792478
10.1063/1.4792478
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