Journal
ANNALS OF PHYSICS
Volume 359, Issue -, Pages 405-418Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2014.07.010
Keywords
Two charges on a plane; Neutral system; Magnetic field
Categories
Funding
- University Program FENOMEC
- PAPIIT [IN109512]
- CONACyT grant (Mexico) [166189]
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The moving neutral system of two Coulomb charges on a plane subject to a constant magnetic field B perpendicular to the plane is considered. It is shown that the composite system of finite total mass is bound for any center-of-mass momentum P and magnetic field strength; the energy of the ground state is calculated accurately using a variational approach. Its accuracy is cross-checked in a Lagrange-mesh method for B = 1 a.u. and in a perturbation theory at small B and P. The constructed trial function has the property of being a uniform approximation of the exact eigenfunction. For a Hydrogen atom and a Positronium a double perturbation theory in B and P is developed and the first corrections are found algebraically. A phenomenon of a sharp change of energy behavior for a certain center-of-mass momentum and a fixed magnetic field is indicated. (C) 2014 Elsevier Inc. All rights reserved.
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