• Corpus ID: 119111814

Two charges on plane in a magnetic field: II. Moving neutral quantum system across a magnetic field

@inproceedings{MAEscobarRuiz2013TwoCO,
  title={Two charges on plane in a magnetic field: II. Moving neutral quantum system across a magnetic field},
  author={M.A.Escobar-Ruiz and A.V.Turbiner},
  year={2013}
}

• M.A.Escobar-Ruiz, A.V.Turbiner
• Published 13 April 2014
• Physics

Abstract 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. Their accuracy is crosschecked 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.