Two charges on plane in a magnetic field: III. He{sup +} ion

Journal Article · Mon Dec 15 00:00:00 EST 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.09.025· OSTI ID:22403494

Escobar-Ruiz, M.A., E-mail: [e-mail]

The He{sup +} ion on a plane subject to a constant magnetic field B perpendicular to the plane is considered taking into account the finite nuclear mass. Factorization of eigenfunctions permits to reduce the four-dimensional problem to three-dimensional one. The ground state energy of the composite system is calculated in a wide range of magnetic fields from B=0.01 up to B=100a.u. and center-of-mass Pseudomomentum K from 0 to 1000 a.u. using a variational approach. The accuracy of calculations for B=0.1a.u. is cross-checked in Lagrange-mesh method and not less than five significant figures are reproduced in energy. Similarly to the case of moving neutral system on the plane a phenomenon of a sharp change of energy behavior as a function of K for a certain critical K{sub c} but a fixed magnetic field occurs.

• OSTI ID: 22403494
• Journal Information: Annals of Physics (New York), Vol. 351; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
CENTER-OF-MASS SYSTEM
EIGENFUNCTIONS
FACTORIZATION
FOUR-DIMENSIONAL CALCULATIONS
GROUND STATES
HELIUM IONS
MAGNETIC FIELDS
MASS
THREE-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS