Two charges on plane in a magnetic field I. “Quasi-equal” charges and neutral quantum system at rest cases

• Published in: Annals of physics Vol. 340; no. 1; pp. 37 - 59
• Main Authors: Escobar-Ruiz, M.A., Turbiner, A.V.
• Format: Journal Article
• Language: English
• Published: New York Elsevier Inc 01.01.2014; Elsevier BV
• Subjects: ANGULAR MOMENTUM; APPROXIMATIONS; BOUND STATE; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Coulomb friction; EIGENFUNCTIONS; ELECTRONS; EXACT SOLUTIONS; EXCITED STATES; HYDROGEN; Hydrogen atoms; Magnetic field; MAGNETIC FIELDS; MASS; Mathematical analysis; PERTURBATION THEORY; Planes; POLYNOMIALS; QUANTUM DOTS; QUANTUM NUMBERS; Quantum theory; Rest; Two-body planar Coulomb system; VARIATIONAL METHODS; WAVE FUNCTIONS; Two-body planar Coulomb system; Magnetic field

Low-lying bound states for the problem of two Coulomb charges of finite masses on a plane subject to a constant magnetic field B perpendicular to the plane are considered. Major emphasis is given to two systems: two charges with the equal charge-to-mass ratio (quasi-equal charges) and neutral system...