skip to main content

SciTech ConnectSciTech Connect

Title: Classical states of an electric dipole in an external magnetic field: Complete solution for the center of mass and trapped states

We study the classical behavior of an electric dipole in the presence of a uniform magnetic field. Using the Lagrangian formulation, we obtain the equations of motion, whose solutions are represented in terms of Jacobi functions. We also identify two constants of motion, namely, the energy E and a pseudomomentumC{sup →}. We obtain a relation between the constants that allows us to suggest the existence of a type of bound states without turning points, which are called trapped states. These results are consistent with and complementary to previous results. - Highlights: • Bound states without turning points. • Lagrangian Formulation for an electric dipole in a magnetic field. • Motion of the center of mass and trapped states. • Constants of motion: pseudomomentum and energy.
Authors:
; ;
Publication Date:
OSTI Identifier:
22403454
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 350; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; ELECTRIC DIPOLES; EQUATIONS OF MOTION; JACOBIAN FUNCTION; LAGRANGIAN FUNCTION; MAGNETIC FIELDS; MATHEMATICAL SOLUTIONS; TRAPPING