Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field

Journal Article · Sat Feb 15 00:00:00 EST 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2013.11.013· OSTI ID:22233545

Bakke, K., E-mail: [e-mail]

We discuss the arising of bound states solutions of the Schrödinger equation due to the presence of a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field. Furthermore, we study the influence of the Coulomb-type potential on the harmonic oscillator by showing a quantum effect characterized by the dependence of the angular frequency on the quantum numbers of the system, whose meaning is that not all values of the angular frequency are allowed. -- Highlights: • Interaction between a moving electric quadrupole moment and a magnetic field. • Arising of bound states solutions due to the presence of a Coulomb-type potential. • Influence of the Coulomb-type potential on the harmonic oscillator. • Dependence of the angular frequency on the quantum numbers of the system.

• OSTI ID: 22233545
• Journal Information: Annals of Physics (New York), Vol. 341; Other Information: Copyright (c) 2013 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
BOUND STATE
HARMONIC OSCILLATORS
INTERACTIONS
MAGNETIC FIELDS
MATHEMATICAL SOLUTIONS
POTENTIALS
QUADRUPOLE MOMENTS
QUANTUM NUMBERS