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

2014 ◽  
Vol 341 ◽  
pp. 86-93 ◽  
Author(s):  
K. Bakke
2014 ◽  
Vol 29 (23) ◽  
pp. 1450117 ◽  
Author(s):  
K. Bakke

We discuss the arising of bound states solutions to the Schrödinger equation due to the presence of a Coulomb-type potential induced by the interaction between a moving particle possessing an electric quadrupole moment and an electric field. Besides, 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. Finally, we consider the quantum particle subject to harmonic and linear confining potentials and investigate the influence of the analogue of the Coulomb potential.


2020 ◽  
Vol 35 (25) ◽  
pp. 2075002
Author(s):  
Francisco M. Fernández

We analyze the results obtained from a model consisting of the interaction between the electric quadrupole moment of a moving particle and an electric field. We argue that the system does not support bound states because the motion along the [Formula: see text] axis is unbounded. It is shown that the author obtains a wrong bound-state spectrum for the motion in the [Formula: see text] plane and that the existence of allowed cyclotron frequencies is an artifact of the approach.


Author(s):  
Ricardo L. L. Vitória

Abstract We investigate rotating effects on a charged scalar field immersed in spacetime with a magnetic screw dislocation. In addition to the hard-wall potential, which we impose to satisfy a boundary condition from the rotating effect, we insert a Coulomb-type potential and the Klein–Gordon oscillator into this system, where, analytically, we obtain solutions of bound states which are influenced not only by the spacetime topology, but also by the rotating effects, as a Sagnac-type effect modified by the presence of the magnetic screw dislocation.


1999 ◽  
Vol 451 (1-2) ◽  
pp. 11-18 ◽  
Author(s):  
H. Ogawa ◽  
K. Asahi ◽  
K. Sakai ◽  
A. Yoshimi ◽  
M. Tsuda ◽  
...  

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