On an atom with a magnetic quadrupole moment subject to harmonic and linear confining potentials

Abstract

The quantum dynamics of an atom with a magnetic quadrupole moment that interacts with an external field subject to a harmonic and a linear confining potentials is investigated. It is shown that the interaction between the magnetic quadrupole moment and an electric field gives rise to an analogue of the Coulomb potential and, by confining this atom to a harmonic and a linear confining potentials, a quantum effect characterized by the dependence of the angular frequency on the quantum numbers of the system is obtained. In particular, it is shown that the possible values of the angular frequency associated with the ground state of the system are determined by a third-degree algebraic equation.

Linear confinement of a scalar particle in a Gödel-type spacetime

“…It is worth to point out that the linear scalar potential has attracted a great interest in atomic and molecular physics [23][24][25][26][27][28][29] and in relativistic quantum mechanics [30][31][32][33][34][35][36][37][38][39]. Our objective is to investigate the effects of the background defined in Eq.…”

The generalized Klein–Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza–Klein theory

“…Thereby, the bound states solution can be achieved by imposing that the power series expansion becomes a polynomial of degree n. Through the recurrence relation Eq. (20), we can see that the power series expansion becomes a polynomial of degree n by imposing two conditions [32,49,119,120,117,122,123,124,125]:…”

Quantum Effects on an Atom with a Magnetic Quadrupole Moment in a Region with a Time-Dependent Magnetic Field

“…where the vector M has the components determined by M i = j M ij ∂ j , where M ij is the magnetic quadrupole moment tensor (symmetric and traceless tensor) and the fields E and B are the electric and magnetic fields in the laboratory frame, respectively [34][35][36].…”