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.

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Cited by in corpus (12)

• Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation
• The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
• Linear confinement of a scalar particle in a Gödel-type spacetime
• Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza-Klein theory and Aharonov-Bohm effect
• The generalized Klein-Gordon oscillator with position-dependent mass in a particular Gödel-type space-time
• Klein-Gordon Oscillator with Scalar and Vector Potentials in Topologically Charged Ellis-Bronnikov type Wormhole
• Some aspects of an induced electric dipole moment in rotating and nonrotating frames
• On the Majorana fermion subject to a linear confinement
• On an atom with a magnetic quadrupole moment in a rotating frame
• Quantum effects on an atom with a magnetic quadrupole moment in a region with a time-dependent magnetic field
• A doubly anharmonic oscillator in an induced electric dipole system
• On a neutral particle with a magnetic quadrupole moment in a uniform effective magnetic field