scholarly journals On a Neutral Particle with a Magnetic Quadrupole Moment in a Uniform Effective Magnetic Field

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
I. C. Fonseca ◽  
K. Bakke
Keyword(s):  
Magnetic Field ◽  
Quadrupole Moment ◽  
Bound States ◽  
Neutral Particle ◽  
Cyclotron Frequency ◽  
Energy Levels ◽  
Type System ◽  
Angular Frequency ◽  
Quantum Numbers ◽  
Magnetic Quadrupole

Quantum effects on a Landau-type system associated with a moving atom with a magnetic quadrupole moment subject to confining potentials are analysed. It is shown that the spectrum of energy of the Landau-type system can be modified, where the degeneracy of the energy levels can be broken. In three particular cases, it is shown that the analogue of the cyclotron frequency is modified, and the possible values of this angular frequency of the system are determined by the quantum numbers associated with the radial modes and the angular momentum and by the parameters associated with confining potentials in order that bound states solutions can be achieved.

scholarly journals Effects on a Landau-type system for a neutral particle with no permanent electric dipole moment subject to the Kratzer potential in a rotating frame

2016 ◽  
Vol 472 (2190) ◽  
pp. 20150858 ◽  
Author(s):  
Abinael B. Oliveira ◽  
Knut Bakke
Keyword(s):  
Dipole Moment ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Neutral Particle ◽  
Type System ◽  
Bound State ◽  
Angular Frequency ◽  
Rotating Frame ◽  
Permanent Electric Dipole Moment ◽  
Quantum Numbers

The behaviour of a neutral particle (atom, molecule) with an induced electric dipole moment in a region with a uniform effective magnetic field under the influence of the Kratzer potential (Kratzer 1920 Z. Phys. 3 , 289–307. ( doi:10.1007/BF01327754 )), and rotating effects is analysed. It is shown that the degeneracy of the Landau-type levels is broken and the angular frequency of the system acquires a new contribution that stems from the rotation effects. Moreover, in the search for bound state solutions, it is shown that the possible values of this angular frequency of the system are determined by the quantum numbers associated with the radial modes and the angular momentum, the angular velocity of the rotating frame and by the parameters associated with the Kratzer potential.

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

2015 ◽  
Vol 471 (2184) ◽  
pp. 20150362 ◽  
Author(s):  
I. C. Fonseca ◽  
Knut Bakke
Keyword(s):  
External Field ◽  
Electric Field ◽  
Quadrupole Moment ◽  
Coulomb Potential ◽  
Ground State ◽  
Quantum Dynamics ◽  
Quantum Effect ◽  
Angular Frequency ◽  
Quantum Numbers ◽  
Magnetic Quadrupole

The quantum dynamics of an atom with a magnetic quadrupole moment that interacts with an external field subject to harmonic and 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 harmonic and 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.

On the Landau system for an atom with no permanent electric dipole moment subject to a linear confining potential

2016 ◽  
Vol 31 (06) ◽  
pp. 1650019 ◽  
Author(s):  
Abinael B. Oliveira ◽  
Knut Bakke
Keyword(s):  
Dipole Moment ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Bound States ◽  
Quantum Effect ◽  
Energy Levels ◽  
Type System ◽  
Angular Frequency ◽  
Confining Potential ◽  
Permanent Electric Dipole Moment

Bound states are analyzed in a Landau-type system for an atom with no permanent electric dipole moment under the influence of a linear confining potential. We show that the spectrum of energy of the Landau-type system is modified and the degeneracy of the energy levels is broken. Besides, another quantum effect observed in this analysis is the dependence of the angular frequency of the system on the quantum numbers associated with the radial modes and the angular momentum, whose meaning is that only specific values of the angular frequency are allowed in order that bound states solutions can be achieved. As an example, we obtain the angular frequency associated with the ground state of the system.

THE ANALOGUE OF THE AHARONOV–BOHM EFFECT FOR BOUND STATES FOR NEUTRAL PARTICLES

2011 ◽  
Vol 26 (18) ◽  
pp. 1331-1341 ◽  
Author(s):  
KNUT BAKKE ◽  
C. FURTADO
Keyword(s):  
Bound States ◽  
Neutral Particle ◽  
Energy Levels ◽  
Quantum Ring ◽  
Persistent Currents ◽  
One Dimensional ◽  
Neutral Particles ◽  
Quantum Flux ◽  
Bohm Effect ◽  
Aharonov Bohm

We study the analogue of the Aharonov–Bohm effect for bound states for a neutral particle with a permanent magnetic dipole moment interacting with an external field. We consider a neutral particle confined to moving between two coaxial cylinders and show the dependence of the energy levels on the Aharonov-Casher quantum flux. Moreover, we show that the same flux dependence of the bound states can be found when the neutral particle is confined to a one-dimensional quantum ring and a quantum dot, and we also calculate the persistent currents in each case.

scholarly journals Discrete spectrum of many body Schrödinger operators with non-constant magnetic fields II

1997 ◽  
Vol 145 ◽  
pp. 69-98
Author(s):  
Tetsuya Hattori
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Discrete Spectrum ◽  
Bound States ◽  
Atomic System ◽  
Energy Levels ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Many Body ◽  
Discrete Energy

This paper is continuation from [10], in which we studied the discrete spectrum of atomic Hamiltonians with non-constant magnetic fields and, more precisely, we showed that any atomic system has only finitely many bound states, corresponding to the discrete energy levels, in a suitable magnetic field. In this paper we show another phenomenon in non-constant magnetic fields that any atomic system has infinitely many bound states in a suitable magnetic field.

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