Noncommutative space effects on the Landau system for a neutral particle with induced electric dipole moment under a linear confining potential

2019 ◽  
Vol 34 (21) ◽  
pp. 1950115 ◽  
Author(s):  
Abdelali Saidi ◽  
Moulay Brahim Sedra
Keyword(s):  
Dipole Moment ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Neutral Particle ◽  
Energy Levels ◽  
Noncommutative Space ◽  
Radial Wave ◽  
Confining Potential ◽  
Complete Set ◽  
Space Effects

In this contribution, we study the effects of space noncommutativity on the Landau system for a neutral particle with induced electric dipole moment subject to a linear confining potential. We analytically solve the Schrödinger equation and obtain the complete set of energy levels and the corresponding radial wave functions for the system in terms of the noncommutativity parameter [Formula: see text].

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.

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 Some aspects of an induced electric dipole moment in rotating and non-rotating frames

2017 ◽  
Vol 4 (6) ◽  
pp. 170541 ◽  
Author(s):  
Abinael B. Oliveira ◽  
Knut Bakke
Keyword(s):  
Dipole Moment ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Reference Frames ◽  
Scalar Potential ◽  
Radial Wave Function ◽  
Radial Distance ◽  
Bound State ◽  
Radial Wave ◽  
Rotating Reference Frames

Quantum effects on a neutral particle (atom or molecule) with an induced electric dipole moment are investigated when it is subject to the Kratzer potential and a scalar potential proportional to the radial distance. In addition, this neutral is placed in a region with electric and magnetic fields. This system is analysed in both non-rotating and rotating reference frames. Then, it is shown that bound state solutions to the Schrödinger equation can be achieved and, in the search for polynomial solutions to the radial wave function, a restriction on the values of the cyclotron frequency is analysed in both reference frames.

Vibrational Dynamics of the H2O . HF Complex. Potential Energy and Electric Dipole Moment Surfaces

1993 ◽  
Vol 58 (12) ◽  
pp. 2813-2830 ◽  
Author(s):  
Andrzej J. Sadlej ◽  
Ota Bludský ◽  
Vladimír Špirko
Keyword(s):  
Dipole Moment ◽  
Potential Energy ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Vibrational Energy ◽  
Dipole Moments ◽  
Energy Levels ◽  
Equilibrium Geometry ◽  
Two Dimensional ◽  
Experimental Values

A total of 330 points on the potential energy and electric dipole moment surfaces of the ground electronic state of the H2O . HF complex have been calculated ab initio using the SCF method and many-body perturbation theory (MBPT). To keep the calculations manageable, the geometry parameters of H2O were fixed at their experimental values and only certain two dimensional sections of the total surfaces have been evaluated. for each of the two-dimensional surface section, analytic potential energy and electric dipole moment functions have been fitted through the points and corresponding vibrational energy levels and effective electric dipole moments have been calculated using approximate vibrational Hamiltonians. The calculated values of resulting vibrational energies and effective electric dipoles from differently wide intervals for different vibrational modes. The intervals corresponding to the most interesting low frequency modes (out-of-plane and H2O vs HF stretching) are very narrow and coincide satisfactory with the corresponding experimental values. A very reasonable agreement has also been obtained for the equilibrium geometry, electric dipole moment and dissociation energy De of the complex. These findings lead us to believe that the calculated potential energy and electric dipole moment surfaces are sufficiently accurate for predicting purposes and rationalization of the so far unassigned spectral data of H2O . HF.

scholarly journals Расчет -=SUP=-179-=/SUP=-HfF-=SUP=-+-=/SUP=- для поиска эффектов нарушения пространственной четности и временной инвариантности

2021 ◽  
Vol 129 (7) ◽  
pp. 825
Author(s):  
И.П. Курчавов ◽  
А.Н. Петров
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Dipole Moment ◽  
Hyperfine Structure ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Energy Levels ◽  
Systematic Errors ◽  
Magnetic Quadrupole ◽  
Electron Electric Dipole Moment

For the 3Δ1 electronic state of the 179Hf 19F+ ion the energy shifts of the hyperfine structure sublevels of the ground rotational state due to the interaction of the electron electric dipole moment (eEDM) and magnetic quadrupole moment (MQM) of the 179Hf nucleus with internal electromagnetic field of the cation were calculated. A feature of eEDM and MKM search experiments on 179Hf 19F+ is the use of rotating external fields, which complicates the calculations and makes them more relevant. Experiments need to know energy levels structure in order to populate them, and knowledge of the g-factors of the levels will allow suppressing a number of systematic errors, related with incomplete control of the magnitude of the used magnetic field. Therefore, the corresponding calculations are also were held. Our calculations can be used to plan an experiment with a cation 179HfF+and interpretation of the obtained data.

Semiclassical treatment of an attractive inverse-square potential in an elastic medium with a disclination

2020 ◽  
Vol 17 (12) ◽  
pp. 2050178
Author(s):  
K. Bakke ◽  
C. Furtado
Keyword(s):  
Dipole Moment ◽  
Electric Field ◽  
Elastic Medium ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Bound States ◽  
Neutral Particle ◽  
Point Of View ◽  
Centrifugal Term ◽  
Radial Equation

We analyze the interaction of the induced electric dipole moment of a neutral particle with an electric field in elastic medium with a charged disclination from a semiclassical point of view. We show that the interaction of the induced electric dipole moment of a neutral particle with an electric field can yield an attractive inverse-square potential, where it is influenced by the topology of the disclination. Then, by using the Wentzel, Kramers and Brillouin approximation based on the Langer transformation, we show that the centrifugal term of the radial equation must be modified due to the influence of the topology of the disclination. Besides, we obtain the bound states solutions to the Schrödinger equation.

ON THE INFLUENCE OF CURVATURE ON THE LANDAU–HE–MCKELLAR–WILKENS QUANTIZATION INDUCED BY NONINERTIAL EFFECTS

2011 ◽  
Vol 26 (24) ◽  
pp. 4239-4249 ◽  
Author(s):  
KNUT BAKKE
Keyword(s):  
Dipole Moment ◽  
Reference Frame ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Neutral Particle ◽  
Field Configuration ◽  
Permanent Electric Dipole Moment ◽  
Noninertial Effects

We consider a neutral particle with permanent electric dipole moment interacting with a field configuration induced by the noninertial effects of the Fermi–Walker reference frame in the presence of a disclination and discuss the influence of curvature on the Landau–He–McKellar–Wilkens quantization.

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