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.

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].

The permanent electric dipole moment of CaOH

1990 ◽  
Vol 93 (6) ◽  
pp. 4179-4186 ◽  
Author(s):  
Charles W. Bauschlicher ◽  
Stephen R. Langhoff ◽  
Timothy C. Steimle ◽  
Jeffrey E. Shirley
Keyword(s):  
Dipole Moment ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Permanent Electric Dipole Moment

Interference effects in the spectrum of HD: I. The fundamental band of pure HD

1983 ◽  
Vol 61 (12) ◽  
pp. 1648-1654 ◽  
Author(s):  
N. H. Rich ◽  
A. R. W. McKellar
Keyword(s):  
Absorption Spectrum ◽  
Dipole Moment ◽  
Phase Shift ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
High Density ◽  
Line Profiles ◽  
Interference Effects ◽  
Permanent Electric Dipole Moment ◽  
Precise Interpretation

The absorption spectrum of the ν = 1 ← 0 band of HD has been investigated at a temperature of 77 K and for densities in the range of 15 to 140 amagat. The band consists of two components: a broad collision-induced quasi continuum arising from dipoles induced during molecular collisions; and a dipole-allowed part arising from the small permanent electric dipole moment of the free HD molecule. The interference effects which occur between these two components were studied for the dipole-allowed R1(0) and R1(1) transitions. These transitions exhibited increasingly large asymmetries and changes in intensity at high density, but their behaviours were quite different from each other. The shape of each transition could be well represented by a series of Fano line profiles, and the evolution of shape and intensity with density could be accounted for by the formulation of Herman, Tipping, and Poll. However, the precise interpretation of the phase shift parameters arising in the theory is not clear.

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