Quantum phase for an electric quadrupole moment in noncommutative quantum mechanics

Nizamidin, Halqem; Anwar, Abduwali; Dulat, Sayipjamal; Li, Kang

doi:10.1007/s11467-014-0425-1

Cited by 15 publications

(10 citation statements)

References 26 publications

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“…By analysing the asymptotic behaviour, we can write the radial wave function R (r) in the same way as given in Eq. (30); thus, substituting the radial wave function (30) into Eq. (40), we obtain the following second order differential equation By substituting the function (30) into Eq.…”

Section: Landau-type System Subject To a Coulomb-type Plus Lin-eamentioning

confidence: 99%

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

Fonseca

Bakke

2016

Advances in High Energy Physics

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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.

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Section: Landau-type System Subject To a Coulomb-type Plus Lin-eamentioning

confidence: 99%

“…(30); thus, substituting the radial wave function (30) into Eq. (40), we obtain the following second order differential equation By substituting the function (30) into Eq. (28), we obtain the following equation for H (r):…”

Section: Landau-type System Subject To a Coulomb-type Plus Lin-eamentioning

confidence: 99%

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

Fonseca

Bakke

2016

Advances in High Energy Physics

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“…For example, the Aharonov-Bohm effect [1][2][3][4] for a charged particle, the scalar Aharonov-Bohm and He-Mckellar-Willens effects [5][6][7][8][9][10][11], for bound states [12], and Landau quantization [13][14][15][16] for an electric dipole moment of a neutral particle. Furthermore, recent studies have investigated the interaction between the quadrupole moments of neutral particle and external fields in several quantum systems such as geometric quantum phases [17], noncommutative quantum mechanics [19], nuclear structure [20,21], atomic systems [22][23][24][25][26][27], molecular systems [28][29][30], and Landau quantization [18,[31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Landau quantization for an electric quadrupole moment of position-dependent mass quantum particles interacting with electromagnetic fields

Algadhi

Mustafa

2020

Annals of Physics

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Analogous to Landau quantization related to a neutral particle possessing an electric quadrupole moment, we generalize such a Landau quantization to include position-dependent mass (PDM) neutral particles. Using cylindrical coordinates, the exact solvability of PDM neutral particles with an electric quadrupole moment moving in electromagnetic fields is reported. The interaction between the electric quadrupole moment of a PDM neutral particle and a magnetic field in the absence of an electric field is analyzed for two different radial cylindrical PDM settings. Next, two particular cases of radial electric fields ( − → E = λ ρ ρ and − → E = λρ 2 ρ) are considered to investigate their influence on the Landau quantization (of this system using the same models of PDM settings). The exact eigenvalues and eigenfunctions for each case are analytically obtained.

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“…Studies of quadrupole moments of atoms and molecules have been made in noncommutative quantum mechanics [26], in single crystals [27], nuclear quadrupole interactions [29][30][31], molecules [32][33][34][35], atoms [36,37] and superposition of chiral states [38]. In this paper, we analyse the effects of rotation and a static scalar potential proportional to the inverse of the radial distance on the Landau-type system associated with a neutral particle with a magnetic quadrupole moment.…”

Section: Introductionmentioning

confidence: 99%

On an atom with a magnetic quadrupole moment in a rotating frame

Fonseca

Bakke

2017

Eur. Phys. J. Plus

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The quantum description of an atom with a magnetic quadrupole moment in the presence of a uniform effective magnetic field is analysed. The atom is also subject to rotation and a scalar potential proportional to the inverse of the radial distance. It is shown that the spectrum of energy is modified, in contrast to the Landau-type levels, and there is a restriction on the possible values of the cyclotron frequency which stems from the influence of the rotation and scalar potential proportional to the inverse of the radial distance.

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Quantum phase for an electric quadrupole moment in noncommutative quantum mechanics

Cited by 15 publications

References 26 publications

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

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

Landau quantization for an electric quadrupole moment of position-dependent mass quantum particles interacting with electromagnetic fields

On an atom with a magnetic quadrupole moment in a rotating frame

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