Landau levels analog to electric dipole

Ribeiro, L. R.; Furtado, C.; Nascimento, J. R.

doi:10.1016/j.physleta.2005.08.046

Cited by 96 publications

(122 citation statements)

References 24 publications

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“…We find that Landau like levels of the Anandan system are invariant and the levels between the AC system and the HMW system are interchanged each other under Maxwell dual transformations on the three spaces. We think the levels of the AC system and the HMW system are similar under the same revolution direction which is different from the point of Ribeiro et al [14] and analyze their mistake from the angles of revolution direction and Maxwell duality. Some difference between commutative space and NC situation is also discussed from the supersysmmetry transformation.…”

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confidence: 73%

“…Following these steps, Ribeiro et al made use of the HMW interaction to generate another analog of Landau quantization. [14] have also obtained noncommutative Landau like quantization with the AC interaction and the HMW interaction respectively. [42] In this letter, we will use the Anandan interaction for another analog of Landau quantization in the non-relativistic limit on commutative space (C), NC space and NC phase space.…”

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confidence: 97%

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Two-dimensional noncommutative atom gas with the Anandan interaction

Xiao-Min

2011

Phys. Rev. A

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Landau like quantization of the Anandan system in a special electromagnetic field is studied. Unlike the cases of the AC system and the HMW system, the torques of the system on the magnetic dipole and the electric dipole don't vanish. By constructing Heisenberg algebra, the Landau analog levels and eigenstates on commutative space, NC space and NC phase space are obtained respectively. By using the coherent state method, some statistical properties of such free atom gas are studied and the expressions of some thermodynamic quantities related to revolution direction are obtained. Two particular cases of temperature are discussed and the more simple expressions of the free energy on the three spaces are obtained. We give the relation between the value of σ and revolution direction clearly, and find Landau like levels of the Anandan system are invariant and the levels between the AC system and the HMW system are interchanged each other under Maxwell dual transformations on the three spaces. The two sets of eigenstates labelled by σ can be related by a supersymmetry transformation on commutative space, but the phenomenon don't occur on NC situation. We emphasize that some results relevant to Anandan interaction are suitable for the cases of AC interaction and HMW interaction under special conditions.

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confidence: 73%

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confidence: 97%

Two-dimensional noncommutative atom gas with the Anandan interaction

Xiao-Min

2011

Phys. Rev. A

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“…In the same way, the analog of Landau quantization for neutral particles possessing a nonzero electric dipole moment can be obtained by use of the He-McKellar-Wilkens effect [16].…”

Section: Introductionmentioning

confidence: 97%

Landau quantization for a neutral particle in the presence of topological defects

et al. 2009

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In this paper we study the Landau levels in the non-relativistic dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field in the curved spacetime background with the presence or absence of a torsion field. The eigenfunction and eigenvalues of Hamiltonian are obtained. We show that the presence of the topological defect breaks the infinite degeneracy of the Landau levels arising in this system. We also apply a duality transformation to discuss this same quantization for a dynamics of a neutral particle with a permanent electric dipole moment. * Electronic address: kbakke,lrr,jroberto,furtado@fisica.ufpb.br

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“…In Ref. [24][25][26], it has been shown that the Landau-HeMcKellar-Wilkens quantization [27][28][29] can be obtained without assuming the existence of magnetic charges. Recently, bound states for a neutral particle with permanent magnetic dipole moment analogous to a quantum dot have been obtained via the noninertial effects of the FermiWalker reference frame [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

A comment on the analogous confinement of a neutral particle to a quantum dot via noninertial effects

Bakke

2012

Open Physics

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Abstract:In this contribution, we discuss the nonrelativistic limit of the Dirac equation for a neutral particle with a permanent electric dipole moment interacting with external fields in a noninertial frame. We show a case where the geometry of the manifold can play the role of a hard-wall confining potential due to noninertial effects, and can yield bound states analogous to a confinement of the spin-half neutral particle interacting with external fields to a quantum dot described by a hard-wall confining potential [33]. PACS

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Landau levels analog to electric dipole

Cited by 96 publications

References 24 publications

Two-dimensional noncommutative atom gas with the Anandan interaction

Two-dimensional noncommutative atom gas with the Anandan interaction

Landau quantization for a neutral particle in the presence of topological defects

A comment on the analogous confinement of a neutral particle to a quantum dot via noninertial effects

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