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In this contribution we study the Landau levels arising within the relativistic quantum dynamics of a neutral particle which possesses a permanent magnetic dipole moment interacting with an external electric field. We consider the…

Quantum Physics · Physics 2015-05-13 K. Bakke , C. Furtado

The quantum dynamics of an induced electric dipole in the presence of a configuration of crossed electric and magnetic fields is analyzed. This field configuration confines the dipole in a plane and produces a coupling similar to the…

High Energy Physics - Theory · Physics 2009-11-11 Claudio Furtado , J. R. Nascimento , L. R. Ribeiro

In the present contribution we investigate the Landau analog energy quantization for neutral particles, that possesses a nonzero permanent magnetic and electric dipole moments, in the presence of an homogeneous electric and magnetic…

High Energy Physics - Theory · Physics 2008-11-26 L. R. Ribeiro , E. Passos , C. Furtado , J. R. Nascimento

In this letter we study the quantum dyamics of a neutral particle in the presence of an external magnetic field. We demonstrate in a specific field-dipole configuration that we have a quantization similar to the Landau Levels. We…

Quantum Physics · Physics 2009-11-11 L. R. Ribeiro , Claudio Furtado , J. R. Nascimento

Analogous to Landau quantization related to a neutral particle possessing an electric quadrupole moment, we generalize such Landau quantization to include position-dependent mass (PDM) neutral particles. Using cylindrical coordinates, the…

Quantum Physics · Physics 2020-07-02 Zeinab Algadhi , Omar Mustafa

We have studied the physics of atoms with permanent electric dipole moment and non vanishing magnetic moment interacting with an electric field and inhomogeneous magnetic field. This system can be demonstrated as the atomic analogue of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Basu , S. Dhar , S. Chatterjee

We study the Landau levels associated with electrons moving in a magnetic field in the presence of a continuous distribution of disclinations, a magnetic screw dislocation and a dispiration. We focus on the influence of these topological…

Quantum Physics · Physics 2009-11-06 G. de A. Marques , Claudio Furtado , V. B. Bezerra , Fernando Moraes

In this paper we study the quantum dynamics of a neutral particle in the presence of a topological defect. We investigate the appearance of a geometric phase in the relativistic quantum dynamics of neutral particle which possesses permanent…

High Energy Physics - Theory · Physics 2009-02-20 K. Bakke , J. R. Nascimento , C. Furtado

The planar quantum dynamics of a neutral particle with a magnetic dipole moment in the presence of electric and magnetic fields is considered. The criteria to establish the planar dynamics reveal that the resulting nonrelativistic…

High Energy Physics - Theory · Physics 2014-12-09 Edilberto O. Silva

We predict a new class of quantum Hall phenomena in completely neutral systems, demonstrating that the interplay between radial electric fields and dipole moments induces exact $e^2/h$ quantization without the need for Landau levels or…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Carlos Magno O. Pereira , Edilberto O. Silva

We investigate the two-dimensional motion of relativistic cold electrons in the presence of `strictly' spatially varying magnetic fields satisfying, however, no magnetic monopole condition. We find that the degeneracy of Landau levels,…

Quantum Physics · Physics 2021-10-22 Srishty Aggarwal , Banibrata Mukhopadhyay , Gianluca Gregori

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 [A. Kratzer, Z. Phys. 3, 289 (1920)] and rotating…

Quantum Physics · Physics 2016-06-16 Abinael B. Oliveira , Knut Bakke

In this work we investigate which radial field configuration yields bound states for neutral particles showing non-zero magnetic and electric dipole moments. The main result is that, in contrast with previous works, the Landau analog levels…

High Energy Physics - Theory · Physics 2012-05-23 Cleverson Filgueiras , D. Cogollo , E. O. Silva

We investigate a charged two-dimensional particle in a homogeneous magnetic field interacting with a periodic array of point obstacles. We show that while Landau levels remain to be infinitely degenerate eigenvalues, between them the system…

Condensed Matter · Physics 2007-05-23 Pavel Exner , Alain Joye , Hynek Kovarik

Within the context of Lorentz violating extended electrodynamics, we study an analog of Landau quantization for a system where a neutral particle moves in the presence of an electromagnetic field and a constant four-vector that breaks…

High Energy Physics - Theory · Physics 2008-08-14 E. Passos , L. R. Ribeiro , C Furtado , J. R. Nascimento

We investigate the quantum dynamics of neutral atoms subject to a uniform spin-dependent gauge field. In particular, we analyze a simple experimental scheme to generate the Landau quantization in a two dimensional atomic gas with internal…

Quantum Gases · Physics 2020-01-08 Bruno Farias , Claudio Furtado

We investigate the gravitational effect on Landau levels. We show that the familiar infinite Landau degeneracy of the energy levels of a quantum particle moving inside a uniform and constant magnetic field is removed by the interaction of…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Alexandre Landry , Fayçal Hammad

The spectrum of charged particles in translation-invariant systems in a magnetic field is characterized by the Landau levels, which play a fundamental role in the thermodynamic and transport properties of solids. The topological nature and…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Isac Sahlberg , Moein N. Ivaki , Kim Pöyhönen , Teemu Ojanen

We revisit the quantum dynamics of a charged particle in a time-dependent magnetic field, a fundamental problem exhibiting rich non-adiabatic behaviour, from the complementary perspective of the Madelung fluid formulation. We first analyse…

Quantum Physics · Physics 2026-04-15 Nicolas Perez , Eyal Heifetz

We study the quantization of the motion of a charged particle without spin inside a flat box under a static electromagnetic field. Contrary to Landau's solution with constant magnetic field transverse to the box, we found a non separable…

General Physics · Physics 2020-12-02 Gustavo V. Lopez , Jorge A. Lizarraga
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