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The usual methods for formulating and solving the quantum mechanics of a particle moving in a magnetic field respect neither locality nor any global symmetries which happen to be present. For example, Landau's solution for a particle moving…

High Energy Physics - Theory · Physics 2020-04-22 Joe Davighi , Ben Gripaios , Joseph Tooby-Smith

We study the neutrino interaction rates through charged as well as neutral current weak interactions in hot, dense magnetized matter. At densities near the neutrino sphere, matter in the presence of intense magnetic field is polarized and…

High Energy Physics - Phenomenology · Physics 2010-01-06 Ashok Goyal

We study the energy spectrum and wave packet dynamics of electrons in a two-dimensional periodic potential subject to a perpendicular spatially modulated magnetic field. We observe avoided band crossings, metal-insulator transitions, and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Björn Naundorf , Roland Ketzmerick

We study spectra for a 2D electron in the lowest Landau level with randomly distributed, repulsively correlated electric impurities. The lowest energy band reflects an effective magnetic field downshifted by an integer multiple of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alfred Scharff Goldhaber , M. L. Horner

If bilayer graphene is placed in a high perpendicular magnetic field, several quantum Hall plateaus are observed at low enough temperatures. Of these, the $\sigma_{xy}=4ne^2/h$ sequence ($n\neq0$) is explained by standard Landau…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Judit Sari , Csaba Toke

In the present paper the problem of the relaxation of magnetization to equilibrium (i.e., with no magnetization) is investigated numerically for a variant of the well-known model introduced by Bohr to study the diamagnetism of electrons in…

Statistical Mechanics · Physics 2015-05-20 A. Carati , F. Benfenati , L. Galgani

The existence of helical surface states in a bulk insulator, with anomalous magneto-electric properties, is a remarkable new development in solid state physics. The linear dispersion of the the fermions leads to a form of Lorentz…

Materials Science · Physics 2012-07-10 Huazhou Wei , Sung-Po Chao , Vivek Aji

We consider an electron constrained to move on a surface with revolution symmetry in the presence of a constant magnetic field $B$ parallel to the surface axis. Depending on $B$ and the surface geometry the transverse part of the spectrum…

Mathematical Physics · Physics 2015-06-26 Pavel Exner , Alain Joye

Magnetars are neutron stars endowed with surface magnetic fields of the order of $10^{14}-10^{15}$~G, and with presumably much stronger fields in their interior. As a result of Landau quantization of electron motion, the neutron-drip…

High Energy Astrophysical Phenomena · Physics 2016-07-21 N. Chamel , Y. D. Mutafchieva , Zh. K. Stoyanov , L. M. Mihailov , R. L. Pavlov

The occurrence of Landau levels in quantum mechanics when a charged particle is subjected to a uniform magnetic field is well known. Considering the recent interest in the electronic properties of graphene, which admits a dispersion…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Aritra Ghosh

Changes in the magnetic moment of an electron near a dielectric or conducting surface due to boundary-dependent radiative corrections are investigated. The electromagnetic field is quantized by normal mode expansion for a non-dispersive…

Quantum Physics · Physics 2013-07-12 Robert Bennett , Claudia Eberlein

We study the photon self-energy in magnetized chiral plasma by solving the response of electromagnetic field perturbations in chiral kinetic theory with Landau level states. With lowest Landau level approximation and in collisionless limit,…

High Energy Physics - Phenomenology · Physics 2020-07-15 Han Gao , Zonglin Mo , Shu Lin

We show that 2+1 dimensional Dirac oscillators in an external magnetic field is mapped onto the same with reduced angular frequency in absence of magnetic field. This can be used to study the atomic transitions in a radiation field.…

High Energy Physics - Theory · Physics 2010-01-26 Bhabani Prasad Mandal , Shweta Verma

A problem of electromagnetic (EM) plane wave diffraction on a moving half-plane in a homogeneous and isotropic medium is considered. It is shown, that unlike the stationary case, the shadow boundaries of the incident and reflected wave are…

Mathematical Physics · Physics 2007-05-23 A. Ciarkowski , B. Atamaniuk

We consider a two-dimensional system in which a charged particle is exposed to a homogeneous magnetic field perpendicular to the plane and a potential that is translationally invariant in one dimension. We derive several conditions on such…

Mathematical Physics · Physics 2024-10-22 Pavel Exner , David Spitzkopf

Transport in a two-dimensional electron gas subject to an external magnetic field is analyzed in the presence of a \textit{longitudinal barrier.} We show that \textit{quantum interference of the edge states} bound by the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. M. Kadigrobov , M. V. Fistul , K. B. Efetov

We investigate the electromagnetic dynamics of spin-nondegenerate classical particle models arising from Lorentz-violating sectors of the Standard-Model Extension, focusing on the $b_\mu$ background. Starting from the type-2 relativistic…

General Physics · Physics 2026-04-07 A. A. Araújo Filho , A. F. Santos , J. A. A. S. Reis , L. Lisboa-Santos , V. B. Bezerra

According to Bliokh et al., allowing free propagation along the direction of a uniform magnetic field, the familiar Landau electron state can be regarded as a non-diffracting version of the helical electron beam propagating along the…

Quantum Physics · Physics 2020-06-24 M. Wakamatsu , Y. Kitadono , L. -P. Zou , P. -M. Zhang

In the present paper the linearized problem of plasma oscillations in slab (particularly, thin films) in external longitudinal alternating electric field is solved analytically. Specular boundary conditions of electron reflection from the…

Mathematical Physics · Physics 2011-03-22 A. V. Latyshev , A. A. Yushkanov

The effect of a weak electrical modulation on spin Hall resonance is presented here. In presence of the magnetic field normal to the plane of the motion of electron, the Landau levels are formed which get broadened due to the weak…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 SK Firoz Islam