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The dynamics of observables which are matrices depending on \hbar and taking values in classical phase space is defined retaining the terms up to the first order in \hbar of the Moyal bracket. Within this semiclassical approach a first…

介观与纳米尺度物理 · 物理学 2008-11-26 Omer F. Dayi

We calculate the ground-state of a two-dimensional electron gas in a short-period lateral potential in magnetic field, with the Coulomb electron-electron interaction included in the Hartree-Fock approximation. For a sufficiently short…

介观与纳米尺度物理 · 物理学 2009-10-31 Andrei Manolescu , Vidar Gudmundsson

In the de Broglie - Bohm formulation of quantum mechanics, the electron is stationary in the ground state of the hydrogen atom, because the quantum force exactly cancels the Coulomb attraction of the electron to the proton. In this paper it…

经典物理 · 物理学 2019-01-07 David C. Lush

We introduce a distinctive feature of spin-polarized transport, the Spin Coulomb Drag: there is an intrinsic source of friction for spin currents due to the Coulomb interaction between spin ``up'' and spin ``down'' electrons. We calculate…

强关联电子 · 物理学 2007-05-23 Irene D'Amico , Giovanni Vignale

We introduce s.n where n is the unit vector in the direction of the radius vector and s is the spin, which along with the velocity forms a spin-orbit interaction of the order of v/c whereas the usual spin-orbit interaction is of the order…

介观与纳米尺度物理 · 物理学 2007-05-23 Keshav N. Shrivastava

$O(\hbar)$ effects that modify the classical orbit of a charged particle are described for the case of a classical spin-1/2 particle moving in a constant magnetic field, using a manifestly covariant formalism reported previously. It is…

acc-phys · 物理学 2008-02-03 Patrick L. Nash

The dynamics of the spin-orbit interaction in atomic hydrogen are studied in a classical electrodynamics-like setting. A Rutherfordian atomic model is used assuming a circular electron orbit, without the quantum principle as imposed…

综合物理 · 物理学 2009-03-24 David C. Lush

We consider the dynamics of a spin-1/2 particle constrained to move in an arbitrary space curve with an external electric and magnetic field applied. With the aid of gauge theory, we successfully decouple the tangential and normal dynamics…

介观与纳米尺度物理 · 物理学 2020-06-24 Guo-Hua Liang , Yong-Long Wang , Meng-Yun Lai , Hao Zhao , Hong-Shi Zong , Hui Liu

The electronic spin precession in semiconductor dots is strongly affected by the spin-orbit coupling. We present a theory of the electronic spin resonance at low magnetic fields that predicts a strong dependence on the dot occupation, the…

介观与纳米尺度物理 · 物理学 2009-11-07 Manuel Valin-Rodriguez , Antonio Puente , Llorens Serra , Enrico Lipparini

In this work, we investigate how both rotation and a Coulomb potential affect the quantum mechanical description of a spin-$1/2$ particle in the presence of the Aharonov-Bohm effect. We employ the method of the self-adjoint extensions in…

量子物理 · 物理学 2023-02-09 Márcio M. Cunha , Fabiano M. Andrade , Edilberto O. Silva

It is pointed out that Coleman and Van Vleck make a major blunder in their discussion of the Shockly-James paradox by designating relativistic hidden mechanical momentum as the basis for resolution of the paradox. This blunder has had a…

经典物理 · 物理学 2015-04-07 Timothy H. Boyer

The different types of orbits in the classical problem of two particles with equal masses and opposite charges on a plane under the influence of a constant orthogonal magnetic field are classified. The equations of the system are reduced to…

数学物理 · 物理学 2020-02-03 M. A. Gonzalez Leon , J. Mateos Guilarte , M. de la Torre Mayado

A new classical electromagnetic analysis is presented suggesting that the Aharonov-Bohm phase shift is overwhelmingly likely to arise from a classical lag effect based upon classical electromagnetic forces. The analysis makes use of several…

经典物理 · 物理学 2014-08-27 Timothy H. Boyer

We consider the forces acting on electrons in magnetic field including the constraints and a condition arising from quantum mechanics. The force is calculated as the electron mass, $m_e$, multiplied by the total time-derivative of the…

超导电性 · 物理学 2024-10-02 Hiroyasu Koizumi

We study transport in normal metals in an external magnetic field. This system exhibits an interplay between a transverse spin imbalance (spin Hall effect) caused by the spin-orbit interaction, a Hall effect via the Lorentz force, and spin…

介观与纳米尺度物理 · 物理学 2009-11-11 R. V. Shchelushkin , Arne Brataas

The compressibility of a two-dimensional electron system with spin in a spatially correlated random potential and a quantizing magnetic field is investigated. Electron-electron interaction is treated with the Hartree-Fock method. Numerical…

介观与纳米尺度物理 · 物理学 2007-05-23 Alexander Struck , Bernhard Kramer

The anomalous Hall effect is mainly used to probe the magnetization orientation in ferromagnetic materials. A less explored aspect is the torque acting back on magnetization, an effect that can be important at high currents. The spin-orbit…

介观与纳米尺度物理 · 物理学 2020-06-24 Ioan Tudosa

We discuss the rate of relaxation of the total spin in the two-electron droplet in the vicinity of the magnetic field driven singlet-triplet transition. The total spin relaxation is attributed to spin-orbit and electron-phonon interactions.…

介观与纳米尺度物理 · 物理学 2009-11-07 S. Dickmann , P. Hawrylak

The Aharonov-Bohm phase shift in a particle interference pattern when electrons pass a long solenoid is identical in form with the optical interference pattern shift when a piece of retarding glass is introduced into one path of a two-beam…

经典物理 · 物理学 2023-08-16 Timothy H. Boyer

We study the effect of the electron-electron interaction on the transport of spin polarized currents in metals and doped semiconductors in the diffusive regime. In addition to well-known screening effects, we identify two additional…

强关联电子 · 物理学 2009-11-07 Irene D'Amico , Giovanni Vignale