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We study the Foldy-Wouthuysen transformation for a pseudoclassical particle with anomalous magnetic moment in an external, stationary electromagnetic field. We show that the transformation can be expressed in a closed form for neutral…

High Energy Physics - Theory · Physics 2009-08-17 A. Barducci , R. Giachetti , G. Pettini

We discuss the equations for the bound one-active electron states based on the analytic solutions of the Schrodinger and Pauli equations for a uniform magnetic field and a single attractive $\delta({\bf r})$-potential. It is vary important…

High Energy Physics - Phenomenology · Physics 2015-05-27 V. N. Rodionov , G. A. Kravtsova

We consider an electron with an anomalous magnetic moment g>2 confined to a plane and interacting with a nonzero magnetic field B perpendicular to the plane. We show that if B has compact support and the magnetic flux in the natural units…

Mathematical Physics · Physics 2007-05-23 F. Bentosela , R. M. Cavalcanti , P. Exner , V. A. Zagrebnov

We calculate the energy spectrum of an electron moving in a two-dimensional lattice which is defined by an electric potential and an applied perpendicular magnetic field modulated by a periodic surface magnetization. The spatial direction…

Condensed Matter · Physics 2007-05-23 Rolf R. Gerhardts , Daniela Pfannkuche , Vidar Gudmundsson

We extend the well known phenomenon of magnetoresistance (extra resistivity of materials in transverse magnetic field) to a new and unexplored regime where in addition to a transverse magnetic field, a transverse AC field of resonant…

Strongly Correlated Electrons · Physics 2017-12-11 Navinder Singh , Luxmi Rani

In a recent paper [B. A. Piot et al., Phys. Rev. B 72, 245325 (2005)], we have shown that the lifting of the electron spin degeneracy in the integer quantum Hall effect at high filling factors should be interpreted as a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. A. Piot , D. K. Maude , M. Henini , Z. R. Wasilewski , J. A. Gupta , K. J. Friedland , R. Hey , K. H. Ploog , U. Gennser , A. Cavanna , D. Mailly , R. Airey , G. Hill

For a twisted (vortex) Dirac particle in nonuniform electric and magnetic fields, the relativistic Foldy-Wouthuysen Hamiltonian is derived including high order terms describing new effects. The result obtained shows for the first time that…

Quantum Physics · Physics 2019-02-20 Alexander J. Silenko , Pengming Zhang , Liping Zou

We report on magneto-transport measurements of a two-dimensional electron gas confined in a Cd$_{0.997}$Mn$_{0.003}$Te quantum well structure under conditions of vanishing Zeeman energy. The electron Zeeman energy has been tuned via the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 F. J. Teran , M. Potemski , D. K. Maude , T. Andrearczyk , J. Jaroszynski , T. Wojtowicz , G. Karczewski

The relativistic semiclassical evolution of the position of an electron in the presence of an external electromagnetic field is studied in terms of a Newton equation that incorporates spin effects directly. This equation emerges from the…

Quantum Physics · Physics 2017-11-13 R. Gutierrez-Jauregui , R. Perez-Pascual , R. Jauregui

Recent in-plane thermal (Nernst) and interlayer (tunnelling) transport experiments in Bi$_2$Sr$_2$CaCu$_2$O$_{8+y}$ high temperature superconductors report hugely different limiting magnetic fields. Based on pairing (and the uncertainty…

Superconductivity · Physics 2009-11-10 L. Krusin-Elbaum , G. Blatter , T. Shibauchi

Recent advances in high-precision spectroscopy of highly charged ions necessitate an understanding of energy shifts of ionic levels caused by external electric and magnetic fields. Beyond the well-known Stark and linear Zeeman shifts,…

Atomic Physics · Physics 2024-11-11 Jan Gilles , Stephan Fritzsche , Lukas J. Spieß , Piet O. Schmidt , Andrey Surzhykov

We formulate the Migdal-Eliashberg theory of electron-phonon interactions in terms of classical spins by mapping the free energy to a Heisenberg spin chain in a Zeeman magnetic field. Spin components are energy-integrated normal and…

Superconductivity · Physics 2022-08-29 Emil A. Yuzbashyan , Boris L. Altshuler

Upcoming experiments on the interaction of electrons with intense laser fields are envisaged to become more and more accurate, which calls for theoretical computations of rates and probabilities with correspondingly higher precision. In…

High Energy Physics - Phenomenology · Physics 2021-10-13 A. Di Piazza , T. Pătuleanu

Within the Sommerfeld atomic model the quantization of magnetic flux through the electronic orbits is investigated together with its dependency on additional sources of magnetic fields. These sources alter the magnetic flux through the…

Quantum Physics · Physics 2013-02-26 W. -D. R. Stein

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…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Guo-Hua Liang , Yong-Long Wang , Meng-Yun Lai , Hao Zhao , Hong-Shi Zong , Hui Liu

We have studied the magnetic field dependence of the ground state energies in a small Si quantum dot. At low fields the first five electrons are added in a spin-up -- spin-down sequence minimizing the total spin. This sequence does not hold…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. P. Rokhinson , L. J. Guo , S. Y. Chou , D. C. Tsui

We report on a study of the temperature and Zeeman-coupling-strength dependence of the one-particle Green's function of a two-dimensional (2D) electron gas at Landau level filling factor $\nu =1$ where the ground state is a strong…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Marcus Kasner , J. J. Palacios , A. H. MacDonald

We conduct photoluminescence microscopy that is sensitive to both electron and nuclear spin polarization to investigate the changes that occur in the magnetic ordering in the vicinity of the first integer quantum Hall state in a GaAs 2D…

Strongly Correlated Electrons · Physics 2018-10-17 John N. Moore , Hikaru Iwata , Junichiro Hayakawa , Takaaki Mano , Takeshi Noda , Naokazu Shibata , Go Yusa

A general method of the Foldy-Wouthyusen (FW) transformation for relativistic particles of arbitrary spin in strong external fields has been developed. The use of the found transformation operator is not restricted by any definite…

Mathematical Physics · Physics 2013-10-31 Alexander J. Silenko

We study the electron self--energy in a strong magnetic field when the parameter \eta\equiv (\alpha/2\pi) \ln^2 (eB/m^2_0) \sim 1 and explore the transition between the perturbative regime \eta<<1 and the nonperturbative massless QED regime…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. P. Gusynin , A. V. Smilga