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The magnetic field generated by an electron bound in a spherically symmetric potential is calculated for eigenstates of the orbital and total angular momentum. General expressions are presented for the current density in such states and the…

Quantum Physics · Physics 2009-10-31 K. Ayuel , P. F. de Chatel

It is well known in classical electrodynamics that the magnetic field given by a current loop and the electric field caused by the corresponding dipoles in sheets are very similar, as far as we are far away from the loop, which enables us…

Mathematical Physics · Physics 2014-02-03 Hirokazu Nishimura

Interaction of the electron spin with local elastic twists due to transverse phonons has been studied. Universal dependence of the spin relaxation rate on the strength and direction of the magnetic field has been obtained in terms of the…

Statistical Mechanics · Physics 2008-05-05 Carlos Calero , E. M. Chudnovsky , D. A. Garanin

We study the surface tension of ionic solutions at air/water and oil/water interfaces. By using field-theoretical methods and including a finite proximal surface-region with ionic-specific interactions. The free energy is expanded to…

Soft Condensed Matter · Physics 2015-03-31 Tomer Markovich , David Andelman , Rudolf Podgornik

In this work we introduce a procedure to find localized structures with finite energy. We start dealing with global monopoles, and add a new contribution to the potential of the scalar fields, to balance the contribution of the angular…

High Energy Physics - Theory · Physics 2021-10-11 D. Bazeia , M. A. Marques , M. Paganelly

We formulate a general mean-field theory of a flat electric double layer in ionic liquids and electrolyte solutions with ions possessing static polarizability and a permanent dipole moment on a charged electrode. We establish a new…

Statistical Mechanics · Physics 2021-08-17 Yu. A. Budkov , S. V. Zavarzin , A. L. Kolesnikov

Simulating protein-membrane interactions is an important and dynamic area of research. A proper definition of electrostatic forces on membrane surfaces is necessary for developing electromechanical models of protein-membrane interactions.…

Analysis of PDEs · Mathematics 2013-09-24 Michael Mikucki , Y. C. Zhou

The Dirichlet Principle is an approach to solving the Dirichlet problem by means of a Dirichlet energy integral. It is part of the folklore of mathematics that the genesis of this argument was motivated by physical analogy involving…

History and Overview · Mathematics 2026-02-03 Steven Deckelman

The boundary element method (BEM) enables solving three-dimensional electromagnetic problems using a two-dimensional surface mesh, making it appealing for applications ranging from electrical interconnect analysis to the design of…

Numerical Analysis · Mathematics 2021-12-14 Shashwat Sharma , Piero Triverio

Carter derived the forms of the metric and the vector potentials of the space-times in which the relativistic Schrodinger equation for the motion of a charged particle separates. Here we show that on each `spheroidal' surface a rotation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan R Gair , Donald Lynden-Bell

Electric double layer (EDL) formation underlies the functioning of supercapacitors and several other electrochemical technologies. Here, we study how the EDL formation near two flat blocking electrodes separated by $2L$ is affected by…

Chemical Physics · Physics 2025-09-23 David Fertig , Mathijs Janssen

In this theoretical study we qualitatively and quantitatively investigate the electric dipole spin resonance (EDSR) in a single Si/SiGe quantum dot in the presence of a magnetic field gradient, e.g., produced by a ferromagnet. We model a…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Marko J. Rančić , Guido Burkard

We applied the mean-field approach to a columnar bundle assembled by the parallel arrangement of stiff polyelectrolyte rods in a salt bath. The electrostatic potential can be divided into two regions: inside the bundle for condensed…

Soft Condensed Matter · Physics 2015-05-18 Takuya Saito , Kenichi Yoshikawa

The Euler-Heisenberg effective Lagrangian is used to obtain general expressions for electric and magnetic fields induced by non-linearity, to leading order in the non-linear expansion parameter, and for quasistatic situations. These…

High Energy Physics - Phenomenology · Physics 2015-05-13 C. A. Dominguez , H. Falomir , M. Ipinza , M. Loewe , J. C. Rojas

The bi-local fields are the quantum fields of two-particle systems, the bi-local, systems, bounded by relativistic potentials. Since those form constrained dynamical systems, it is limited to introduce the interactions of the bi-local…

High Energy Physics - Theory · Physics 2022-07-13 Kenichi Aouda , Naohiro Kanda , Shigefumi Naka , Haruki Toyoda

We present a field theory approach to study changes in local temperature due to an applied electric field (the electrocaloric effect) in electrolyte solutions. Steric effects and a field-dependent dielectric function are found to be of…

Using molecular dynamics simulations with recently developed importance sampling methods, we show that the differential capacitance of a model ionic liquid based double-layer capacitor exhibits an anomalous dependence on the applied…

We consider the flow of polarization current J(t)=dP/dt produced by a homogeneous electric field E(t) or by rapidly varying some other parameter in the Hamiltonian of a solid. For an initially insulating system and a collisionless time…

Materials Science · Physics 2009-11-10 Ivo Souza , Jorge Iniguez , David Vanderbilt

An ideal conductor electrode in contact with a semi-infinite two-dimensional two-component plasma in an external potential is considered. The model is mapped onto an integrable sine-Gordon theory with Dirichlet boundary conditions. The…

Statistical Mechanics · Physics 2011-07-19 L. Šamaj , B. Jancovici

The coherence length of the thermal electromagnetic field near a planar surface has a minimum value related to the nonlocal dielectric response of the material. We perform two model calculations of the electric energy density and the…

Optics · Physics 2009-10-17 Carsten Henkel , Karl Joulain