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This paper is concerned with the inverse elastic scattering problem to determine the shape and location of an elastic cavity. By establishing a one-to-one correspondence between the Herglotz wave function and its kernel, we introduce the…

Numerical Analysis · Mathematics 2024-09-17 Shuxin Li , Junliang Lv , Yi Wang

The position operator (defined within Schroedinger representation as usual) becomes meaningless when the usual Born-von Karman periodic boundary conditions are adopted: this fact is at the root of the polarization problem. I show how to…

Materials Science · Physics 2009-10-31 R. Resta

It is shown that the usual expression for a Feynman diagram in terms of the Feynman propagator $\Delta_F(x-y)$ can be replaced by an equivalent expression involving the positive-energy on-shell propagator $\Delta^+(x-y)$, supplemented by…

High Energy Physics - Theory · Physics 2022-07-27 F. T. Brandt , J. Frenkel , D. G. C. McKeon

When photons propagate in vacuum they may fluctuate into matter pairs thus allowing the vacuum to be polarised. This linear effect leads to charge screening and renormalisation. When exposed to an intense background field a nonlinear effect…

High Energy Physics - Phenomenology · Physics 2023-09-06 A. J. Macleod , J. P. Edwards , T. Heinzl , B. King , S. V. Bulanov

A representation of partially spatially coherent and partially polarized stationary electromagnetic fields is given in terms of mutually uncorrelated, transversely shifted, fully coherent and polarized elementary electric-field modes. This…

Optics · Physics 2015-05-19 Jani Tervo , Jari Turunen , Pasi Vahimaa , Frank Wyrowski

We derive parametric integral representations for the general $n$-point function of scalar operators in momentum-space conformal field theory. Recently, this was shown to be expressible as a generalised Feynman integral with the topology of…

High Energy Physics - Theory · Physics 2023-03-21 Francesca Caloro , Paul McFadden

In this paper we study the polarization tensor of photons in a QED plasma in the presence of a magnetic field. We do it both at vanishing and at finite temperature. We use two different methods to compute the polarization tensor components…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ulf H. Danielsson , Dario Grasso

Detailed similarities between polarization states of light and ballistic charge carriers in graphene are derived. Based on these, the optical equivalent of quantum wavefunctions, Dirac equation, and the effect of an electrostatic potential…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 D. Dragoman

Motivated by some well-known results in the phase space description of quantum optics and quantum information theory, we aim to describe the formalism of quantum field theory by explicitly considering the holomorphic representation for a…

Quantum Physics · Physics 2020-10-28 Jasel Berra-Montiel , Alberto Molgado

We construct a model describing the response of a hybrid system where the electromagnetic field - in particular, surface plasmon polaritons - couples strongly with electronic excitations of atoms or molecules. Our approach is based on the…

Quantum Physics · Physics 2020-01-01 K. S. U. Kansanen , A. Asikainen , J. J. Toppari , G. Groenhof , T. T. Heikkilä

In the present work, rotation of the polarization vector of an electromagnetic wave is extensively calculated for a rotating observer, who can also be considered as a non-inertial accelerated observer. The rotation of the polarization…

General Relativity and Quantum Cosmology · Physics 2019-04-12 Tanay Ghosh , Asoke K. Sen

A method of Foldy-Wouthuysen transformation for relativistic spin-1/2 particles in external fields is proposed. It permits determination of the Hamilton operator in the Foldy-Wouthuysen representation with any accuracy. Interactions between…

Mathematical Physics · Physics 2014-11-18 Alexander J. Silenko

There are conflicting statements in the literature about the gravitational Faraday rotation of the plane of polarization of polarized electromagnetic radiation travelling through a gravitational wave. This issue is reconsidered using a…

Astrophysics · Physics 2008-11-26 Valerio Faraoni

We generalize the modern theory of electric polarization to the case of one-dimensional non-Hermitian systems with line-gapped spectrum. In these systems, the electronic position operator is non-Hermitian even when projected into the…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 Jinbing Hu , Carmine Antonio Perroni , Giulio De Filippis , Songlin Zhuang , Lorenzo Marrucci , Filippo Cardano

A scalar field obeying a Lorentz invariant higher order wave equation, is minimally coupled to the electromagnetic field. The propagator and vertex factors for the Feynman diagrams, are determined. As an example we write down the matrix…

High Energy Physics - Theory · Physics 2015-06-26 C. G. Bollini L. E. Oxman , M. C. Rocca

We consider emission of a photon by an electron in the field of a strong laser wave. Polarization effects in this process are important for a number of physical problems. A probability of this process for circularly or linearly polarized…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Yu. Ivanov , G. L. Kotkin , V. G. Serbo

We study the far field spatial distribution of the quantum fluctuations in the transverse profile of the output light beam generated by a type II Optical Parametric Oscillator below threshold, including the effects of transverse walk-off.…

Quantum Physics · Physics 2009-11-10 Roberta Zambrini , Alessandra Gatti , Luigi Lugiato , Maxi San Miguel

It is common practice to take for granted the equality (up to the constant $\varepsilon_0$) of the electric displacement ($\bf{D}$) and electric ($\bf{E}$) field vectors in vacuum. The same happens with the magnetic field ($\bf{H}$) and the…

General Relativity and Quantum Cosmology · Physics 2023-07-14 Sébastien Fumeron , Fernando Moraes , Bertrand Berche

The field of a traveling circularly polarized electromagnetic wave and a constant magnetic field localizes fermions perpendicularly to propagation of the wave in the cross section of the order of the wavelength. Unusual exact solutions of…

Quantum Physics · Physics 2015-08-24 B. V. Gisin

New results for the fermion propagator in a laser background are presented. We show that the all orders electron propagator can be written in a compact and appealing form as a sum of sideband poles with a matrix wave function…

High Energy Physics - Phenomenology · Physics 2015-06-03 Martin Lavelle , David McMullan