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We introduce a new class of models for interacting particles. Our construction is based on Jacobians for the radial coordinates on certain superspaces. The resulting models contain two parameters determining the strengths of the…

Mathematical Physics · Physics 2010-01-18 Heiner Kohler , Thomas Guhr

We investigate the interaction between a light beam and a two-dimensional photonic lattice that is photo-induced in a photorefractive crystal using partially coherent light. We demonstrate that this interaction process is associated with a…

Pattern Formation and Solitons · Physics 2009-11-10 Hector Martin , Eugenia D. Eugenieva , Zhigang Chen , Demetrios N. Christodoulides

A Hamiltonian approach is introduced in order to address some severe problems associated with the physical description of the dynamical Casimir effect at all times. For simplicity, the case of a neutral scalar field in a one-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 Jaume Haro , Emilio Elizalde

We discuss different applications and potentials of reciprocal bianisotropic metasurfaces including uniform and gradient metasurfaces, in particular, with anisotropic, chiral, and omega properties. Based on an analytic analysis, we discuss…

Discrete interaction models for the classical harmonic oscillator are used for introducing new mathematical generalizations in the usual continuous formalism. The inverted harmonic potential and generalized discrete hyperbolic and…

High Energy Physics - Theory · Physics 2007-05-23 Manoelito M. de Souza

Optical microscopy and multi-particle tracking are used to investigate the cross-correlated diffusion of quasi two-dimensional (2D) colloidal particles near an oil-water interface. It is shown that the effect of the interface on correlated…

Soft Condensed Matter · Physics 2015-06-15 Wei Zhang , Song Chen , Na Li , Jiazheng Zhang , Wei Chen

The effect of mutual interaction between dark solitons and dispersive waves is investigated numerically and analytically. The condition of the resonant scattering of dispersive waves on dark solitons is derived and compared against the…

Optics · Physics 2016-02-19 Ivan Oreshnikov , Rodislav Driben , Alexey Yulin

A nonlinear Fokker-Planck equation is obtained in the continuous limit of a one-dimensional lattice with an energy landscape of wells and barriers. Interaction is possible among particles in the same energy well. A parameter $\gamma$,…

Statistical Mechanics · Physics 2016-01-20 G. Suárez , M. Hoyuelos , H. Mártin

The method of image charges is a powerful and elegant technique in electrostatics, commonly used to determine the electric field generated by point charges near conductors of various shapes. While standard problems focus on single charges…

Classical Physics · Physics 2025-12-02 Farhang Loran , Saman Moghimi-Araghi

The pi+ d scattering and the d(p,n) charge exchange reaction are used to study the Delta-Nucleon interaction in the Delta resonance energy region. Various observables, such as inclusive and exclusive cross sections, angular distributions,…

Nuclear Theory · Physics 2011-03-17 C. A. Mosbacher , F. Osterfeld

We theoretically study reflection of light by a phase-conjugating mirror preceded by a partially reflecting normal mirror. The presence of a suitably chosen normal mirror in front of the phase conjugator is found to greatly enhance the…

Optics · Physics 2009-10-31 M. Blaauboer , D. Lenstra , A. Lodder

We construct and dynamically evolve dipolar, self-interacting scalar boson stars in a model with sextic (+ quartic) self-interactions. The domain of existence of such dipolar $Q$-stars has a similar structure to that of the fundamental…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Pedro Ildefonso , Miguel Zilhão , Carlos Herdeiro , Eugen Radu , Nuno M. Santos

We consider a multi-scalar field model in the Jordan frame which can be seen as a two-scalar field model where the Brans-Dicke field interacts in the kinetic part with the second scalar field. This theory under a conformal transformation…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Andronikos Paliathanasis

Based on the concept of complementary media, we propose a novel design which can enhance the electromagnetic wave scattering cross section of an object so that it looks like a scatterer bigger than the scale of the device. Such a…

Optics · Physics 2009-11-13 Tao Yang , Huanyang Chen , Xudong Luo , Hongru Ma

In the scalar-tensor theory of gravitation it seems nontrivial to establish if solutions of the cosmological equations in the presence of a cosmological constant behave as attractors independently of the initial values. We develop a general…

High Energy Physics - Theory · Physics 2009-11-06 Kei-ichi Maeda , Yasunori Fujii

We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet…

Quantum Physics · Physics 2018-03-23 Michael Bordag , Irina G. Pirozhenko

The spectrum of an exactly solvable non-relativistic system of a charged particle interacting with a quantized electromagnetic mode is studied with various polarizations. Quasiparticle dispersion relations can be derived from the…

Quantum Physics · Physics 2017-06-13 P. Mati

We point out, by exhibiting two examples and mentioning a third one, that it is sometimes useful to consider Lorentz transformations as generated from hyperplane or line reflections. One example concerns the construction of boosts linking…

Mathematical Physics · Physics 2007-05-23 H. K. Urbantke

Conventional mirrors obey Snell's reflection law: a plane wave is reflected as a plane wave, at the same angle. To engineer spatial distributions of fields reflected from a mirror, one can either shape the reflector (for example, creating a…

Optics · Physics 2015-03-11 V. S. Asadchy , Y. Radi , J. Vehmas , S. A. Tretyakov

Motivated by the recent theoretical study of (bright) soliton diode effects in systems with multiple scatterers, as well as by experimental investigations of soliton-impurity interactions, we consider some prototypical case examples of…

Pattern Formation and Solitons · Physics 2017-08-23 F. Tsitoura , Z. A. Anastassi , J. L. Marzuola , P. G. Kevrekidis , D. J. Frantzeskakis