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In this paper I consider all possible properties from commutative algebra for polynomial composites and monoid domains. The aim is full characterization of these structures. I start with the examination of group, ring, modules properties,…

Commutative Algebra · Mathematics 2020-06-29 Lukasz Matysiak

General formulas describing the multiple scattering of electron by polyatomic molecules have been derived within the framework of the model of non-overlapping atomic potentials. These formulas are applied to different carbon molecules, both…

Atomic Physics · Physics 2018-09-27 A. S. Baltenkov , S. T. Manson , A. Z. Msezane

Interaction of particles of many systems can be effectively approximated by multiscale interaction potentials. Such potentials are widely used for investigation of colloidal systems and colloid-polymer mixtures, complex liquids (for…

Soft Condensed Matter · Physics 2019-02-13 Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok

Ratchet effects can appear for particles interacting with an asymmetric potential under ac driving or for a thermal system in which a substrate is periodically flashed. Here, we show that a new type of collective ratchet effect can arise…

Soft Condensed Matter · Physics 2025-07-16 C. Reichhardt , C. J. O. Reichhardt

Low-energy structures of a hybrid system consisting of a polymer and an attractive nanowire substrate as well as the thermodynamics of the adsorption transition are studied by means of Monte Carlo computer simulations. Depending on…

Soft Condensed Matter · Physics 2011-07-05 Thomas Vogel , Michael Bachmann

We construct integrable pseudopotentials with an arbitrary number of fields in terms of generalized hypergeometric functions. These pseudopotentials yield some integrable (2+1)-dimensional hydrodynamic type systems. An interesting class of…

Exactly Solvable and Integrable Systems · Physics 2008-05-12 Alexander Odesskii , Vladimir Sokolov

The ability to drive a system with an external input is a fundamental aspect of light-matter interaction. The coherent perfect absorption (CPA) phenomenon extends to the general multibeam interference phenomenology the well known critical…

Optics · Physics 2016-06-02 Lorenzo Baldacci , Simone Zanotto , Alessandro Tredicucci

The process of multicomponent condensation is considered. The theory taking into account several channels of nucleation is constructed. The analytical approximate description of the whole condensation process is given. The specific…

Condensed Matter · Physics 2007-05-23 Victor Kurasov

New solvable one-dimensional quantum mechanical scattering problems are presented. They are obtained from known solvable potentials by multiple Darboux transformations in terms of virtual and pseudo virtual wavefunctions. The same method…

Quantum Physics · Physics 2015-06-17 C. -L. Ho , J. -C. Lee , R. Sasaki

The paper addresses aggregation issues for composite (modular) solutions. A systemic view point is suggested for various aggregation problems. Several solution structures are considered: sets, set morphologies, trees, etc. Mainly, the…

Software Engineering · Computer Science 2011-12-01 Mark Sh. Levin

A formula for the irregularity of abelian coverings of the projective plane is established and some applications are presented.

Algebraic Geometry · Mathematics 2009-06-01 Daniel Naie

Absorption is usually expected to be detrimental to quantum coherence effects. However, the situation for complex absorption spectra has been little studied yet. We consider the resonance fluorescence of excitons in a semiconductor quantum…

Quantum Physics · Physics 2016-03-24 P. Grünwald , W. Vogel

In experiments involving Bose condensed atoms trapped in magnetic bottles, plugging the hole in the bottle potential with a LASER beam produces a new potential with two minima, and thus a condensate order parameter (i.e. wave function) with…

Statistical Mechanics · Physics 2007-05-23 Juhao Wu , A. Widom

We discuss a possible approach to the absorption problem in Quantum Mechanics based on using of singular attractive potentials in the corresponding Schr\"{o}dinger equations. Possible criteria for selection of exact solutions of these…

Quantum Physics · Physics 2007-05-23 Vladimir D. Skarzhinsky , Juergen Audretsch

The volume coherent deflection of high-energy positive and negative particles in uniformly bent crystals is studied. The general analysis of potential scattering shows that the standard screening potential for a large class of collisions…

Accelerator Physics · Physics 2007-07-27 Gennady V. Kovalev

A microscopic model of adsorption in cluster forming systems with competing interaction is considered. The adsorption process is described by the master equation and modelled by a kinetic Monte Carlo method. The evolution of the particle…

Soft Condensed Matter · Physics 2021-09-07 E. Bildanau , V. Vikhrenko

The coherent nonlinear process where a single photon simultaneously excites two or more two-level systems (qubits) in a single-mode resonator has recently been theoretically predicted. Here we explore the case where the two qubits are…

Study of various interesting features related to the nonlinear electrical response in composite materials through a model bond percolative system.

Condensed Matter · Physics 2007-05-23 Abhijit Kar Gupta , Asok K. Sen

We study the quantum interference between impurities in d-wave superconductors within a potential scattering formalism that easily applies to multiple impurities. The evolution of the low-energy local density of states for both magnetic and…

Superconductivity · Physics 2009-11-10 Brian M. Andersen , Per Hedegard

Interatomic potentials approximate the potential energy of atoms as a function of their coordinates. Their main application is the effective simulation of many-atom systems. Here, we review empirical interatomic potentials designed to…

Materials Science · Physics 2022-11-11 Martin H. Muser , Sergey V. Sukhomlinov , Lars Pastewka
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