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In this work, we study second-harmonic generation a monocrystalline nanoparticle with a non-centrosymmetric crystalline lattice. It was shown that breaking the symmetry of the nanoparticle's shape can significantly affect the second…

Optics · Physics 2019-04-25 Kristina Frizyuk

We study a general double Dirac delta potential to show that this is the simplest yet versatile solvable potential to introduce double wells, avoided crossings, resonances and perfect transmission ($T=1$). Perfect transmission energies turn…

Quantum Physics · Physics 2016-06-14 Zafar Ahmed , Sachin Kumar , Mayank Sharma , Vibhu Sharma

We investigate high-harmonic generation in closed systems, using the two-level atom as a simplified model. By means of a windowed Fourier transform of the time-dependent dipole acceleration, we extract the main contributions to this process…

Atomic Physics · Physics 2007-05-23 C. Figueira de Morisson Faria , I Rotter

We construct infinite time bubble tower solutions to the critical wave maps equation taking values in the two-sphere. More precisely, for any integers $k\geq3$ and $J\geq1$, we construct a solution that is global in one time direction, has…

Analysis of PDEs · Mathematics 2026-03-06 Seunghwan Hwang , Kihyun Kim

This paper presents a new column-and-constraint generation method for two-stage robust mixed-integer programs with finite uncertainty sets. Our method combines and extends speed-up techniques used in previous column-and-constraint…

Optimization and Control · Mathematics 2025-11-04 Marc Goerigk , Dorothee Henke , Johannes Kager , Fabian Schäfer , Clemens Thielen

In this note, we study one-dimensional reflected backward doubly stochastic differential equations (RBDSDEs) with one continuous barrier and discontinuous generator (left-or right-continuous). By a comparison theorem establish here for…

Probability · Mathematics 2010-11-16 Auguste Aman , Jean Marc Owo

The problem of mass generation is addressed by a Gaussian variational method for the minimal left-right symmetric model of electroweak interactions. Without any scalar bidoublet, the Gaussian effective potential is shown to have a minimum…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fabio Siringo , Luca Marotta

This is the second part of a work aimed to study complex-phase oscillatory solutions of nonlinear symmetric hyperbolic systems. We consider, in particular, the case of one space dimension. That is a remarkable case, since one can always…

Mathematical Physics · Physics 2008-02-13 Omar Maj

Second-order topological insulators are crystalline insulators with a gapped bulk and gapped crystalline boundaries, but topologically protected gapless states at the intersection of two boundaries. Without further spatial symmetries, five…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Josias Langbehn , Yang Peng , Luka Trifunovic , Felix von Oppen , Piet W. Brouwer

The existence of a second quadratic inviscid invariant, the helicity, in a turbulent flow leads to coexisting cascades of energy and helicity. An equivalent of the four-fifth law for the longitudinal third order structure function, which is…

chao-dyn · Physics 2007-05-23 P. D. Ditlevsen , P. Giuliani

We prove the existence of maximal (and minimal) solution for one-dimensional generalized doubly reflected backward stochastic differential equation (RBSDE for short) with irregular barriers and stochastic quadratic growth, for which the…

Probability · Mathematics 2023-08-24 E. H. Essaky , M. Hassani , C. Rhazlane

On an explicit example of the Siegel superparticle we study an alternative to the harmonic superspace approach. The latter seems to be the only method for quantizing infinitely reducible first class constraints currently available. In an…

High Energy Physics - Theory · Physics 2009-10-31 Stefano Bellucci , Anton Galajinsky

This study presents an investigation of second harmonic generation (SHG) resulting from interaction of radially polarized laser beam propagating in homogeneous, unmagnetized plasma. Lorentz force and continuity equations have been used to…

Plasma Physics · Physics 2025-09-30 Shivani Aggarwal , Saumya Singh , Dinkar Mishra , Bhupesh Kumar , Pallavi Jha

We theoretically investigate the second harmonic generation (SHG) of topological insulator surface states in a perpendicular magnetic field. Our theory is based on the microscopic expression of the second-order magneto-optical conductivity…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Kainan Chang , Muhammad Zubair , Jin Luo Cheng , Wang-Kong Tse

We explore the outcomes of detailed microscopic models by calculating second- and third-harmonic generation from thin film surfaces with discontinuous free-electron densities. These circumstances can occur in structures consisting of a…

A statistical method for calculating equilibrium solutions of the shallow water equations, a model of essentially 2-d fluid flow with a free surface, is described. The model contains a competing acoustic turbulent {\it direct} energy…

Fluid Dynamics · Physics 2009-11-06 Peter B. Weichman , Dean M. Petrich

Reflectance, transmittance and absorbance of a symmetric light pulse, the carrying frequency of which is close to the frequency of interband transitions in a quantum well, are calculated. Energy levels of the quantum well are assumed…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. I. Korovin , I. G. Lang , S. T. Pavlov

We report on theoretical study of second harmonic generation in graphene. Phenomenological analysis based on symmetry arguments is carried out. It is demontrated, that in ideal graphene samples second harmonic generation is possible only if…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. M. Glazov

Two-mode nonlinear interaction (second-harmonic and second-subharmonic generation) in a planar waveguide with a small periodic corrugation at the surface is studied. Scattering of the interacting fields on the corrugation leads to…

Quantum Physics · Physics 2009-11-13 Jan Perina , Ondrej Haderka , Concita Sibilia , Mario Bertolotti , Michael Scalora

The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, has been developed.(Suchlike electronic system approximates under the definite conditions a single ideal quantum well (QW) in a strong magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. I. Korovin , I. G. Lang D. A. Contreras-Solorio , S. T. Pavlov