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We construct solutions in purely gravitational bulk with flat vacuum branes without fine tuning the constants of the theory. Our solutions incorporate one or two branes and have topology S^1 x R^4 without Z_2 symmetry. They are not…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yu. V. Shtanov

This article describes a method for constructing approximations to periodic solutions of dynamic Lorenz system with classical values of the system parameters. The author obtained a system of nonlinear algebraic equations in general form…

Numerical Analysis · Mathematics 2021-02-10 Alexander N. Pchelintsev

We analyze the calculation of bound states for a nonrelativistic spin-half neutral particle under the influence of a Coulomb-like potential induced by Lorentz symmetry breaking effects. We show that the truncation condition proposed by the…

Quantum Physics · Physics 2020-09-29 Francisco M. Fernández

In framework of classical consideration of electron trajectories in crossed electric and magnetic fields and conductivity of electron system on cyclotron resonance in single layer graphene possibility to achieve cyclotron lasing in…

Mesoscale and Nanoscale Physics · Physics 2022-02-14 A. Andronov , V. Pozdniakova

We compute the spectra of the Laplace-Beltrami operator, the connection Laplacian on 1-forms and the Einstein operator on symmetric 2-tensors on the sine-cone over a positive Einstein manifold $(M, g)$. We conclude under which conditions on…

Differential Geometry · Mathematics 2021-06-15 Klaus Kroencke

We obtain a system of exact solutions of the Dirac equation for an electron moving in a constant homogeneous external magnetic field with account of its vacuum magnetic moment and assumed Lorentz invariance violation in the minimal CPT-odd…

High Energy Physics - Theory · Physics 2008-11-26 I. E. Frolov , V. Ch. Zhukovsky

We predict high-order harmonics in which the polarization within the spectral bandwidth of each harmonic varies continuously and significantly. For example, the interaction of counter-rotating circularly-polarized bichromatic drivers having…

Optics · Physics 2014-10-24 Avner Fleischer , Ofer Kfir , Pavel Sidorenko , Oren Cohen

We investigate the effect of a constant threshold correction to a general non-extreme, static, spherically symmetric, electrically charged black hole solution of the dilatonic Einstein-Maxwell Lagrangian, with an arbitrary coupling $\beta$…

High Energy Physics - Theory · Physics 2009-10-30 Kwan-Leung Chan

We report generation of high harmonics in a gas-jet pumped by pulses self-compressed in a He-filled hollow-core photonic crystal fiber through the soliton effect. The gas-jet is placed directly at the fiber output. As the energy increases…

We use the theory of isoparametric functions to investigate gradient Ricci solitons with constant scalar curvature. We show rigidity of gradient Ricci solitons with constant scalar curvature under some conditions on the Ricci tensor, which…

Differential Geometry · Mathematics 2014-09-12 Manuel Fernandez-Lopez , Eduardo Garcia-Rio

We investigated the magnetoterahertz response of the Dirac semimetal Cd$_3$As$_2$ and observed a particularly low frequency optical phonon, as well as a very prominent and field sensitive cyclotron resonance. As the cyclotron frequency is…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Bing Cheng , T. Schumann , Y. C. Wang , X. S. Zhang , D. Barbalas , S. Stemmer , N. P. Armitage

Equations of Hammerstein type cover large variety of areas and are of much interest to a wide audience due to the fact that they have applications in numerous areas. Suitable conditions are imposed to obtain a strong convergence result for…

Functional Analysis · Mathematics 2021-12-15 M. O. Aibinu , S. C. Thakur , S. Moyo

We establish spectral rigidity for spherically symmetric manifolds with boundary and interior interfaces determined by discontinuities in the metric under certain conditions. Rather than a single metric, we allow two distinct metrics in…

Analysis of PDEs · Mathematics 2023-12-08 Joonas Ilmavirta , Maarten V. de Hoop , Vitaly Katsnelson

A simplified analytical model based on the charge drift approximation has been developed. It considers the resonant interaction of the synchronous wave with the flow of Larmor electrons in a magnetron. The model predicts stable coherent…

Accelerator Physics · Physics 2018-06-19 G. Kazakevich , R. Johnson , V. Lebedev , V. Yakovlev

We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic…

Quantum Physics · Physics 2007-05-23 M. Trippenbach , M. Matuszewski , B. A. Malomed

Cyclotron decay and absorption rates have been well studied in the literature, focusing primarily on spectral, angular and polarization dependence. Astrophysical applications usually do not require retention of information on the electron…

Astrophysics · Physics 2009-11-11 Matthew G. Baring , Peter L. Gonthier , Alice K. Harding

The non-trivial topological features in the energy band of non-Hermitian systems provide promising pathways to achieve robust physical behaviors in classical or quantum open systems. A key topological feature, unique to non-Hermitian…

We model the phase oscillations of electrons in race-track microtrons by means of an area preserving map with a fixed point at the origin, which represents the synchronous trajectory of a reference particle in the beam. We study the…

Dynamical Systems · Mathematics 2023-09-19 Yu. A. Kubyshin , O. Larreal , R. Ramírez-Ros , T. M. Seara

In this paper we show how to realize all knot (and link) types as C^{2} smooth curves of constant curvature. Our proof is constructive: we build the knots with copies of a fixed finite number of "building blocks" that are particular…

Geometric Topology · Mathematics 2007-05-23 Jenelle Marie McAtee

A general process is proposed to experimentally design anisotropic inhomogeneous metamaterials obtained through a change of coordinate in the Helmholtz equation. The method is applied to the case of a cylindrical transformation that allows…

Computational Physics · Physics 2019-04-15 Lucas Pomot , Cédric Payan , Marcel Remillieux , Sébastien Guenneau