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In this article we have proved that a gradient Yamabe soliton satisfying some additional conditions must be of constant scalar curvature. Later, we have showed that in a gradient expanding or steady Yamabe soliton with non-negative Ricci…

Differential Geometry · Mathematics 2021-07-07 Absos Ali Shaikh , Prosenjit Mandal

Maxwell's equations are valid only in Lorentz frame i.e. in inertial frame where the Einstein synchronization procedure is used to assign values of the time coordinate. Einstein time order must be applied and kept in consistent way in both…

Accelerator Physics · Physics 2018-08-24 Evgeny Saldin

We construct an analytic continuum model to describe the electronic structure and the electron-phonon interaction in twisted bilayer graphenes with arbitrary lattice deformation. Starting from the tight-binding model, we derive the…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Mikito Koshino , Nguyen N. T. Nam

We propose a mechanism to actively tune the operation of plasmonic cloaks with an external magnetic field by investigating electromagnetic scattering by a dielectric cylinder coated with a magneto-optical shell. In the long wavelength limit…

Optics · Physics 2015-05-12 W. J. M. Kort-Kamp , F. S. S. Rosa , F. A. Pinheiro , C. Farina

We show that two added, excess electrons with opposite spins in one-dimensional crystal lattices with quartic anharmonicity may form a bisolectron, which is a localized bound state of the paired electrons to a soliton-like lattice…

Strongly Correlated Electrons · Physics 2011-09-20 M. G. Velarde , L. Brizhik , A. P. Chetverikov , L. Cruzeiro , W. Ebeling , G. Röpke

We investigate the possibility of self-tuning of the effective 4D cosmological constant in 6D supergravity, to see whether it could naturally be of order 1/r^4 when compactified on two dimensions having Kaluza-Klein masses of order 1/r. In…

High Energy Physics - Theory · Physics 2014-11-18 Y. Aghababaie , C. P. Burgess , S. L. Parameswaran , F. Quevedo

Soft cyclo-synchrotron photons produced by thermal electrons moving in a magnetic field can be subsequently Comptonized to produce hard X-ray and $\gamma$-ray emission. An accurate determination of the amount of soft cyclo-synchrotron…

Astrophysics · Physics 2007-05-23 Rohan Mahadevan

This paper is concerned with an inverse source problem for the three-dimensional Helmholtz equation by a single boundary measurement at a fixed frequency. We show the Lipschitz stability under the assumption that the source function is…

Analysis of PDEs · Mathematics 2020-11-25 Peijun Li , Jian Zhai , Yue Zhao

Coherent rotations of single spin-based qubits may be accomplished electrically at fixed Zeeman energy with a qubit defined solely within a single electrostatically-defined quantum dot; the $g$-factor and the external magnetic field are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jordan Kyriakidis , Stephen J. Penney

We consider a class of quasi-integrable Hamiltonian systems obtained by adding to a non-convex Hamiltonian function of an integrable system a perturbation depending only on the angle variables. We focus on a resonant maximal torus of the…

Dynamical Systems · Mathematics 2015-06-11 Livia Corsi , Roberto Feola , Guido Gentile

We analyze the generation of persistent currents in Bose-Einstein condensates of ultracold gases confined in a ring. This phenomenon has been recently investigated in an experiment [Nature \textbf{506}, 200 (2014)], where hysteresis loops…

Quantum Gases · Physics 2016-01-05 A. Muñoz Mateo , A. Gallemí , M. Guilleumas , R. Mayol

The shape of the beta decay energy distribution is sensitive to the mass of the electron neutrino. Attempts to measure the endpoint shape of tritium decay have so far seen no distortion from the zero-mass form. Here we show that a new type…

Nuclear Experiment · Physics 2019-08-14 J. A. Formaggio

Motivated by recent proposals of ``collisionally inhomogeneous'' Bose-Einstein condensates (BECs), which have a spatially modulated scattering length, we study the existence and stability properties of bright and dark matter-wave solitons…

Pattern Formation and Solitons · Physics 2009-11-13 A. S. Rodrigues , P. G. Kevrekidis , Mason A. Porter , D. J. Frantzeskakis , P. Schmelcher , A. R. Bishop

We show that the the cyclotron resonance in a two-dimensional electron gas has non-trivial properties if the correlation length of the disorder is larger than the de Broglie wavelength: (a) the lineshape assumes three different forms in…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. M. Fogler , B. I. Shklovskii

The Project 8 experiment aims to measure the neutrino mass using tritium beta decays. Beta-decay electron energies will be measured with a novel technique: as the electrons travel in a uniform magnetic field their cyclotron radiation will…

Instrumentation and Detectors · Physics 2019-08-14 N. S. Oblath

Coherent manipulation of magnetism through the lattice provides unprecedented opportunities for controlling spintronic functionalities on the ultrafast timescale. Such nonthermal control conventionally involves nonlinear excitation of…

We give a necessary and sufficient condition for strong stability of low dimensional Hamiltonian systems, in terms of the iterates of a closed orbit and the Conley-Zehnder index. Applications to Mathieu equation and stable harmonic…

Dynamical Systems · Mathematics 2022-05-17 Yanxia Deng , Daniel Offin

A techniques, describing electron dynamics for magnetic models closed to cyclical accelerators, is developed and applied to the analysis of electromagnetic radiation emitted by charged particles. Formulas for the angular characteristics of…

Accelerator Physics · Physics 2018-11-27 Oleg Shishanin

A novel coupling of the transverse betatron motion to the longitudinal microwave instability is studied. Besides the radial coherent dipole mode space charge field, simulation and theoretical studies in this paper show that the longitudinal…

Accelerator Physics · Physics 2013-09-27 Yingjie Li , Lanfa Wang

The equivalence between neutral particles under rotation and charged particles in a magnetic field relates phenomena as diverse as spinning atomic nuclei, weather patterns, and the quantum Hall effect. In their quantum descriptions,…