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We revisit the quantum-mechanical two-dimensional harmonic oscillator with an electric field confined to a circular box of impenetrable walls. In order to obtain the energy spectrum we resort to the Rayleigh-Ritz method with polynomial and…

Quantum Physics · Physics 2024-08-06 Francisco M. Fernández , Javier Garcia , Norberto Aquino , Antonio Flores-Riveros

We present a simple yet effective theory that predicts the existence of resonant radiation bands in the deep normal group velocity dispersion region of a medium, even in absence of a zero-group velocity dispersion point. This radiation is…

The ultrarelativistic limit of the Kerr - Newman geometry is studied in detail. We find the gravitational shock wave background associated with this limit. We study the scattering of scalar fields in the gravitational shock wave geometries…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. O. Lousto , N. Sánchez

Magnetic fields surrounding spinning black holes can confine radiation and trigger superradiant instabilities. To investigate this effect, we perform the first fully-consistent linear analysis of the Ernst spacetime, an exact solution of…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Richard Brito , Vitor Cardoso , Paolo Pani

Structural resonance involves the absorption of inertial loads by a tuned structural elasticity: a process playing a key role in a wide range of biological and technological systems, including many biological and bio-inspired locomotion…

Pattern Formation and Solitons · Physics 2023-07-20 Arion Pons , Tsevi Beatus

Additional high-frequency components of the pulsar radiation in Crab Nebula are considered as a result of the resonance with the surface electromagnetic wave at nonlinear reflection from of the neutron star surface.This stimulated…

High Energy Astrophysical Phenomena · Physics 2018-10-05 V. M. Kontorovich , I. S. Spevak , V. K. Gavrikov

Using accurate computational methods, we compute the quasinormal frequencies of a massive scalar field propagating near a black hole in the framework of non-minimal Einstein-Yang-Mills theory with a non-zero cosmological constant. We show…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Alexey Dubinsky

Rotating wave approximation in a quantum spin system driven by a linearly polarized alternating magnetic field with quadrupole interaction presents is investigated in detail in this paper. The conventional way to employ the rotating wave…

Quantum Physics · Physics 2020-10-16 Wenkui Ding , Xiaoguang Wang

We show that linear scalar waves are bounded and continuous up to the Cauchy horizon of Reissner-Nordstr\"om-de Sitter and Kerr-de Sitter spacetimes, and in fact decay exponentially fast to a constant along the Cauchy horizon. We obtain our…

Analysis of PDEs · Mathematics 2020-05-28 Peter Hintz , Andras Vasy

In this paper, we study the relativistic effect on the wave functions for a bouncing particle in a gravitational field. Motivated by the equivalence principle, we investigate the Klein-Gordon and Dirac equations in Rindler coordinates with…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Ar Rohim , Kazushige Ueda , Kazuhiro Yamamoto , Shih-Yuin Lin

Nonlinear electrodynamics model in hypercomplex form is considered. Its linearization around a solution is obtained. The appropriate problem for linear waves around static dyon solution (SDS) of Born-Infeld electrodynamics is investigated.…

High Energy Physics - Theory · Physics 2007-05-23 Alexander A. Chernitskii

We investigate the scattering of scalar harmonic source fields by a periodic pillar, that is, a spatial structure that is periodic in one dimension and of finite extent in the other two. Uniqueness of scattering solutions can be abstracted…

Mathematical Physics · Physics 2011-11-21 Hairui Tu

The radiation loss of small-amplitude radially symmetric oscillons (long-living, spatially localized, time-dependent solutions) in two- and three-dimensional scalar field theories is computed analytically in the small-amplitude expansion.…

High Energy Physics - Theory · Physics 2009-11-19 Gyula Fodor , Péter Forgács , Zalán Horváth , Márk Mezei

Scalar wave propagation across a semi-infinite step or step-like discontinuity on any one boundary of the square lattice waveguides is considered within nearest-neighbour interaction approximation. An application of the Wiener-Hopf method…

Classical Physics · Physics 2023-12-21 Basant Lal Sharma

Ring quantum cascade lasers have recently gained considerable attention, showing ultrastable frequency comb and soliton operation, thus opening a way to integrated spectrometers in the midinfrared and terahertz fingerprint regions. Thanks…

Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

Electromagnetic bound states in the radiation continuum are studied for periodic double arrays of subwavelength dielectric cylinders in TM polarization. They are similar to localized waveguide mode solutions of Maxwell's equations for metal…

Mathematical Physics · Physics 2010-10-05 Friends R. Ndangali , Sergei V. Shabanov

We develop a fully nonlinear approximation to the short-wavelength limit of eccentric waves in astrophysical discs, based on the averaged Lagrangian method of Whitham (1965). In this limit there is a separation of scales between the rapidly…

Solar and Stellar Astrophysics · Physics 2019-07-10 Elliot M. Lynch , Gordon I. Ogilvie

We analyze scalar wave emission from unbound orbits in a Topological Star spacetime. Our study uses a self-force approach and leads to a Post-Newtonian reconstruction of the field along the orbit, both in the time domain and in the…

General Relativity and Quantum Cosmology · Physics 2025-03-11 G. Di Russo , M. Bianchi , D. Bini

We investigate the phase-space of a flat FRW universe including both a scalar field, $\phi,$ coupled to matter, and radiation. The model is inspired in scalar-tensor theories of gravity, and thus, related with $F(R)$ theories through…

General Relativity and Quantum Cosmology · Physics 2010-09-06 Genly Leon , Pavel Silveira , Carlos R. Fadragas