Mean field dynamics of boson stars
WebJun 17, 2024 · Fröhlich, B. L. G. Jonsson and E. Lenzmann, Effective dynamics for boson stars, Nonlinearity 20(5) (2007) 1031–1075. ... Lewin, Mean-field limit of Bose systems: Rigorous results, in Proceedings of the International Congress of … WebJun 19, 2007 · We study the nonlinear equation. i \partial_t \psi = (\sqrt {-\Delta + m^2} - m)\psi - ( x ^ {-1} \ast \psi ^2 ) \psi \quad {\rm on}\,\mathbb {R}^3. which is known to …
Mean field dynamics of boson stars
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WebJun 1, 2011 · (1.1) is called the Boson star equation, which arises as an effective description of pseudorelativistic Boson stars, and u(t, x) is a complex-valued wave field (see [19]). WebOct 1, 2024 · In this work, we investigate the second quantized model and the mean-field model for the interacting-boson system in the Majorana representation. It is shown that …
WebApr 15, 2005 · [PDF] Mean field dynamics of boson stars Semantic Scholar We consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a … WebDec 12, 2005 · Boson Stars as Solitary Waves. We study the nonlinear equation on $\RR^3$, which is known to describe the dynamics of pseudo-relativistic boson stars in the mean …
WebA boson star is a hypothetical astronomical object formed out of particles called bosons (conventional stars ... (2016) have theorized that a new type dense axion star may exist in which gravity is balanced by the mean-field pressure of the axion Bose-Einstein condensate. The possibility that dense axion stars exist has been challenged by other ... WebThis equation was derived recently for describing the mean field dynamics of boson stars. In its numerics, due to the appearance of pseudodifferential operator which is defined in phase space via symbol, spectral method is more suitable for the discretization in space than other numerical methods such as finite difference method, etc. For ...
WebWe consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or repulsive). We choose …
book qatar with aviosWebWe present a generalisation of the curative initial data construction derived for equal-mass compact binaries in Helfer et al (2024 Phys. Rev. D 99 044046; 2024 Class. Quantum Grav. 39 074001) to arbitrary mass ratios. We demonstrate how these improved initial data avoid substantial spurious artifacts in the collision dynamics of unequal-mass boson-star … book qatar world cup ticketsWebEfficient and accurate numerical methods are presented for computing ground states and dynamics of the three-dimensional (3D) nonlinear relativistic Hartree equation both without and with an external potential. This equation was derived recently for describing the mean field dynamics of boson stars. book qatar flightsWebWe study solutions close to solitary waves of the pseudo-relativistic Hartree equation describing boson stars under the influence of an external gravitational field. In particular, we analyse the long-time effective dynamics of such solutions. In essence, we establish a (long-time) stability result for solutions describing boson stars that move under the influence of … book qatar flight with qantas pointsWebApr 15, 2005 · Abstract: We consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or repulsive). We choose the initial wave function to describe a condensate, where the N … bookquest used booksWebNov 29, 2024 · Our analysis suggests bosonic stars have different stability properties in the scalar (vector) case, which we tentatively relate to its toroidal (spheroidal) morphology. A … godzilla 2000 atomic breath soundWebAug 31, 2024 · There are a number of publications on relativistic objects dealing either with black holes or naked singularities in the center. Here we show that there exist static spherically symmetric solutions of Einstein equations with a strongly nonlinear scalar field, which allow the appearance of singularities of a new type (“spherical singularities”) … book questionsbook uhaul