Mean field dynamics of boson stars
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 … WebMar 27, 2007 · [1] Elgart A and Schlein B 2007 Mean field dynamics of boson stars Commun. Pure Appl. Math. 60 500-45 Crossref Google Scholar [2] Fröhlich J, Jonsson B L G and Lenzmann E 2007 Boson stars as solitary waves Commun. Math. Phys. at press (Preprint math-ph/0512040) Preprint Google Scholar [3] Lenzmann E 2006 Well …
Mean field dynamics of boson stars
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WebMay 21, 2013 · We study the many body quantum evolution of bosonic systems in the mean field limit. The dynamics is known to be well approximated by the Hartree equation. So far, the available results have the form of a law of large numbers. 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 ...
WebWe 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 bosons are all in the same one-particle state. Starting from the N-body Schroedinger equation, we prove that, in the limit … WebMar 4, 2024 · A. Elgart and B. Schlein, Mean field dynamics of boson stars, Comm. Pure Appl. Math. 60 (2007), 500–545. ... J. Fröhlich and E. Lenzmann, Mean-field limit of quantum Bose gases and nonlinear Hartree equation, Équations …
WebMar 27, 2007 · We study solutions close to solitary waves of the pseudo-relativistic Hartree equation describing boson stars under the influence of an external gravitational field. In … 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 …
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 …
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 ... list of keywords in c++WebMar 21, 2006 · Abstract We consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or … imc. frWebMar 10, 1998 · Such field dynamics for galactic halos is described by a Schrödinger-Poisson system [1][2][3][4][5]. Hypothetical dense scalar field known as Boson stars are the ... the mean-field limit of large ... imc fresh morningWebDec 12, 2005 · Mean field dynamics of boson stars A. Elgart, B. Schlein Physics 2005 We consider a quantum mechanical system of N bosons with relativistic dispersion … imc fourchetteWebNov 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 … imc fotoWebWe study the nonlinear, nonlocal, time-dependent partial differential equation i ∂ t φ = ( − Δ + m 2 − m) φ − 1 x ∗ φ 2 φ on ℝ 3, which is known to describe the dynamics of quasi-relativistic boson stars in the mean-field limit. imc for palkiWebAug 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”) … imc fr60