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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 … WebWe 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.

[math-ph/0504051] Mean Field Dynamics of Boson Stars

WebEfficient 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. WebMar 21, 2006 · We consider a quantum mechanical system of Nbosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or repulsive). We choose the initial wave function to describe a … maxlengthexceededexception https://ocrraceway.com

Mean Field Dynamics of Boson Stars Request PDF - ResearchGate

WebThe evolutions of a neutron star’s rotation and magnetic field (B-field) have remained unsolved puzzles for over half a century. We ascribe the rotational braking torques of pulsar to both components, the standard magnetic dipole radiation (MDR) and particle wind flow (MDR + Wind, hereafter named MDRW), which we apply to the Crab pulsar (B0531 + 21), … 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 … WebWe consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or repulsive). We choose … max length edittext android

Exotic star - Wikipedia

Category:Mean field dynamics of boson stars - Elgart - 2007

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Mean field dynamics of boson stars

Exotic star - Wikipedia

WebApr 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 … WebDec 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 …

Mean field dynamics of boson stars

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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 … 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 … WebMar 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 ...

WebWe 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 … WebApr 1, 2007 · Mean Field Dynamics of Boson Stars Authors: Alexander Elgart Virginia Tech (Virginia Polytechnic Institute and State University) Benjamin Schlein University of Zurich …

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 …

WebWe discuss the dynamics of boson stars in Sect. 4. Arguably, the most important property of boson-star dynamics concerns their stability. Approaches to analyzing their stability include linear perturbation analysis, catastrophe theory, and fully non-linear, numerical evolutions. maxlength ellipsizeWebA. Elgart and B. Schlein, Mean field dynamics of boson stars, Comm. Pure Appl. Math., 60 (2007), pp. 500--545. ... A, 160 (1937), pp. 230--241. Google Scholar. 10. J. Fröhlich and E. Lenzmann, Mean-field limit of quantum Bose gases and nonlinear Hartree equation, in Proceedings of the Séminaire Équations aux dérivées partielles ... maxlength emailWebMay 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. max length error power appsWebSep 9, 2024 · Boson stars do not fuse nuclei, and they would not emit any radiation. They'd just sit there in space, being invisible. Much like black holes. Unlike black holes, however, … max length excelWebJun 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]). heroes cruise for freeWebAug 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”) … max length fir carry.on luggageWebWe 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 … max length excel sheet name