2024 Mean field dynamics of boson stars

Mean field dynamics of boson stars

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August undefined, 2024

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 … 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), …

Electron. J. Differential Equations - Texas State University

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. 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 … life change giveaway

Normalized Solutions for Lower Critical Choquard Equations with ...

WebNov 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 … 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 … WebAug 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”) … life change game 攻略

Electron. J. Differential Equations - Texas State University

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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 … WebOct 1, 2024 · However, the contribution of the nonlinear interaction to the star equations of motion in the second quantized model can be decomposed into two parts: one is the single star part which is equal to nonlinear part of the equation for the star in the MF model under larger boson number limit; the other one is driven by a geometric field represented ... life change galatiansWebEfficient 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. life change giveaway scam

"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]). " - Mean field dynamics of boson stars

Mean field dynamics of boson stars

[PDF] Boson Stars as Solitary Waves Semantic Scholar

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 21, 2006 · Abstract We consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or …

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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 … 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 …

WebA. 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 ... 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 …

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 … 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 ...

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 …

WebSep 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, … mcnd ice age lyrics romanizedWebApr 1, 2007 · Mean Field Dynamics of Boson Stars Authors: Alexander Elgart Virginia Tech (Virginia Polytechnic Institute and State University) Benjamin Schlein University of Zurich … mcnd leaderWebMar 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 … life change gameWebMar 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 … life change group peachtree cityWebWe consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or repulsive). We choose … life change gifWebWe 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. life change health insurance enrollmentWebWe 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. life change group