Mean field dynamics of boson stars
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 … 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 …
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. 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), …
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 ... 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”) …
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 … 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 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 …
WebNov 13, 2024 · We discuss the dynamics of boson stars in Sect. 4. Arguably, the most important property of boson-star dynamics concerns their stability. Approaches to … he moth.orgWebWe 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. hemotion secourismehemothorax x-rayWebThis 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 ... langham affinity credit unionWebMar 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 … hemo-tin trialWebA. 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 ... langham acreages for saleWebApr 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 … langham 5th avenue new york