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Mean field dynamics of boson stars

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 … 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.

Numerical methods for computing ground states and dynamics of …

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 … WebWe consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or repulsive). We choose … rpnao discounts https://bassfamilyfarms.com

Majorana Representation and Mean Field Approach for Interacting …

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. 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 ... 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 … rpnbsafe.us

Majorana Representation and Mean Field Approach for Interacting …

Category:Mean Field Dynamics of Boson Stars - NASA/ADS

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Mean field dynamics of boson stars

Effective dynamics for boson stars - IOPscience - Institute …

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

Mean field dynamics of boson stars

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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 …

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 …

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 … 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, …

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.

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. rpnbsafe usWebApr 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 … rpnb security safeWebJun 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 … rpnet githubWebA 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 ... rpnb shooting tripodWebJun 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 … rpnf.caWebApr 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 … rpnb discount codeWebDec 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 … rpnb desk mounted firearm safety device