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
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