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A PRIORI ESTIMATES FOR MANY-BODY HAMILTONIAN EVOLUTION OF INTERACTING BOSON SYSTEM
Dispersive estimates interaction Morawetz type (correlation) estimates many-body Hamiltonian many-body Schrodinger equation quantum hydrodynamics BBGKY hierarchy
2015/10/16
We study the evolution of a many-particle system whose wave function obeys the N-body Schr¨ odinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle interactions in the...
Solvable model for pair excitation in trapped Boson gas at zero temperature
Solvable model pair excitation trapped Boson gas zero temperature
2015/10/16
In Bose–Einstein condensation (BEC), particles occupy a single-particle quantum state, , macroscopically. At zero temperature, the wavefunction for is usually described via a nonlinear Schrodinger ...
A FAST ALGORITHM FOR THE ENERGY SPACE BOSON BOLTZMANN COLLISION OPERATOR
Quantum Boltzmann equation energy space boson Boltzmann equation recursive domain decomposition double convolution fast Fourier transform
2015/7/14
This paper introduces a fast algorithm for the energy space boson Boltzmann collision operator. Compared to the direct O(N3) calculation and the previous O(N2 log N) method [Markowich and Pareschi, 20...
Fast conservative and entropic numerical methods for the Boson Boltzmann equation
Boson Boltzmann equation condensation quadrature formulas fast algorithms
2010/12/6
In this paper we derive accurate numerical methods for the quantum Boltzmann equation for a gas of interacting bosons. The schemes preserve the main physical features of the continuous problem, namely...
In this article we study global in time (not necessarily small) solutions of the equation for the Higgs boson in the Minkowski and in the de Sitter spacetimes. We reveal some qualitative behavior of t...
The phenomenon of spontaneous symmetry breaking is well known. It is known to be accompanied with the appearance of the `Goldstone boson'. In this paper we construct the canonical coordinates of the G...