13 citations · 26 across the 6 of their papers we have counts for
8 papers
Apriori Estimates for Many-Body Hamiltonian Evolution of Interacting Boson System
Manoussos G. Grillakis, Dionisios Margetis
We study the evolution of a many-particle system whose wave function obeys the N-body Schroedinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle…
Anisotropic diffusion in continuum relaxation of stepped crystal surfaces
John Quah, Dionisios Margetis
We study the continuum limit in 2+1 dimensions of nanoscale anisotropic diffusion processes on crystal surfaces relaxing to become flat below roughening. Our main result is a conti…
Anisotropic step stiffness from a kinetic model of epitaxial growth
Dionisios Margetis, Russel E. Caflisch
Starting from a detailed model for the kinetics of a step edge or island boundary, we derive a Gibbs-Thomson type formula and the associated step stiffness as a function of the ste…
Unified continuum approach to crystal surface morphological relaxation
Dionisios Margetis
A continuum theory is used to predict scaling laws for the morphological relaxation of crystal surfaces in two independent space dimensions. The goal is to unify previously disconn…
Impurity and quaternions in nonrelativistic scattering from a quantum memory
Dionisios Margetis, Manoussos G. Grillakis
Models of quantum computing rely on transformations of the states of a quantum memory. We study mathematical aspects of a model proposed by Wu in which the memory state is changed…
Solvable model for pair excitation in trapped Boson gas at zero temperature
Dionisios Margetis
In Bose-Einstein condensation, a macroscopically large number of particles occupy the same single-particle quantum state. Our goal is to study time-dependent aspects of particle ex…