Gauge independent formulation of dynamics of charged extended objects
Gauge transformations and inverse quantum scattering with medium-range magnetic fields.
Hamiltonians for systems of N particles interacting through point interactions
Hartree-Fock theory in nuclear physics
Heavy molecules in the strong magnetic field
Improved estimate on the number of bound states of negatively charged bosonic atoms
Infrared catastrophe in a massless Feynman function
Integrable models of interaction of matter with radiation.
Integral Quadratic Forms, Kac-Moody Algebras, and Fractional Quantum Hall Effect. An ADE- Classification
Introduction to magnetic resonance imaging for mathematicians
The basic concepts and models used in the study of nuclear magnetic resonance are introduced. A simple imaging experiment is described, as well as, the reduction of the problem of selective excitation to a classical problem in inverse scattering.
Kac-Moody algebras: An introduction for physicists
Landau-Zener transitions through small electronic eigenvalue gaps in the Born-Oppenheimer approximation
Lattice field theory with the sign problem and the maximum entropy method.
Limit distributions of many-particle spectra and q-deformed Gaussian variables
We find the limit distributions for a spectrum of a system of n particles governed by a k-body interaction. The hamiltonian of this system is modelled by a Gaussian random matrix. We show that the limit distribution is a q-deformed Gaussian distribution with the deformation parameter q depending on the fraction k/√n. The family of q-deformed Gaussian distributions include the Gaussian distribution and the semicircular law; therefore our result is a generalization of the results of Wigner [Wig1,...
Limit on the excess negative charge of a dynamic diatomic molecule
Local Changes in Lipid Composition to Match Membrane Curvature
A continuum mechanical model based on the Helfrich Hamiltonian is devised to investigate the coupling between lipid composition and membrane curvature. Each monolayer in the bilayer is modeled as a freely deformable surface with a director field for lipid orientation. A scalar field for the mole fraction of two lipid types accounts for local changes in composition. It allows lipids to access monolayer regions favorable to their intrinsic curvature at the expense of increasing entropic free energy....
Localization of light particles on fermion induced domain walls.
Localization of the essential spectrum for relativistic -electron ions and atoms.
Macro- and microsimulations for a sublimation growth of SiC single crystals.
Many-body aspects of approach to equilibrium
Kinetic theory and approach to equilibrium is usually studied in the realm of the Boltzmann equation. With a few notable exceptions not much is known about the solutions of this equation and about its derivation from fundamental principles. In 1956 Mark Kac introduced a probabilistic model of interacting particles. The velocity distribution is governed by a Markov semi group and the evolution of its single particle marginals is governed (in the infinite particle limit) by a caricature of the spatially...