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.