An elementary field-theoretic mechanism is proposed that allows one Lagrangian to describe a family of particles having different masses but otherwise similar physical properties. The mechanism relies on the observation that the Dyson-Schwinger equations derived from a Lagrangian can have many different but equally valid solutions. Nonunique solutions to the Dyson-Schwinger equations arise when...

Contents 1. Introduction 2. Electronic states in a weakly oblated ellipsoidal quantum dot (impermeable walls). 3. The model of finite deep rectangular ellipsoidal well 4. Strongly oblated ellipsoidal quantum dot 5. Strongly prolated ellipsoidal quantum dot 6. Electronic states in a cylindrical quantum dot having elliptical lens shaped cross section 7. Electronic states in a cylindrical quantum ...

Small high density lipoproteins (SHDL) contribute to the protection from atherosclerosis, but detailed information about their properties is not available yet. We isolated four of the smallest HDL subclasses that contain apoA-I alone, the small lipoprotein A-I (SLpAI), by their separation on gradient polyacrylamide gel followed by electroelution. Their physico-chemical properties were calculate...

In this paper, the design and experimental demonstration of a snapshot linear-Stokes imaging spectropolarimeter (SLSIS) is presented. The SLSIS, which is based on division-of-focal-plane polarimetry with four parallel linear polarization channels and integral field spectroscopy with numerous slit dispersive paths, has no moving parts and provides video-rate Stokes-vector hyperspectral datacubes...

Nowadays, there are quite a few formulations of non-Abelian Stokes theorem (NAST) available (for review see, e.g., Ref. [1] and references therein). Generically there exist two principal approaches, the operator [2] and the pathintegral [3] one. We consider a new version of non-Abelian Stokes theorem [4] for SU(2) valued Wilson loops in the fundamental representation. The basic idea is to intro...

We make a detailed study of particular third order linear ordinary di erential equations with a large parameter of Laplace type through integral representations of their solutions, hoping that it will give us a better understanding of the redundant new turning points. In the particular examples we discuss, the redundancy is tied up with a simple function-theoretic property of a real one-dimensi...

With methods of potential theory we develop a representation of the solution of a coupled Stokes-Darcy model in a Lipschitz domain for boundary data in H−1/2.

Numerical simulations of two-phase flows driven by viscosity (e.g. for bubble motions in glass melting process) rely on the ability to efficiently compute the solutions to discretized Stokes equations. When using boundary element methods to track fluid interfaces, one usually faces the problem of solving linear systems with a dense matrix with a size proportional to the system number of degrees...