The purpose of this paper is to give different interpretations the first non-vanishing term (quadratic) ground state asymptotic expansion for a spin system in quantum electrodynamics, as magnetic moments go 0. One makes direct link with some classical physics laws. A central role played by an operator [Formula: see text] acting only finite-dimensional space and making connections interpretation...

We analyze the various approaches to construct exchange-correlation functionals which are able to describe states of definite spin multiplicity in the DFT realm and outline the characteristics of possible functionals consistent with the Kohn-Sham theory. To achieve this goal the unitary group technique is applied to label many-electron states of definite total spin and to calculate the correspo...

A simple model for QCD is presented, which is able to reproduce the meson spectrum at low energy. The model is a Lipkin type model for quarks coupled to gluons. The basic building blocks are pairs of quark-antiquarks coupled to a definite flavor and spin. These pairs are coupled to pairs of gluons with spin zero. The multiplicity problem, which dictates that a given experimental state can be de...

This paper analyzes how special relativity changes the equation for many-body-induced current density starting from Foldy–Wouthuysen diagonalization of Dirac–Coulomb Hamiltonian. differs that obtained with Gordon decomposition due to presence a spin-orbit coupling contribution not considered before many-body molecular systems. diverges on atomic nuclei nature point charges in nonrelativistic ap...

The CGMF code implements the Hauser-Feshbach statistical nuclear reaction model to follow de-excitation of fission fragments by successive emissions prompt neutrons and $\gamma$ rays. Monte Carlo technique is used facilitate analysis complex distributions correlations among observables. Starting from initial configurations for in mass, charge, kinetic energy, excitation spin, parity, $Y(A,Z,KE,...

In this paper we present a computation (done by the author in 1983) which yields a multiplicity one statement for the irreducible representations of a finite spin group which, in turn, yields the classification of the irreducible representations of a finite spin group. Introduction 0.1. Let G be a connected reductive group defined over a finite field Fq and let F : G → G be the corresponding Fr...

In spin-orbit coupled crystals, symmetries can protect multifold degeneracies with large Chern numbers and Brillouin zone spanning topological surface states. this work, we explore the extent to which nontrivial topology of chiral fermions impacts spin texture bulk To do so, formulate a definition spin-momentum locking in terms reduced density matrices. Using tools from theory quantum chemistry...

The magnetic molecule Fe8 has been observed to have a rich pattern of degeneracies in its magnetic spectrum as the static magnetic field applied to the molecule is varied. The points of degeneracy, or diabolical points in the magnetic field space, are found exactly in the simplest model Hamiltonian for this molecule. The points are shown to form a perfect centered rectangular lattice, and are s...