We develop a Radon like transformation, in which P quasiprobability distribution for spin 1/2 states is written in terms of the tomographic probability distribution w.

This chapter presents a study of the magnetic properties and magnetic interaction mechanisms in a series of thiazyl radicals, which are of particular interest in the field of molecular magnetism. The chapter is organized as follows. First, there is an introduction to organic molecular magnetism and thiazyl radicals. The importance of an accurate knowledge of the spin density distribution in ord...

Abstract. We study Ising spin models on finitely connected random interaction graphs which are drawn from an ensemble in which not only the degree distribution p(k) can be chosen arbitrarily, but which allows for further fine-tuning of the topology via preferential attachment of edges on the basis of an arbitrary function Q(k, k) of the degrees of the vertices involved. We solve these models us...

The spectral correlation of a chaotic system with spin 1/2 is universally described by the GSE (Gaussian Symplectic Ensemble) of random matrices in the semiclassical limit. In semiclassical theory, the spectral form factor is expressed in terms of the periodic orbits and the spin state is simulated by the uniform distribution on a sphere. In this paper, instead of the uniform distribution, we i...

We investigate effects of finite core-spin in two-neutron halos in the three-body model consisting of two neutrons and a core. The states in the neutron-core subsystem can then have an additional splitting due to the coupling of the neutron and core spins. The connection between the structure of the total system and the states of the neutron-core subsystem depends strongly on this spin splittin...

Investigations of the spin composition of the nucleon have led to surprising insights, beginning with the revelation that the majority of its spin is carried by quark and gluonic orbital angular momenta and gluon spin rather than by quark helicity. In addition, considerable effort has gone into understanding, predicting and measuring the transversity distribution, h1(x), of the nucleon. 3 Trans...

The subject of the nucleon’s spin composition has been intensely studied and has produced important and surprising insights, beginning with the revelation that the majority of its spin is carried by quark and gluonic orbital angular momenta and gluon spin rather than by quark helicity. In addition, considerable effort has gone into understanding, predicting and measuring the transversity distri...