We remind the properties of the intelligent (and quasi-intelligent) spin states introduced by Aragone et al. We use these states to construct families of coherent wave packets on the sphere and we sketch the time evolution of these wave packets for a rigid body molecule. The eigenstates of the square of the angular momentum operator L 2 which are also eigenstates of L x + iηL y , where η is a r...

1 Abstract By using symplectic Majorana spinors as Grassmann coordinates in a superspace associated with the supersymmetric extension of the isometry group on the spherical surface S 2 , it proves possible to formulate supersymmetric models on S 2 using superspace techniques. The formulation of gauge theories on a spherical surface [1] has provided insights into their properties. The kinetic te...

A new type of momentum based on the signs past returns is introduced. This driven primarily by sign dependence, which positively related to average return and negatively volatility. An empirical application using a universe commodity financial futures offers supporting evidence for existence such momentum. Investment strategies signal result in higher Sharpe ratios lower drawdown relative time ...