We investigate the question of independent and coherent production of pions in high energy processes. A model for coherent production is suggested and the restrictions due to momentum conservation, charge conservation, and isospin conservation are dealt with in detail. A formalism for the isospin analysis of identical pions is developed and applied to coherent states. Results and consequences a...

We establish the relationship between cohomology of a certain sheaf on intersection lattice hyperplane arrangement introduced by Yuzvinsky and coherent punctured affine space, respectively projective space associated to module logarithmic vector fields along arrangement. Our main result gives Künneth formula connecting theories, answering question Yoshinaga. This, in turn, provides characteriza...

States of a quantum mechanical system are represented by rays in a complex Hilbert space. The space of rays has, naturally, the structure of a Kähler manifold. This leads to a geometrical formulation of the postulates of quantum mechanics which, although equivalent to the standard algebraic formulation, has a very different appearance. In particular, states are now represented by points of a sy...

In this paper we present methods for exemplar based clustering with outlier selection based on the facility location formulation. Given a distance function and the number of outliers to be found, the methods automatically determine the number of clusters and outliers. We formulate the problem as an integer program to which we present relaxations that allow for solutions that scale to large data...

States of a quantum mechanical system are represented by rays in a complex Hilbert space. The space of rays has, naturally, the structure of a KK ahler manifold. This leads to a geometrical formulation of the postulates of quantum mechanics which, although equivalent to the standard algebraic formulation , has a very diierent appearance. In particular, states are now represented by points of a ...

in this paper, lagrangian and equations describing one-dimensional anisotropic non-heisenberg model are studied. in this study we used the generalized coherent states in real parametrizations and the feynman path integral for these states in su(3) group. these equations describe nonlinear dynamics of non-heisenberg ferromagnetic chain completely. solutions of these equations are magnetic solito...

In this pedagogical article, we explore a powerful language for describing the notion of spacetime and particle dynamics intrinsic to given fundamental physical theory, focusing on special relativity its Newtonian limit. The starting point formulation is representations symmetries. Moreover, that seriously furnishes—via symmetry contractions—a natural way in which one can understand how theory ...