In this paper we study the problem of parallel transport in the Wasserstein spaces P2(R ). We show that the parallel transport exists along a class of curves whose velocity field is sufficiently smooth, and that we call regular. Furthermore, we show that the class of regular curves is dense in the class of absolutely continuous curves and discuss the problem of parallel transport along geodesic...

“Quantum holonomy” as defined by Berry and Simon, and based on the parallel transport of Bott and Chern, can be considerably extended. There is a natural “parallelity” W*dW = (dW)* W within the Hilbert--Schmidt operators W This defines parallelity and holonomy along curves of density operators e = WW*. There is an intrinsic nonlinearity in the parallel transport which dissolves for curves of pr...

A Neutron Transport Code ATES3 (Anisotropic Transport Equation Solver in 3D), which was developed at BARC for the deterministic solution of 3D steady-state neutron transport problems, has been parallelized using Message Passing Parallel Programming model on BARC’s ANUPAM Parallel Supercomputer. The most time consuming step in the code ATES3, which is transport sweep, was made parallel using thr...