For ergodic adiabatic quantum systems, we study the evolution of energy distribution as the system evolves in time. Starting from the von Neumann equation for the density operator, we obtain the quantum analogue of the Smoluchowski equation on coarse-graining over the energy spectrum. This result brings out the precise notion of quantum diffusion.

An explicit construction is provided for embedding n positive eigenvalues in the spectrum of a Schrödinger operator on the half-line with a Dirichlet boundary condition at the origin. The resulting potential is of von Neumann-Wigner type, but can be real valued as well as complex valued.

there are many different ways to subdivide the spectrum of a bounded linear operator; some of them aremotivated by applications to physics (in particular, quantum mechanics). in this study, the relationship betweenthe subdivisions of spectrum which are not required to be disjoint and goldberg's classification are given.moreover, these subdivisions for some summability methods are studied.

By the Von Neumann regular graph of R, we mean the graph that its vertices are all elements of R such that there is an edge between vertices x,y if and only if x+y is a von Neumann regular element of R, denoted by G_Vnr (R). For a commutative ring R with unity, x in R is called Von Neumann regular if there exists x in R such that a=a2 x. We denote the set of Von Neumann regular elements by V nr...

Ristocetin was used to study platelet aggregation in platelet-rich plasma and to assay the von Willebrand factor activity of factor VIII (Vlll,, ). Ristocetin-induced platelet aggregation (RIPA) was decreased in 13 of 18 patients with von Willebrand’s disease (VWD) who had decreased plasma levels of Vlll ,. The five patients with normal RIPA appeared to have mild VWD but did not constitute a se...

Ristocetin was used to study platelet aggregation in platelet-rich plasma and to assay the von Willebrand factor activity of factor VIII (Vlll,, ). Ristocetin-induced platelet aggregation (RIPA) was decreased in 13 of 18 patients with von Willebrand’s disease (VWD) who had decreased plasma levels of Vlll ,. The five patients with normal RIPA appeared to have mild VWD but did not constitute a se...

Ristocetin was used to study platelet aggregation in platelet-rich plasma and to assay the von Willebrand factor activity of factor VIII (Vlll,, ). Ristocetin-induced platelet aggregation (RIPA) was decreased in 13 of 18 patients with von Willebrand’s disease (VWD) who had decreased plasma levels of Vlll ,. The five patients with normal RIPA appeared to have mild VWD but did not constitute a se...

Ristocetin was used to study platelet aggregation in platelet-rich plasma and to assay the von Willebrand factor activity of factor VIII (Vlll,, ). Ristocetin-induced platelet aggregation (RIPA) was decreased in 13 of 18 patients with von Willebrand’s disease (VWD) who had decreased plasma levels of Vlll ,. The five patients with normal RIPA appeared to have mild VWD but did not constitute a se...