in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...

A wide increment of the object-oriented diffusion has been registered. This is accompanied by the needs of metrics and tools for assessing class reusability, maintainability, complexity, etc. Metrics have to produce confident results and have to be continuously revalidated on the basis of specific purpose on their adoption. Tools for system assessment must be capable of satisfying the needs of ...

We present evidence for a 0 (1450) decaying to KK in pp annihilation at rest in liquid hydrogen in the nal state K L K. This reaction is important for the study of the KK decay mode of scalar resonances, in particular the isovectors a 0 (980) and a 0 (1450). The determination of the a 0 (1450) production also xes the KK coupling of the isoscalar f 0 (1500). We

Introduction In the scientific world it is recognized that high levels of collaboration, but particularly international scientific collaborations, lead to increase in citations, a better quality of the papers published, and a greater productivity of the authors (Leimu & Koricheva, 2005; Hsu & Huang, 2010). However this citation increment may vary across nations. For various reasons, there might...

. We combine the creation and annihilation operators of a scalar field in Minkowski spacetime to obtain the generators of the SU(1,1). We show that the transformation between Minkowski and Rindler vacua can be represented by (pseudo)rotation in the space of the SU(1,1) group. The root of this fact originates from the coordinate transformation between Minkowski and Rindler manifolds that can als...

A probabilistic interpretation is constructed for the symmetry group G of the finite differencedifferential equation ∂tη(x, t) = η(x, t) − η(x+ 1, t) using the Doob transform for Markov (jump) processes. While the first three generators of G correspond to the identity and to space and time shifts, we show that in this interpretation the fourth generator of G is associated to time dilations and ...

so that the creation operator is separated from the annihilation one. Later, we will also need the concept of normal order ; so let us define the normal ordering symbol N() to place whatever operators in normal order, for example N ( a(p)a(k)†a(q) ) ≡ a(k)†a(p)a(q) . (4) The meaning of the “time–ordering” symbol T is well known: it instructs us to place the operators that follow in order with t...