The general idea of quantization is to find a way to pass from the classical setting to the quantum one. In the classical situation, we have a symplectic manifold (M,ω) standing for the space of “states” of some physical system. The topological data of the manifold is contained in the structure of the function algebra C(M). The smooth structure on M gives rise to a distinguished subalgebra C∞ 0...

background: astronauts will be exposed to both chronic space radiation and acute high doses of energetic radiation of solar particle events in long-term deep space missions. the application of radioprotectors in space missions has basic limitations such as their very short time window as well as their acute toxicity and considerable side effects. the aim of the present study was to investigate ...

For any n ∈ N such that 2n ≤ min(p, q), we construct a representation πn of O(p, q) with p+q even as the kernel of a commuting set of n(n+1) 2 number of O(p, q)-invariant differential operators in the space of C∞ functions on an isotropic cone with a distinguished GLn(R)-homogeneity degree. By identifying πn with a certain representation constructed via the formalism of the theta correspondence...

A d-contraction is a d-tuple (T1, . . . , Td) of mutually commuting operators acting on a common Hilbert space H such that ‖T1ξ1 + T2ξ2 + · · ·+ Tdξd‖ 2 ≤ ‖ξ1‖ 2 + ‖ξ2‖ 2 + · · ·+ ‖ξd‖ 2 for all ξ1, ξ2, . . . , ξd ∈ H. These are the higher dimensional counterparts of contractions. We show that many of the operator-theoretic aspects of function theory in the unit disk generalize to the unit ball...

Silver (Ag) nanospheres were chemically reduced from 1 mM silver nitrate (AgNO3) solutions using mulberry (Morus alba Linn.) leaf extracts. The increase of pH in the synthesis 9 to 13 modified surface plasmon resonance peak UV-Vis spectra relating particle diameter around 20 nm. Smaller nanoparticles obtained syntheses at 7.4-7.7 and their density was slightly increased with temperature 25 °C 9...

A classical result in distance based tree-reconstruction characterizes when for a distance D on some finite set X there exist a uniquely determined dendrogram on X (essentially a rooted tree T = (V,E) with leaf set X and no degree two vertices but possibly the root and an edge weighting ω : E → R≥0) such that the distance D(T,ω) induced by (T,ω) on X is D. Moreover, algorithms that quickly reco...