The quantum phase operator has been studied by various authors in the past[1-4]. We here remark on the absence of a hermitian phase operator and the lack of a mathematical basis for ∆N∆φ ≥ 1/2, on the basis of a notion of index or an index theorem. To be specific, we study the simplest one-dimensional harmonic oscillator defined by h = aa+ 1/2 where a and a stand for the annihilation and creati...

The objective of the study was the structural analysis of the 70TeO2-5XO-10P2O5-10ZnO-5PbF2 (X = Mg, Bi2, Ti) tellurite glasses doped with ions of the rare-earth elements Er3+, based on the PALS (positron annihilation lifetime spectroscopy) method of measuring positron lifetimes. Values of positron lifetimes and the corresponding intensities may be connected with the sizes and number of structu...

The first problem in the application of positron annihilation lifetime (PAL) spectroscopy for the study of elementary free volumes (EFV) in solids comes from inhibition of positronium formation, i.e. essential influence of small admixtures on the long-lived component intensity of the PAL spectrum. The nature of this effect and correlation of the phenomena with thermo-stimulated luminescence (TS...

We study static annihilation on complex networks, in which pairs of connected particles annihilate at a constant rate during time. Through a mean-field formalism, we compute the temporal evolution of the distribution of surviving sites with an arbitrary number of connections. This general formalism, which is exact for disordered networks, is applied to Kronecker, Erdös-Rényi (i.e., Poisson), an...

On the basis of phenomenological model of the orthopositronium annihilation 'isotope anomaly' in gaseous neon (lifetime spectra, positrons source 22 Na) the realistic estimation of an additinal mode (∼0.2%) of the orthopositronium annihilation is received.

I use simple ideas, endowed from mathematical control theory and from qualitative theory of differential equations, in order to analyze in general grounds the human immune system. The simplest model, in which the response is proportional to the pathogen load, leads to the condition that the annihilation rate of pathogens in any tissue should be greater than the pathogen’s average rate of growth...

We have computed the branching ratios of the exclusive pseudoscalar (vector) + tensor modes that are allowed in the decays of the Bc meson. The dominant spectator and annihilation contributions in those decays are evaluated using the factorization hypothesis. We find that some of these decay channels, such as B c → (ρ,D s ,D s )χc2 and B c → πB s2 , have branching ratios of the order of 10, whi...

Let L/K be a finite Galois extension of number fields with Galois group G. Let p be a prime and let r ≤ 0 be an integer. By examining the structure of the p-adic group ring Zp[G], we prove many new cases of the p-part of the equivariant Tamagawa number conjecture (ETNC) for the pair (h(Spec(L))(r),Z[G]). The same methods can also be applied to other conjectures concerning the vanishing of certa...

In this note the D9-and anti-D9-brane annihilation in the type I string theory is probed by the D1-brane. We consider covariant Green-Schwarz formulation of the probe theory. For it to be non-anomalous it is necessary to consider the number of the D9-branes to be by 32 bigger than that of anti-D9-branes. Also for the anomaly cancellation it is necessary to insist on the κ-invariance of the D1-b...