Abstract The fundamental properties for the spin and orbital angular momentum are analyzed using acoustic evanescent Bessel beams. calculations reveal that transversal spin, canonical momentum, proportional to ratio l /ω where is topological charge ω frequency. This analysis shows complex Poynting vector density exhibits interesting features related electromagnetic case.

The discrete subgroup ∆(27) of SU(3) has some interesting properties which may be useful for understanding charged-lepton and neutrino mass matrices. Assigning leptons to the 3 and 3̄ representations of ∆(27), a simple form of the Majorana neutrino mass matrix is obtained and compared to present data. Since the introduction of the discrete symmetry A4 [1, 2] for understanding the family structur...

In this paper, we present several results concerning vector potentials and scalar potentials with data in Sobolev spaces with negative exponents, in a not necessarily simply-connected, three-dimensional domain. We then apply these results to Poincaré’s theorem and to Korn’s inequality. 1 Weak versions of a classical theorem of Poincaré In this work, (the results of which were announced in [2]),...

lead belongs to the heavy metal group and is considered as an environmental contaminant. acute or chronic contact to lead can change the physiological function of human organs. one of the most important disorders following the lead exposure is neurotoxicity. lead neurotoxicity consists of the neurobehavioral disturbances like cognitive impairment. the aim of the current study is to evaluate the...

BACKGROUND Recent years have brought a resurgence of research interest in fatty acids, with studied fields running the gamut of human disease. This movement has run in parallel with an increased interest in using nutrition modalities as therapeutic measures, as opposed to their conventional role as energy sources. The aim of this manuscript is to provide a basic review of current clinical appli...

BACKGROUND To advance knowledge about the cancer-chemopreventive potential of individual nutrients, we investigated the effects of B vitamin and/or ω-3 fatty acid supplements on cancer outcomes among survivors of cardiovascular disease. METHODS This was an ancillary study of the Supplementation With Folate, Vitamins B(6) and B(12) and/or Omega-3 Fatty Acids (SU.FOL.OM3) secondary prevention t...

We prove that if P is a partial order and P → (ω)ω, then (a) P → (ω + ω + 1, 4)3, and (b) P → (ω +m,n)3 for each m,n < ω. Together these results represent the best progress known to us on the following question of P. Erdős and others. If P → (ω)ω, then does P → (α, n)3 for each α < ω1 and each n < ω?