Same as Report (SAR) 18. NUMBER

We discuss the discrete spectrum of the operator K HK(C) = [ h 2 c 2 A +m2c4] 1/2 -E Zke2[ x Rkt1. k=l More specifically, we study 1) the behaviour of the eigenvalues when the internuclear distances contract, 2) the existence of a c-independent lower bound for Hi~(c)-mc z, 3) the nonrelativistic limit of the eigenvalues of HK(C)--mc 2.

The detection and the research of the neutrinos background of Universe are the attractive problems. This problems do not seem the unpromising one in the case of the high neutrinos density that is necessary for the explanation of the nucleons-antinucleons asymmetry of Universe (the Pontekorvo’s and Smorodinsky’s hipothesis [1]). It was offered before to use the low energy neutrinos background of...

The model of quantum universe as a cosmological system in quasistationary state is considered. It is shown that in proposed approach the difficulties of the standard Big-bang cosmology do not arise. The theory predicts the observed dimensions of the nonhomogeneities of matter density and the amplitude of the fluctuations of the cosmic background radiation temperature in the Universe and points ...

A virial theorem is established for the operator proposed by Brown and Ravenhall as a model for relativistic one-electron atoms. As a consequence, it is proved that the operator has no eigenvalues greater than max(mc, 2αZ− 1 2 ), where α is the fine structure constant, for all values of the nuclear charge Z below the critical value Zc: in particular there are no eigenvalues embedded in the esse...

light years away from each other, so the universe would be practically structureless. We argue that the Hartle-Hawking wave function does not describe the probability of creation of the universe. If one uses the tunneling wave function for the description of creation of the universe, then in most inflationary models the universe should have Ω = 1, which agrees with the standard expectation that...

wewanttofindthecosmologicalconstantinfluenceoncosmicmicrowavebackground(cmb)temperatureduetomovinglinearcosmicstrings.usingthespace-timemetricofalinearcosmicstringinanacceleratedexpandinguniverse,thegott-kaiser stebbins(gks)effect,asanimportantmechanisminproducingtemperaturediscontinuityinthe(cmb),isconsidered;then,itsmodificationduetotheeffectofthecosmologicalconstantiscalculated.theresultshowsthat...