No abstract available

[en] Let (-Λ + V - E)PSI = 0 in Ωsub(R) = (x element Rsup(n): |x| >= R), PSI element L² (Ωsub(R)) where V = V₁(|x|) + V₂(x) and E<0, and let (-Λ + V₁(|x|) - E)v(|x|) = 0 for |x| >= R' >= R sufficiently large with v>0. It is supposed that E<0 and that V tends to zero in some sense as |x| → infinity. Conditions on V are given, so that for |x| large 0 < csub(-) <= (∫ |PSI(r,ω)|² dω)sup(1/2) / v(r) <= csub(+) < infinity where r=|x|, ω=x/|x| and dω denotes integration over the unit sphere. Also it is proved, that, given certain conditions on V₂(x), PSI(r,ω)/v(r), considerd as a function in ω with r fixed, has Hoelder-continuous ksup(th) derivatives in ω. This result holds uniformly in r for r>=R'. The conditions on V(x) include e.g. Hamiltonians describing one electron in the field of fixed nuclei or the case of short range potentials, i.e. |V(x)| <= Crsup(-1-epsilon) for |x| large, epsilon>0. (Author)

[en] Einstein's objections to the indeterminism of quantum mechanics are discussed

No abstract available

[en] Collapses of wave functions CWF by irreversible complex quanta systems are described. The CWFs may occur inside physical systems. Such processes take place by evolution of gas atoms wave functions. The CWS are manifested by normal external measurements, whereby the functions of the measured microobjects and those of the measurement device are collapsing simultaneously. Refs. 37

[en] Recently it was conjectured that nodal domains of random wavefunctions are adequately described by critical percolation theory. In this paper we strengthen this conjecture in two respects. First, we show that, though wavefunction correlations decay slowly, a careful use of Harris' criterion confirms that these correlations are unessential and nodal domains of random wavefunctions belong to the same universality class as non-correlated critical percolation. Second, we argue that level domains of random wavefunctions are described by the non-critical percolation model

[en] A series of 12 lectures on quantum mechanics and its inter-pretations: The more specific part begins with chapter 8: spin and polarization measurements; the Einstein-Podolski-Rosen paradoxon; Bell's inequations; interpretations of quantum theory; the role of the observer and the wave function of the world. 40 refs., 11 figs. (qui)

[en] Short communication

[en] A basic understanding is provided within a self-contained and conceptually ordered structure of quantum mechanics, its concepts, postulates, and applications. A coherent framework is provided for further development

[en] We study the case where g tends at timelike infinity to a stationary metric, we prove some existence theorems in spaces of solutions with finite energy for all times, and also with finite s-order energy