Stark effect in the nonuniform field and its influence on the fine structure of Rydberg blockade

Splitting the energy levels of a hydrogen-like atom by the electric field nonuniform at the atomic scale is studied. This situation is important for the multi-level treatment of the phenomenon of Rydberg blockade [Yu.V. Dumin, J. Phys. B, v.47, p.175502 (2014)]. An explicit formula for the energy levels is derived. A typical value of the energy shift by the electric field gradient turns out to be proportional to the 4th power of the principal quantum number (i.e., the square of atomic size), as would be expected from a qualitative consideration. Finally, the fine spatial structure of the Rydberg blockade is analyzed when the electric-field-gradient term plays the dominant role, and the results are confronted with the experimental data.Comment: LaTeX2e, iopart class, 14 pages, 2 EPS figures, accepted for publication in J. Phys. B; v2: text substantially extended, 1 figure added; v3: text substantially extended and subdivided, 1 figure and 7 references added; v4: misprints in Eq.(4) correcte

Testing the Dark-Energy-Dominated Cosmology by the Solar-System Experiments

According to the recent astronomical data, the most part of energy in the Universe is in the 'dark' form, which is effectively described by Lambda-term in Einstein equations. All arguments in favor of the dark energy were obtained so far from the observational data related to very large (intergalactic) scales. Is it possible to find a manifestation of the dark energy at much less scales (e.g. inside the Solar system)?Comment: Report at the Eleventh Marcel Grossmann Meeting on General Relativity (Freie Universitaet, Berlin, Germany; July 23-29, 2006). Single LaTeX file, 3 pages, auxiliary files required: ws-procs975x65.cls and cite.st