2,681 research outputs found
Integral equations for three-body Coulombic resonances
We propose a novel method for calculating resonances in three-body Coulombic
systems. The method is based on the solution of the set of Faddeev and
Lippmann-Schwinger integral equations, which are designed for solving the
three-body Coulomb problem. The resonances of the three-body system are defined
as the complex-energy solutions of the homogeneous Faddeev integral equations.
We show how the kernels of the integral equations should be continued
analytically in order that we get resonances. As a numerical illustration a toy
model for the three- system is solved.Comment: 9 pages, 1 EPS figur
Gravitational oscillations in multidimensional anisotropic model with cosmological constant and their contributions into the energy of vacuum
Were studied classical oscillations of background metric in the
multidimensional anisotropic model of Kazner in the de-Sitter stage. Obtained
dependence of fluctuations on dimension of space-time with infinite expansion.
Stability of the model could be achieved when number of space-like dimensions
equals or more then four. Were calculated contributions to the density of
"vacuum energy", that are providing by proper oscillations of background metric
and compared with contribution of cosmological arising of particles due to
expansion. As it turned out, contribution of gravitational oscillation of
metric into density of "vacuum energy" should play significant role in the
de-Sitter stage
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