869 research outputs found
Dynamics of Primordial Hydrogen Recombination with Allowance for a Recoil for Scattering in the Ly-alpha Line
It is shown that taking into account a recoil for radiation scattering in the
Ly-alpha line can lead to a noticable acceleration of primordial hydrogen
recombination. Thus for LambdaCDM model a decrease of ionization degree exceeds
1% for redshifts z in a range 800 - 1050 achieving approximately 1.3% at z=900.
Corresponding corrections to the cosmic microwave background power spectra can
achieve 1.1% for TT spectra and 1.7% for EE ones. Radiative transfer in these
calculations was treated in a quasistationary approximation. Numerical
solutions are also obtained in diffusion approximation for a nonstationary
problem of Ly-alpha line radiative transfer under partial frequency
redistribution with a recoil. An evolution of a local line profile is traced to
as well as an evolution of a relative number of uncompensated transitions from
2p state down to 1s one. It is shown that taking into account nonstationarity
of Ly-alpha line radiative transfer can lead to an additional acceleration of
primordial hydrogen recombination.Comment: 9 pages, 5 figures; accepted for publication in Astronomy Letter
Continuous families of isospectral Heisenberg spin systems and the limits of inference from measurements
We investigate classes of quantum Heisenberg spin systems which have
different coupling constants but the same energy spectrum and hence the same
thermodynamical properties. To this end we define various types of
isospectrality and establish conditions for their occurence. The triangle and
the tetrahedron whose vertices are occupied by spins 1/2 are investigated in
some detail. The problem is also of practical interest since isospectrality
presents an obstacle to the experimental determination of the coupling
constants of small interacting spin systems such as magnetic molecules
EPR studies of manganese centers in SrTiO3: Non-Kramers Mn3+ ions and spin-spin coupled Mn4+ dimers
X- and Q-band electron paramagnetic resonance (EPR) study is reported on the
SrTiO3 single crystals doped with 0.5-at.% MnO. EPR spectra originating from
the S = 2 ground state of Mn3+ ions are shown to belong to the three distinct
types of Jahn-Teller centres. The ordering of the oxygen vacancies due to the
reduction treatment of the samples and consequent formation of oxygen vacancy
associated Mn3+ centres are explained in terms of the localized charge
compensation. The EPR spectra of SrTiO3: Mn crystals show the presence of next
nearest neighbor exchange coupled Mn4+ pairs in the directions.Comment: 17 pages, 8 figure
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