801 research outputs found
On relative commuting probability of finite rings
In this paper we study the probability that the commutator of a randomly
chosen pair of elements, one from a subring of a finite ring and other from the
ring itself equals to a given element of the ring
PNC transition amplitudes of the hyperfine components for transitions of Ba and Sr
In this paper, we have calculated parity nonconserving electric dipole
transition amplitudes of the hyperfine components for the transitions between
the ground and first excited states of Ba and Sr
using sum-over-states technique. The results are presented to extract the
constants associated with the nuclear spin dependent amplitudes from
experimental measurements. The wavefunctions to calculate the most dominant
part of the sums are constructed using highly correlated coupled-cluster theory
based on the Dirac-Coulomb-Gaunt Hamiltonian
On generalized commuting probability of finite rings
Let be a finite ring and . The aim of this paper is to study the
probability that the commutator of a randomly chosen pair of elements of
equals
Finite groups whose commuting graphs are integral
A finite non-abelian group is called commuting integral if the commuting
graph of is integral. In this paper, we show that a finite group is
commuting integral if its central factor is isomorphic to or , where is any prime integer and
is the dihedral group of order
Spectrum and genus of commuting graphs of some classes of finite rings
The commuting graph of a non-commutative ring with center is a
simple undirected graph whose vertex set is and two vertices
are adjacent if and only if . In this paper, we compute the
spectrum and genus of commuting graphs of some classes of finite rings
Various energies of some super integral groups
In this paper, we obtain energy, Laplacian energy and signless Laplacian
energy of the commuting graphs of some families of finite non-abelian groups.Comment: arXiv admin note: text overlap with arXiv:1608.0276
On Laplacian energy of non-commuting graphs of finite groups
In this paper, we compute Laplacian energy of the non-commuting graphs of
some classes of finite non-abelian groups.Comment: arXiv admin note: substantial text overlap with arXiv:1705.01275;
text overlap with arXiv:1705.0013
Spectrum of commuting graphs of some classes of finite groups
In this paper, we initiate the study of spectrum of the commuting graphs of
finite non-abelian groups. We first compute the spectrum of this graph for
several classes of finite groups, in particular AC-groups. We show that the
commuting graphs of finite non-abelian AC-groups are integral. We also show
that the commuting graph of a finite non-abelian group is integral if
is not isomorphic to the symmetric group of degree and the commuting graph
of is planar. Further it is shown that the commuting graph of is
integral if the commuting graph of is toroidal
Relativistic coupled cluster calculations on hyperfine structures and electromagnetic transition amplitudes of In III
Hyperfine constants and anomalies of ground as well as few low lying excited
states of In III are studied with highly correlated
relativistic coupled-cluster theory. The ground state hyperfine splitting of
In III is estimated to be 106.8 GHz. A shift of almost 1.9 GHz of the
above frequency has been calculated due to modified nuclear dipole moment. This
splitting result shows its applicability as communication band and frequency
standards at sec. Correlations study of hyperfine constants
indicates a few distinct features of many-body effects in the wave-functions in
and near the nuclear region of this ion. Astrophysically important forbidden
transition amplitudes are estimated for the first time in the literature to our
knowledge. The calculated oscillator strengths of few allowed transitions are
compared with recent experimental and theoretical results wherever available.Comment: 11 pages, 4 figure
Precise calculations of astrophysically important allowed and forbidden transitions of Xe VIII
The present work reports transition line parameters for Xe VIII, which are
potentially important for astrophysics in view of recent observations of
multiply ionized xenon in hot white dwarfs. The relativistic coupled-cluster
method is employed here to calculate the E1, E2, and M1 transition line
parameters with high accuracy. The E1 oscillator strengths and probabilities of
E2 and M1 transitions are determined using theoretical amplitudes and
experimental energy values. The calculated branching ratios and the lifetimes
are supplemented to the transition parameters. Accurate presentation of these
calculated data is crucial for density estimation in several stellar and
inter-stellar media.Comment: 14 pages, 1 figur
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