87,482 research outputs found
Comparing supernova remnants around strongly magnetized and canonical pulsars
The origin of the strong magnetic fields measured in magnetars is one of the
main uncertainties in the neutron star field. On the other hand, the recent
discovery of a large number of such strongly magnetized neutron stars, is
calling for more investigation on their formation. The first proposed model for
the formation of such strong magnetic fields in magnetars was through
alpha-dynamo effects on the rapidly rotating core of a massive star. Other
scenarios involve highly magnetic massive progenitors that conserve their
strong magnetic moment into the core after the explosion, or a common envelope
phase of a massive binary system. In this work, we do a complete re-analysis of
the archival X-ray emission of the Supernova Remnants (SNR) surrounding
magnetars, and compare our results with all other bright X-ray emitting SNRs,
which are associated with Compact Central Objects (CCOs; which are proposed to
have magnetar-like B-fields buried in the crust by strong accretion soon after
their formation), high-B pulsars and normal pulsars. We find that emission
lines in SNRs hosting highly magnetic neutron stars do not differ significantly
in elements or ionization state from those observed in other SNRs, neither
averaging on the whole remnants, nor studying different parts of their total
spatial extent. Furthermore, we find no significant evidence that the total
X-ray luminosities of SNRs hosting magnetars, are on average larger than that
of typical young X-ray SNRs. Although biased by a small number of objects, we
found that for a similar age, there is the same percentage of magnetars showing
a detectable SNR than for the normal pulsar population.Comment: 16 pages, 5 figures, Accepted for publication in MNRA
Effective Equations of Motion for Quantum Systems
In many situations, one can approximate the behavior of a quantum system,
i.e. a wave function subject to a partial differential equation, by effective
classical equations which are ordinary differential equations. A general method
and geometrical picture is developed and shown to agree with effective action
results, commonly derived through path integration, for perturbations around a
harmonic oscillator ground state. The same methods are used to describe
dynamical coherent states, which in turn provide means to compute quantum
corrections to the symplectic structure of an effective system.Comment: 31 pages; v2: a new example, new reference
Exceptional Values of Metric Density
Lebesgue\u27s density theorem states that at almost every point of a measurable set S in En, the metric density of S exists and is 1 and at almost every point of the complement of S, the density of S exists and is 0. This theorem was first proven for E1 by Lebesgue using his theory of integration. It was later proven by Denjoy [1], Lusin [2], and Sierpinski [3] for E1 without the use of integration. The theorem was first proven for En by de la Vallee Poussin
Electronic transport coefficients from ab initio simulations and application to dense liquid hydrogen
Using Kubo's linear response theory, we derive expressions for the
frequency-dependent electrical conductivity (Kubo-Greenwood formula),
thermopower, and thermal conductivity in a strongly correlated electron system.
These are evaluated within ab initio molecular dynamics simulations in order to
study the thermoelectric transport coefficients in dense liquid hydrogen,
especially near the nonmetal-to-metal transition region. We also observe
significant deviations from the widely used Wiedemann-Franz law which is
strictly valid only for degenerate systems and give an estimate for its valid
scope of application towards lower densities
Exact results for SU(3) spin chains: trimer states, valence bond solids, and their parent Hamiltonians
We introduce several exact models for SU(3) spin chains: (1) a
translationally invariant parent Hamiltonian involving four-site interactions
for the trimer chain, with a three-fold degenerate ground state. We provide
numerical evidence that the elementary excitations of this model transform
under representation 3bar of SU(3) if the original spins of the model transform
under rep. 3. (2) a family of parent Hamiltonians for valence bond solids of
SU(3) chains with spin reps. 6, 10, and 8 on each lattice site. We argue that
of these three models, only the latter two exhibit spinon confinement and a
Haldane gap in the excitation spectrum
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