333,621 research outputs found
Graded Lie algebras of maximal class IV
We describe the isomorphism classes of certain infinite-dimensional graded
Lie algebras of maximal class, generated by an element of weight one and an
element of weight two, over fields of odd characteristic.Comment: 38 pages. See also http://www-math.science.unitn.it/~caranti/ and
http://users.ox.ac.uk/~vlee
Modeling effects of nonbreeders on population growth estimates
Acknowledgements We thank the Beissinger lab and reviewers for helpful comments on manuscript drafts. This research was funded by a Marie Curie International Outgoing Fellowship within the 7th European Community Framework Programme (project NON- BREEDERS). The contents of this paper reflect the views of the researchers, not the views of the European Commission. Data Accessibility R-code available from the Dryad Digital Repository: http://dx.doi.org/10.5061/dryad.t56cn (Lee, Reid & Beissinger, 2016).Peer reviewedPostprin
Test vectors for Rankin-Selberg -functions
We study the local zeta integrals attached to a pair of generic
representations of , , over a -adic
field. Through a process of unipotent averaging we produce a pair of
corresponding Whittaker functions whose zeta integral is non-zero, and we
express this integral in terms of the Langlands parameters of and .
In many cases, these Whittaker functions also serve as a test vector for the
associated Rankin-Selberg (local) -function.Comment: arXiv admin note: text overlap with arXiv:1804.0772
Exciton-exciton interaction and biexciton formation in bilayer systems
We report quantum Monte Carlo calculations of biexciton binding energies in
ideal two-dimensional bilayer systems with isotropic electron and hole masses.
We have also calculated exciton-exciton interaction potentials, and pair
distribution functions for electrons and holes in bound biexcitons. Comparing
our data with results obtained in a recent study using a model exciton-exciton
potential [C. Schindler and R. Zimmermann, Phys. Rev. B \textbf{78}, 045313
(2008)], we find a somewhat larger range of layer separations at which
biexcitons are stable. We find that individual excitons retain their identity
in bound biexcitons for large layer separations.Comment: 7 pages, 11 figures, 2 table
Microscopic picture of aging in SiO2
We investigate the aging dynamics of amorphous SiO2 via molecular dynamics
simulations of a quench from a high temperature T_i to a lower temperature T_f.
We obtain a microscopic picture of aging dynamics by analyzing single particle
trajectories, identifying jump events when a particle escapes the cage formed
by its neighbors, and by determining how these jumps depend on the waiting time
t_w, the time elapsed since the temperature quench to T_f. We find that the
only t_w-dependent microscopic quantity is the number of jumping particles per
unit time, which decreases with age. Similar to previous studies for fragile
glass formers, we show here for the strong glass former SiO2 that neither the
distribution of jump lengths nor the distribution of times spent in the cage
are t_w-dependent. We conclude that the microscopic aging dynamics is
surprisingly similar for fragile and strong glass formers.Comment: 4 pages, 7 figure
Relativistic corrections to the electromagnetic polarizabilities of compound systems
The low-energy amplitude of Compton scattering on the bound state of two
charged particles of arbitrary masses, charges and spins is calculated. A case
in which the bound state exists due to electromagnetic interaction (QED) is
considered. The term, proportional to , is obtained taking into
account the first relativistic correction. It is shown that the complete result
for this correction differs essentially from the commonly used term
, proportional to the r.m.s. charge radius of the system. We
propose that the same situation can take place in the more complicated case of
hadrons.Comment: 19 pages, LaTe
Pressure inequalities for nuclear and neutron matter
We prove several inequalities using lowest-order effective field theory for
nucleons which give an upper bound on the pressure of asymmetric nuclear matter
and neutron matter. We prove two types of inequalities, one based on convexity
and another derived from shifting an auxiliary field.Comment: 16 pages, published journal version - includes inequalities for spin
polarized system
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