14,457 research outputs found
Local theta lifting of generalized Whittaker models associated to nilpotent orbits
Let be a reductive dual pair over a local field {\Fontauri
k} of characteristic 0, and denote by and the standard modules
of and , respectively. Consider the set
of full rank elements in , and the nilpotent orbit
correspondence and induced by elements of via the moment maps. Let be a smooth
irreducible representation of . We show that there is a correspondence of
the generalized Whittaker models of of type and of of type , where is the full theta
lift of . When is in the stable range with the
smaller member, every nilpotent orbit is in
the image of the moment map from . In this case, and for
{\Fontauri k} non-Archimedean, the result has been previously obtained by
M\oe{}glin in a different approach.Comment: To appear in Geometric and Functional Analysi
Phase transitions and spin excitations of spin-1 bosons in optical lattice
We investigate ground state properties of spin-1 bosonic system trapped in
optical lattice with extended standard basis operator (SBO) method. For both
ferromagnetic () systems, we
analytically figure out the symmetry properties in Mott-insulator and
superfluid phases, which would provide a deeper insight into the MI-SF phase
transition process. Then by applying self-consistent approach to the method, we
include the effect of quantum and thermal fluctuations and derive the MI-SF
transition phase diagram, which is in quantitative agreement with recent
Monte-Carlo simulation at zero temperature, and at finite temperature, we find
the underestimation of finite-temperature-effect in the mean-field
approximation method. If we further consider the spin excitations in the
insulating states of spin-1 system in external field, distinct spin phases are
expected. Therefore, in the Mott lobes with and atoms per site, we
give analytical and numerical boundaries of the singlet, nematic, partially
magnetic and ferromagnetic phases in the magnetic phase diagrams.Comment: 14 pages, 6 figure
Proposal for measuring new transverse momentum dependent parton distributions and through semi-inclusive deep inelastic scattering
We calculate and , two of the eight leading twist
transverse momentum dependent parton distributions (TMDs), in the light-cone
quark-diquark model. The new TMDs can be measured through semi-inclusive deep
inelastic scattering (SIDIS). We present predictions of the single and double
spin asymmetries related to and in SIDIS at HERMES,
COMPASS, and JLab kinematics respectively.Comment: 14 latex pages, 7 figures, final version for journal publicatio
Efficiency of GCSC-BtA, as a new type of biocide, on different agricultural arthropod pests and its side-effect on some predators
A new type of biocide GCSC-BtA, named from "Germany-China Scientific Cooperation-Bacillus thuringiensis-Abamectin", was successfully developed by conjugating delta-endotoxin of Bacillus thuringiensis (B.t.) with Abamectin from Streptomyces avermitilis through conjugator EDC for control of different agricultural arthropod pests. The laboratory results of efficiency of biocide GCSC-BtA to four different arthropod pests and its side-effect on two species of predators are presented in this paper. The results showed significant differences in the mortalities of Tetranychus cinnabarinus (BOISD.) (Acari, Tetranychidae), Frankliniella occidentalis PERGANDE (Thys., Thripidae), Aphis fabae SCOPOLI (Hom., Aphididae) and Cameraria ohridella DESCHKA ET DIMI´C (Lep., Gracillariidae) caused by treatment of 0.6250 mg/ml of formulated product of GCSC-BtA, B.t., Abamectin and Cypermethrin. GCSC-BtA treatment caused higher mortalities of 86.37%, 94.82%, 94.15% and 93.23% in T. cinnabarinus, F. occidentalis, A. fabae and C. ohridella, respectively. Mortalities caused by Abamectin treatment were 73.92%, 63.3%, 86.52% and 73.48%, and by Cypermethrin treatment were 44.29%, 57.28%, 97.68% and 51.26%, respectively. B.t. could only kill C. ohridella with 87.62% mortality. Pesticidal treatment gave variations in mortalities of Orius strigicollis POPPIUS (Het., Anthocoridae) and Stethorus cantonensis PANG (Col., Coccinellidae) predators at p < 0.01, where 0.6250 mg/ml GCSC-BtA caused 21.76% and 32.42% mortalities, while the same rate of products of Abamectin with 73.26% and 87.67% as well as Cypermethrin with 86.43% and 93.83% mortalities, respectively. It is concluded that the biocide GCSC-BtA has increased efficacies as well as host ranges of B.t. and Abamectin, but displayed safer to some predators
- …