The Amplitude Mode in the Quantum Phase Model

We derive the collective low energy excitations of the quantum phase model of interacting lattice bosons within the superfluid state using a dynamical variational approach. We recover the well known sound (or Goldstone) mode and derive a gapped (Higgs type) mode that was overlooked in previous studies of the quantum phase model. This mode is relevant to ultracold atoms in a strong optical lattice potential. We predict the signature of the gapped mode in lattice modulation experiments and show how it evolves with increasing interaction strength.Comment: 4 pages, 3 figure

Which Fuel?

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Tractor Fuel Costs

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Color and Variability Characteristics of Point Sources in the Faint Sky Variability Survey

We present an analysis of the color and variability characteristics for point sources in the Faint Sky Variability Survey (FSVS). The FSVS cataloged ~23 square degrees in BVI filters from ~16--24 mag to investigate variability in faint sources at moderate to high Galactic latitudes. Point source completeness is found to be >83% for a selected representative sample (V=17.5--22.0 mag, B-V=0.0--1.5) containing both photometric B, V detections and 80% of the time-sampled V data available compared to a basic internal source completeness of 99%. Multi-epoch (10--30) observations in V spanning minutes to years modeled by light curve simulations reveal amplitude sensitivities to 0.015--0.075 mag over a representative V=18--22 mag range. Periodicity determinations appear viable to time-scales of an order 1 day or less using the most sampled fields (~30 epochs). The fraction of point sources is found to be generally variable at 5--8% over V=17.5--22.0 mag. For V brighter than 19 mag, the variable population is dominated by low amplitude (<0.05 mag) and blue (B-V<0.35) sources, possibly representing a population of gamma Doradus stars. Overall, the dominant population of variable sources are bluer than B-V=0.65 and have Main Sequence colors, likely reflecting larger populations of RR Lyrae, SX Phe, gamma Doradus, and W UMa variables.Comment: 34 pages, 16 figures, accepted in A

Process for synthesizing enediynes

A process for synthesizing enediynes is provided. Specifically, the formed enediynes contain a hex-3-ene-1,5-diynyl group. Production of the enediynes involves adding a base to a propargylic halide in the presence of a chelating agent, which causes a carbenoid coupling-elimination sequence of the propargylic halides. A carbenoid destabilizing agent can also be added to the reaction mixture in order to enhance yield. Acyclic and cyclic enediynes can be synthesized according to this process. The enediynes are useful compounds that can be used in a variety of applications including use in the production of anti-tumor agents