69 research outputs found
Exponential martingales and changes of measure for counting processes
We give sufficient criteria for the Dol\'eans-Dade exponential of a
stochastic integral with respect to a counting process local martingale to be a
true martingale. The criteria are adapted particularly to the case of counting
processes and are sufficiently weak to be useful and verifiable, as we
illustrate by several examples. In particular, the criteria allow for the
construction of for example nonexplosive Hawkes processes as well as counting
processes with stochastic intensities depending on diffusion processes
Testing quantum correlations in a confined atomic cloud by scattering fast atoms
We suggest measuring one-particle density matrix of a trapped ultracold
atomic cloud by scattering fast atoms in a pure momentum state off the cloud.
The lowest-order probability of the inelastic process, resulting in a pair of
outcoming fast atoms for each incoming one, turns out to be given by a Fourier
transform of the density matrix. Accordingly, important information about
quantum correlations can be deduced directly from the differential scattering
cross-section. A possible design of the atomic detector is also discussed.Comment: 5 RevTex pages, no figures, submitted to PR
Spinor condensates and light scattering from Bose-Einstein condensates
These notes discuss two aspects of the physics of atomic Bose-Einstein
condensates: optical properties and spinor condensates. The first topic
includes light scattering experiments which probe the excitations of a
condensate in both the free-particle and phonon regime. At higher light
intensity, a new form of superradiance and phase-coherent matter wave
amplification were observed. We also discuss properties of spinor condensates
and describe studies of ground--state spin domain structures and dynamical
studies which revealed metastable excited states and quantum tunneling.Comment: 58 pages, 33 figures, to appear in Proceedings of Les Houches 1999
Summer School, Session LXXI
Synthesis of a new aza-14-crown-4 with di(α-pyridyl)-substituted bispidine subunit and the crystal structure of its complex with CoCl2
The aza-14-crown-4 with the di(α-pyridyl)-substituted bispidine subunit (L) and its cationanion complex with cobalt(II) chloride of composition [Co(L)(H2O)][CoCl4] (I) have been synthesized. The structure of compound L has been proved by IR spectroscopy, NMR, and mass spectrometry. X-ray crystallography has demonstrated that the L molecule in the complex is an NNNN-tetradentate chelating ligand, and the crown ether moiety is not directly bound to the metal cation. In the cationic moiety of the complex, the Co(1) atom has an octahedral environment, and the Co(2) polyhedron in the anionic moiety is a tetrahedron. The cationic and anionic moieties of complex I are linked by the bridging chlorine atom. © 2013 Pleiades Publishing, Ltd
Synthesis of a new aza-14-crown-4 with di(α-pyridyl)-substituted bispidine subunit and the crystal structure of its complex with CoCl2
The aza-14-crown-4 with the di(α-pyridyl)-substituted bispidine subunit (L) and its cationanion complex with cobalt(II) chloride of composition [Co(L)(H2O)][CoCl4] (I) have been synthesized. The structure of compound L has been proved by IR spectroscopy, NMR, and mass spectrometry. X-ray crystallography has demonstrated that the L molecule in the complex is an NNNN-tetradentate chelating ligand, and the crown ether moiety is not directly bound to the metal cation. In the cationic moiety of the complex, the Co(1) atom has an octahedral environment, and the Co(2) polyhedron in the anionic moiety is a tetrahedron. The cationic and anionic moieties of complex I are linked by the bridging chlorine atom. © 2013 Pleiades Publishing, Ltd
Study of methods for reducing the intrinsic background of a neutron detector for rare spontaneous fission events
Isolation of Sendai virus RNA from infected cells by the method of thermic fractionation
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