We study the peformances of Raman velocimetry applied to laser-cooled, spinpolarized, cesium atoms. Atoms are optically pumped into the F = 4, m4 = 0 ground-state Zeeman sublevel, which is insensitive to magnetic perturbations. High resolution Raman stimulated spectroscopy is shown to produce Fourier-limited lines, allowing, in realistic experimental conditions, atomic velocity selection to one...

Basic questions concerning nonsingular multilinear operators with oscillatory factors are posed and partially answered. L norm inequalities are established for multilinear integral operators of Calderón-Zygmund type which incorporate oscillatory factors e iP , where P is a real-valued polynomial. A related problem concerning upper bounds for measures of sublevel sets is solved.

We establish an existence result for a class of quasilinear elliptic boundary value problems with jumping nonlinearities using variational arguments. First we calculate certain homotopy groups of sublevel sets of the asymptotic part of the variational functional. Then we use these groups to show that the full functional admits a linking geometry and hence a minmax critical point.

We investigate decay near boundary of the volume sublevel sets in Cegrell classes m-subharmonic function on bounded domains ℂn. On reverse direction, some sufficient conditions for membership certain Cegrell’s classes, terms sets, are also discussed.

We have performed high precision measurements of level splitting and level shifts of an excited atomic state in the presence of an intense optical field. Such measurements are important to the understanding of the details of atom-field interaction and in the development of high precision optical clocks. The level we studied is an isolated 2 single magnetic sublevel 3 P3/2 (F= 3, 2m F = 3) in so...

We investigate the nontrivial solutions for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary condition and periodic condition with a superquadratic nonlinear terms at infinity which have continuous derivatives. We approach the variational method and use the critical point theory on the manifold, in terms of the limit relative category of the sublevel...

The lymph nodes of the neck can be divided into six levels. Recently, the American Academy of Otolaryngology–Head and Neck Surgery and the Committee for Head and Neck Surgery and Oncology recommended that levels I, II and V be sub-divided into the respective sublevels of A and B. In other publications we have discussed the importance of the sublevels specific for levels I and II. In this report...