The results of a joint experimental and theoretical study concerning elastic electron scattering by laser-excited 138Ba(. . . 6s6p P1) atoms are described. These studies demonstrate several important aspects of elastic electron collisions with coherently excited atoms, and are the first such studies. From the measurements, collision and coherence parameters, as well as cross sections associated...

OBJECTIVES To evaluate the effectiveness of selective neck dissection of sublevel IIa and level III in cases of glottis and supraglottic laryngeal carcinoma in the absence of lymph node metastasis and to show if there is value in dissecting the sublevel IIb or level IV in these cases. PATIENTS AND METHODS Twenty-five patients with N0 glottic or supraglottic cancer were subjected to unilateral...

Diierential semblance velocity estimators have well-deened and smooth high frequency asymptotics. A version appropriate for analysis of CMP gathers and layered acoustic models has no secondary minima within a sublevel set of velocity prooles, independent of data frequency content, unlike other estimators such as stack power and output least squares. The sublevel set is characterized by the inte...

1. Sublevel set estimates The importance of sublevel set estimates in van der Corput lemmas was highlighted by A. Carbery, M. Christ, and J. Wright [3], [4]. We find the sharp constant in the following sublevel set estimate. We will use this in Section 4 to prove an asymptotically sharp van der Corput lemma. The constants Cn take different values in each lemma. Lemma 1. Suppose that f : (a, b) ...

We establish various inequalities relating the coefficients of a polynomial with the separation of its roots. Applications are given to oscillatory integrals and sublevel sets in euclidean harmonic analysis as well as exponential sums and polynomial congruences in number theory. These applications depend on precise structural statements of sublevel sets for polynomials with coefficients in a ge...

A mechanism is presented explammg a reported heavy-atom-Induced magnetic field effect as a consequence of nonequihbrmm tnplet sublevel population m an mtermedlate euclplex. The tnplet exclplex spm polanzatlon IS induced by sublevel-selective mtersystem crossmg from the ewlplex trIplet to Its smglet ground state and IS decreased by an external magnetic field. The theory accounts almost quantltat...

The dynamics of coherences between sublevels of an electronic ground state is investigated under conditions of modulated optical pumping. It is shown that the modulation corresponds to an effective reduction of the apparent sublevel splitting, thereby allowing the excitation of coherences between atomic sublevels whose energy splitting would require very high laser intensities for dc excitation...

In this paper, we generalize the upper bound in Varadhan’s Lemma. The standard formulation of Varadhan’s Lemma contains two important elements, namely an upper semicontinuous integrand and a rate function with compact sublevel sets. However, motivated by results from queueing theory, in this paper we do not assume that rate functions have compact sublevel sets. Moreover, we drop the assumption ...

The question in the form (1.2) was posed by Li, Tao, Thiele, and this author in [5]. Nonoscillatory inequalities of the form ∫ ∏ j |fj◦`j | . ∏ j ‖fj‖Lpj have been studied in [1],[2]. Oscillatory integral inequalities of this type have been extensively studied for n = 2, where one is dealing with bilinear forms 〈Tλ(f1), f2〉. The associated linear operators Tλ are commonly known as oscillatory i...