Basilar membrane (BM) responses to two types of broadband stimuli-clicks and Schroeder-phase complexes--were recorded at several sites at the base of the chinchilla cochlea. Recording sites (characteristic frequency, CF, in the range of 5.5-18 kHz) span the 1-4-mm basal region of the basilar membrane. BM responses to clicks consisted of undamped oscillations with instantaneous frequency that in...

In this paper, we apply fractional complex transform to convert the fractional nonlinear Schr"{o}dinger equations to the nonlinear Schr"{o}dinger equations.  

Schrodinger and Heisenberg gave two very di erent views about the physical meaning of an electron wave function. We argue that Schrodinger's view may have been dismissed prematurely through failure to appreciate the stabilizing e ects of forces due to Zitterbewegung, and suggest experiments now feasible which might decide the issue.

We examine the use of orthogonal spline collocation for the semi-discretization of the cubic Schr odinger equation and the two-dimensional parabolic equation of Tappert. In each case, an optimal order L 2 estimate of the error in the semidiscrete approximation is derived. For the cubic Schr odinger equation, we present the results of numerical experiments in which the integration in time is p...

This note presents a relational formalization of Hennessy-Milner properties in Schroder categories.

A novel numerical approach to solving Schr odinger's equation as applied to quantum well heterostructures is described. The quantum mechanical energy subbands, wave functions and charge density are calculated based on a two-directional fourthorder Runge-Kutta (RK4) algorithm. The algorithm is applied to well-de ned quantum well structures. Results are compared with analytic solutions to ensure...

A detailed review is given of the semiclassical approximation to quantum gravity in the canonical framework. This includes in particular the derivation of the functional Schrodinger equation and a discussion of semiclassical time as well as the derivation of quantum gravitational correction terms to the Schrodinger equation. These terms are used to calculate energy shifts for elds in De Sitte...

A permutation avoids the subpattern i3 has no subsequence having all the same pairwise comparisons as , and we write ∈ S( ). We examine the classes of permutations, S(321); S(321; 37 142) and S(4231; 4132), enumerated, respectively by the famous Catalan, Motzkin and Schr; oder number sequences. We determine their generating functions according to their length, number of active sites and inversi...

In this Letter we introduce a systematic perturbation method for analyzing the e ect of small perturbations on critical self focusing by reducing the perturbed critical nonlinear Schrodinger equation (PNLS) to a simpler system of modulation equations that do not depend on the transverse variables. The modulation equations can be further simpli ed, depending on whether PNLS is power conserving ...