Short, intense laser pulses can be used to access the transition regime between classical and quantum optical responses in dielectrics. In this regime, the relative roles of inter- and intraband light-driven electronic transitions remain uncertain. We applied attosecond transient absorption spectroscopy to investigate the interaction between polycrystalline diamond and a few-femtosecond infrare...

A model for a finite group is set of linear characters subgroups that can be induced to obtain every irreducible character exactly once. perfect Coxeter in which the relevant are quasiparabolic centralizers involutions. In prior work, we showed models give rise interesting examples W-graphs. Here, classify groups have models. Specifically, prove with those types An, Bn, D2n+1, H3, or I2(n). We ...

it is well known that the parabolic partial differential equationsin two or more space dimensions with overspecified boundary data,feature in the mathematical modeling of many phenomena. in thisarticle, an inverse problem of determining an unknowntime-dependent source term of a parabolic equation in generaldimensions is considered. employing some transformations, wechange the inverse problem to...

Let (W; S) be a Coxeter system ((1] ch. 4), where we assume S to be nite, with n elements , n 1. The theory of these groups exhibits a deep interplay between geometry and combinatorics; in fact, many basic combinatorial facts about them are most conveniently proved using an explicit geometric realization, and are best understood in that setting. This is also the approach taken by most computer ...

g∗ −→ g, λ 7→ Xλ characterized by λ(Y ) =< Xλ, Y >, Y ∈ g. Therefore the coadjoint G-orbits in g∗ may be identified with adjoint G-orbits in g. The philosophy of the orbit method says that we may attach the irreducible unitary representations of G to the coadjoint orbits in g∗. Historically the orbit method that was first initiated by A.A. Kirillov (cf. [K]) early in the 1960s in a real nilpote...

We call a Maass lift a prescription to associate an irreducible admissible resp. uni-tary representation of G = PGSp(4) to an irreducible admissible resp. unitary representation of the Jacobi group G J = SL(2) n H. Such a prescription is constructed in the general local case for the principal series representations J m;; of G J and moreover in the real case for the discrete series representatio...

in a previous work, we introduced particular fuzzy numbers anddiscussed some of their properties. in this paper we use the comparison methodintroduced by dorohonceanu and marin[5] to compare between these fuzzynumbers.

‎in this paper a nonlinear backward parabolic problem in one‎ ‎dimensional space is considered‎. ‎using a suitable iterative‎ ‎algorithm‎, ‎the problem is converted to a linear backward parabolic‎ ‎problem‎. ‎for the corresponding problem‎, ‎the backward finite‎ ‎differences method with suitable grid size is applied‎. ‎it is shown‎ ‎that if the coefficients satisfy some special conditions‎, ‎th...

reflection seismic data consist of primary reflections, coherent and incoherent noises. one of the objectives of seismic data processing is to enhance the quality of the real signals by attenuating different kinds of noises. multiples constitute one of the most troublesome forms of coherent noises in exploration seismology. multiple reflections often destructively interfere with the desired pri...

We present optical fields formed by superposing nondiffracting parabolic beams with distinct longitudinal wave-vector components, generating light profiles that display intensity fluxes following parabolic paths in the transverse plane. Their propagation dynamics vary depending on the physical mechanism originating interference, where the possibilities include constructive and destructive inter...