[PDF] Top 20 sigma07-106. 226KB Jun 04 2011 12:10:09 AM

... for the polynomials, thus it has a power series expansion, with coefficients analytic in λ, which are in turn determined by their restriction to the values of the form λ = −(η + ρ). Note that we may define a Hilbert ... Lihat dokumen lengkap

... Let us see how the one-loop contribution (12) will look like for a particular types of wavelets. The basic wavelet ψ is just an analysing function to study the object φ, and the conditions imposed on it are rather ... Lihat dokumen lengkap

... Key words: quantum mechanics; singular potential; self-adjointness; boundary condition 2000 Mathematics Subject Classification: 81Q10 1 Introduction Let us consider a quantum mechanic[r] ... Lihat dokumen lengkap

... The Laplacian subject to Robin boundary conditions can be also used in the problem to find the electro-magnetic field outside the object consisting of a conducting core covered by a dielectric layer. If the thickness of ... Lihat dokumen lengkap

... This set of principles is of great help in the determination of the possible g-modules N for each Lie algebras of first order differential operators g described in Tables 1 and 2. Depending on the elements contained in ... Lihat dokumen lengkap

... A Determination of the propagator for the harmonic oscillator We shall proceed to express the Green function Gx, x′, E in terms of its energy poles and residues and then apply the Lapl[r] ... Lihat dokumen lengkap

... arising at the resonances. Omitting tedious computational details of this, we give here only the result. The compatibility conditions turn out to be satisfied identically at the resonances of all branches (13)–(16), ... Lihat dokumen lengkap

... Note that from this formula, it is not evident that C is independent of the choice of basis. We want to express the Casimir operator C acting on sections of an arbitrary homogeneous vector bundle via the fundamental ... Lihat dokumen lengkap

... taken to be all of H . While Assumptions 1, 2 and 3 are quite often satisfied, [12], it is quite difficult to find physical examples satisfying also Assumption 4. On the other hand, it is rather easy to find ... Lihat dokumen lengkap

... Now we go over to main point of our scheme: we shall apply different appropriate choices of functional dependence p = f (q). This way, from general two-parameter q,p-oscillator we can obtain various versions of ... Lihat dokumen lengkap

... measure of “non-symmetry” in a given direction was applied to the Taub cosmological solu- tion [10] and to study gravitational radiation. It provides a choice of gauge that makes calcu- lations simpler and was ... Lihat dokumen lengkap

... There are some second order symmetries of the Laplacian on R n that should be regarded as trivial. If D = h∆ for some smooth function h, then ∆D = δ∆ simply by taking δf = ∆(hf ). All symmetries preserve harmonic ... Lihat dokumen lengkap

... Sobolev and Hardy type inequalities play an important role in many areas of mathematics and mathematical physics. They have become standard tools in existence and regularity theories for solutions to partial differential ... Lihat dokumen lengkap

... The most part of known exact RHD solutions concerns plane (1 + 1 dimensional) barotropic relativistic flows. The Riemann simple waves are the example (see, e.g., [3]). In the case of the linear EOS the method of ... Lihat dokumen lengkap

... This state is interpreted as the “physical” electron positron and it allows one to solve the following problems: i to express the “primary” charge e0 and the mass m0 of the “bare” electr[r] ... Lihat dokumen lengkap

... Double forms were introduced first by De Rham and then developed in the seventies of the last century by Thorpe [36], Kulkarni [16], Nomizu [29], Gray [12], Kowalski [15], Nasu [28] etc. Double forms and the more ... Lihat dokumen lengkap

... In this section, we show that in dimension 4 the total Q-curvature bounds from below the square of the Yamabe invariant. Using the conformal covariance of the Yamabe and the Paneitz– Branson operators together with a ... Lihat dokumen lengkap

... The solvability of (3), under the above hypotheses, is useful in the study of some confor- mally invariant fully non-linear equations, as shown in [13]. Some remarkable geometric con- sequences of this study, given in ... Lihat dokumen lengkap

... Recent advances in the quantitative description of the Teichm¨ uller spaces of hyperbolic structures were mainly based on the graph (combinatorial) description of the corresponding spaces [19, 7]. The corresponding ... Lihat dokumen lengkap

... depends on the tangent vector ˙ γ to the transporting curve γ ). Thus the effect of additional noncommutative “Lorentz-like” force is an infinitesimal rotation of actual velocity that precedes the next “commutative” ... Lihat dokumen lengkap