نتایج جستجو برای: discrete and continuous eigenfunctions

تعداد نتایج: 16884541  

2013
Nelson H. F. Beebe

33]. algebraic [5]. Angular [24]. Applications [30]. arbitrary [8]. associated [18]. Axiomatic [31]. between [27]. bounded [11, 14]. Boundedness [16]. Cayleyan [4]. certain [9]. characteristic [35]. combinatorial [30]. Completely [13]. Congruence [27]. conjugate [7]. continuous [12]. convex [7]. courbure [2]. critical [8]. curvature [24, 2]. degree [33, 11]. density [25]. differential [18]. dim...

Journal: :European Journal for Philosophy of Science 2013

2006
Barbara Prinari Mark J. Ablowitz Gino Biondini

The inverse scattering transform for the vector defocusing nonlinear Schrödinger NLS equation with nonvanishing boundary values at infinity is constructed. The direct scattering problem is formulated on a two-sheeted covering of the complex plane. Two out of the six Jost eigenfunctions, however, do not admit an analytic extension on either sheet of the Riemann surface. Therefore, a suitable mod...

PT-Symmetry is one of the interesting topics in quantum mechanics and optics. One of the demonstration of PT-Symmetric effects in optics is appeared in the nonlinear directional coupler (NLDC). In the paper we numerically investigate the stability of temporal bright solitons propagate in a PT-Symmetric NLDC by considering gain in bar and loss in cross. By using the analytical solutions of pertu...

Journal: :international journal of civil engineering 0
a. kaveh iust b. mirzaei iust a. jafarvand iust

in this paper, the problem of simultaneous shape and size optimization of single-layer barrel vault frames which contains both of discrete and continuous variables is addressed. in this method, the improved magnetic charged system search (imcss) is utilized as the optimization algorithm and the open application programming interface (oapi) plays the role of interfacing analysis software with th...

2009
Yuqin Yao Xiaojun Liu Yunbo Zeng

Abstract Inspired by the squared eigenfunction symmetry constraint, we introduce a new τk-flow by “extending” a specific tn-flow of discrete KP hierarchy (DKPH). We construct extended discrete KPH (exDKPH), which consists of tnflow, τk-flow and tn evolution of eigenfunction and adjoint eigenfunctions, and its Lax representation. The exDKPH contains two types of discrete KP equation with self-co...

2007
LEONID FRIEDLANDER

We consider the Dirichlet Laplacian ∆ in a family of bounded domains {−a < x < b, 0 < y < h(x)}. The main assumption is that x = 0 is the only point of global maximum of the positive, continuous function h(x). We find the two-term asymptotics in → 0 of the eigenvalues and the one-term asymptotics of the corresponding eigenfunctions. The asymptotic formulae obtained involve the eigenvalues and e...

2017
DOUGLAS N. ARNOLD GUY DAVID SVITLANA MAYBORODA

The approximation of the eigenvalues and eigenfunctions of an elliptic operator is a key computational task in many areas of applied mathematics and computational physics. An important case, especially in quantum physics, is the computation of the spectrum of a Schrödinger operator with a disordered potential. Unlike plane waves or Bloch waves that arise as Schrödinger eigenfunctions for period...

2000
G. S. DJORDJEVIĆ B. DRAGOVICH LJ. NEŠIĆ

We consider spectral problem for a free relativistic particle in p-adic and adelic quantum mechanics. In particular, we found p-adic and adelic eigenfunctions. Within adelic approach there exist quantum states that exhibit discrete structure of spacetime at the Planck scale.

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