spectral problem
Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem
... Figure 6: Curve k 7→ |R 00 (k)| (modulus of the reflection coefficient) for k ∈ (0.1; 3.1). The green and red dots represent respectively the reflectionless modes and the trapped modes computed in Figure 4. We indeed ...
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A non elliptic spectral problem related to the analysis of superconductive micro-strip lines
... the spectral analysis of A (self-adjointness, continuous spectrum, characterization of positive ...this problem cannot be considered as an approximation of the physical vector ...
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Inverse spectral problem for singular AKNS operator on [0,1].
... inverse spectral problem is kind of degenerated: for instance, the Ambarzumian type theorem obtained by Kiss [14] who proves that for all m 6= 0 and q ∈ C([0, 1]; R), if H 0 (V ) has the same eigenvalues as ...
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Inverse spectral problem for radial Schrödinger operator on [0, 1]
... This idea is the key point for such an inverse spectral problem. It was first introduced by Guillot and Ralston for a = 1. Their goal was to transform scalar products with the first Bessel functions into ...
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An inverse spectral problem for a schrodinger operator with unbounded potential
... [G.S.1] F. Gesztesy and B. Simon, Uniqueness Theorems in Inverse Spectral Theory for One-Dimensional Schr¨ odinger Operators , Trans. Am. Math. Soc., 348, 1996, 349-373. [G.S.2] F. Gesztesy and B. Simon, A New ...
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Uniqueness results in the inverse spectral Steklov problem
... References [1] Agranovich, M. On a mixed Poincaré-Steklov type spectral problem in a Lipschitz domain. Russian Journal of Mathematical Physics 13, 3 (2006), 239–244. [2] Colbois, B., Girouard, A., and ...
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A New Spatio-Spectral Morphological Segmentation For Multi-Spectral Remote-Sensing Images
... a spectral classification on the factor space, described in section ...a spectral pre-segmentation of the ...and spectral information is estimated by simulation using a stochastic WS approach driven ...
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Perspectives on the measurement problem : perspectives from the measurement problem
... Hume’s problem of induction shows that one can hardly rely on uniformity to support general claims. As such, the historical analysis of Feyerabend and Kuhn cannot serve as reason to reject the assumption of an ...
157
From the Schrödinger problem to the Monge-Kantorovich problem
... the first and second marginal measures of the joint probability measure π ∈ P(X 2 ). Optimal transport is an active field of research. For a remarkable overview of this exciting topic, see Villani’s textbook [Vil09] and ...
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Spectral Detection on Sparse Hypergraphs
... 4 Institut de Physique Th´eorique, CEA Saclay, 91191 Gif-sur-Yvette, France These problems have been well studied in the case of graphs with simple edges between couples of vertices. How- ever, many networks have a ...
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A Spectral Identiy Card
... of spectral analysis presented in this paper leads to an automatic process for detecting, characterizing and classifying sinusoidal waves and narrow band signals of an unknown stationary ...different ...
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Towards spectral mathematical morphology
... for spectral data in Chapter 3 and 4, respectively, a distance-based spectral ROF can be obtained ...of spectral difference function and spectral ordering relation does not imply the validity ...
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Calderón cavities inverse problem as a shape-from-moments problem
... shape-from-GPST problem (namely reconstruct- ing γ from the quantities hQ m γ , Q 1 γ i 1 2 ,γ ) as a moments ...moments problem consists in recovering an unknown measure with support in K ⊂ C from its ...
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Attosecond spectral shearing interferometry
... If the x-ray field consists of two identical pulses, centered at t t0 and t t0 , and short compared to the laser period, the laser field induces a well-defined energy shift W Wt0 [r] ...
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Spectral Determinants on Mandelstam Diagrams
... Dirichlet problem in semi-cylinders as ”free”, whereas we are using here for that purpose the Laplace opera- tor in the infinite cylinder), should not present a serious additional ...
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Weighted Spectral Embedding of Graphs
... novel spectral embedding of graphs that incorporates weights assigned to the nodes, quantifying their relative ...This spectral embedding is based on the first eigenvectors of some properly normalized ...
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Spectral properties of chaotic processes
... [11] J. Dedecker and E. Rio, (2005). On Esseen’s mean central limit theorem for dependent sequences. Preprint 138. http://www.math.uvsq.fr/laboratoire/activites/dossierprepub/index.html [12] P. Doukhan and J. R. Le´ on, ...
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Regularity of optimal spectral domains
... min λ 1 (Ω) + µ[|Ω| − a] + , Ω ⊂ D , (5) for µ large enough (see Proposition 2.6). Then, analysis of the regularity may be more easily made on the optimal shapes of (5). In Paragraph 2.3.2, we make an heuristic analysis ...
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Examples of spectral minimal partitions
... of spectral minimal partitions has been actively investigated by the shape optimization com- munity during recent ...specific problem, for which the quantity to be optimized depends on the Dirichlet ...
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Calculation of beta spectral shapes
... Our determination of the screening e ffect is more accurate than the usual one, because we take into account the spatial extension of the electron wave functions. For the first time, we took into account the atomic ...
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