Results 11 to 20 of about 112,539 (200)
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2023 The paper presents two schemes for the sequential construction of the classical normal form and its quantum analogue for some classes of classical Hamiltonian systems.
I.N. Belyaeva +3 more
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Entropy of Eigenfunctions [PDF]
, 2009 We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and improve this lower bound in the case of variable negative curvature.
Anantharaman, Nalini +2 more
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Eigenfunction statistics for a point scatterer on a three-dimensional torus [PDF]
, 2012 In this paper we study eigenfunction statistics for a point scatterer (the Laplacian perturbed by a delta-potential) on a three-dimensional flat torus.
A. Schnirelman +10 more
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Matching the LBO Eigenspace of Non-Rigid Shapes via High Order Statistics
Axioms, 2014 A fundamental tool in shape analysis is the virtual embedding of the Riemannian manifold describing the geometry of a shape into Euclidean space. Several methods have been proposed to embed isometric shapes into flat domains, while preserving the ...
Alon Shtern, Ron Kimmel
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Zeros of eigenfunctions of some anharmonic oscillators [PDF]
, 2006 We study eigenfunctions of Schrodinger operators -y"+Py on the real line with zero boundary conditions, whose potentials P are real even polynomials with positive leading coefficients.
Eremenko, Alexandre +2 more
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Cumhuriyet Science Journal, 2019 In this study, we examined the formula of the regularizedtrace of the self-adjoint operator which is formed bydifferentialexpression and anti-periodic boundary condition.
Seda Kızılbudak Çalışkan +1 more
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Bounds on supremum norms for Hecke eigenfunctions of quantized cat maps [PDF]
, 2006 We study extreme values of desymmetrized eigenfunctions (so called Hecke eigenfunctions) for the quantized cat map, a quantization of a hyperbolic linear map of the torus.
Kurlberg, Par
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Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2023 Relevance The last of the decades (approximately from the 90s of the 20th century) to rapid grow of photonics. That's why, firstly, relevance this work is related to relevance diffraction problems for the structures of optics ranges (photonic crystal ...
О.V. Kazanko, О.E. Penkina
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Axioms, 2022 In this paper, we study the eigenfunctions to one nonlocal second-order differential operator with double involution. We give an explicit form of the eigenfunctions to the boundary value problem in the unit ball with Dirichlet conditions on the boundary.
Batirkhan Turmetov, Valery Karachik
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Uniform localization is always uniform [PDF]
, 2015 In this note we show that if a family of ergodic Schr\"odinger operators on $l^2({\Bbb Z}^\gamma)$ with continuous potentials have uniformly localized eigenfunctions then these eigenfunctions must be uniformly localized in a homogeneous ...
Han, Rui
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