Results 11 to 20 of about 112,931 (232)
Entropy of eigenfunctions [PDF]
, 2007 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 ...
Anantharaman, Nalini +2 more
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Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 There exists a large class of quantum many-body systems of Calogero-Sutherland type where all particles can have different masses and coupling constants and which nevertheless are such that one can construct a complete (in a certain sense) set of exact ...
Edwin Langmann
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A method of generating a random optical field using the Karhunen-Loeve expansion to simulate atmospheric turbulence [PDF]
Компьютерная оптика, 2020 It is proposed to use the random field generation in the numerical simulation of the propagation of radiation through a random medium using method based on the Karhunen–Loeve expansion with various types of correlation operators to describe turbulence ...
Svetlana Khonina +2 more
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Comparison of Direct and Adjoint k and α-Eigenfunctions
Journal of Nuclear Engineering, 2021 Modal expansions based on k-eigenvalues and α-eigenvalues are commonly used in order to investigate the reactor behaviour, each with a distinct point of view: the former is related to fission generations, whereas the latter is related to time. Well-known
Vito Vitali +4 more
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Higher-spin initial data in twistor space with complex stargenvalues
Journal of High Energy Physics, 2020 This paper is a supplement to and extension of arXiv:1903.01399. In the internal twistor space of the 4D Vasiliev’s higher-spin gravity, we study the star-product eigenfunctions of number operators with generic complex eigenvalues.
Yihao Yin
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An estimation of the eigenfunctions of periodic Sturm-Liouville problems
Arab Journal of Basic and Applied Sciences, 2021 In this paper, the numerical estimations for the eigenfunctions corresponding to the eigenvalues of Sturm-Liouville problem with periodic and semi-periodic boundary conditions are considered.
Seza Dinibutun
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Non-classical periodic boundary value problems with impulsive conditions
Journal of New Results in Science, 2023 This study investigates some spectral properties of a new type of periodic Sturm-Liouville problem. The problem under consideration differs from the classical ones in that the differential equation is given on two disjoint segments that have a common end,
Sevda Nur Öztürk +2 more
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Method for determining eigen numbers in heat conduction problems for a cylinder
Известия высших учебных заведений: Проблемы энергетики, 2023 RELEVANCE. Due to the difficulties of finding eigenvalues and proper functions for bodies with axial (cylinder) and central (ball) symmetries defined in classical methods from the edge Sturm-Liouville problems, including Bessel equations whose exact ...
E. V. Kotova +2 more
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Mathematics, 2020 The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
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Solvability of Mixed Problems for a Fourth-Order Equation with Involution and Fractional Derivative
Fractal and Fractional, 2023 In the present work, two-dimensional mixed problems with the Caputo fractional order differential operator are studied using the Fourier method of separation of variables.
Mokhtar Kirane, Abdissalam A. Sarsenbi
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