Results 31 to 40 of about 60,735 (247)
Discrete supersymmetries of the Schrodinger equation and non-local exactly solvable potentials [PDF]
, 2003 Using an isomorphism between Hilbert spaces $L^2$ and $\ell^{2}$ we consider Hamiltonians which have tridiagonal matrix representations (Jacobi matrices) in a discrete basis and an eigenvalue problem is reduced to solving a three term difference equation.
A.A Suzko +28 more
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Ergodic Jacobi Matrices and Conformal Maps [PDF]
Mathematical Physics, Analysis and Geometry, 2012 We study structural properties of the Lyapunov exponent $ $ and the density of states $k$ for ergodic (or just invariant) Jacobi matrices in a general framework. In this analysis, a central role is played by the function $w=- +i k$ as a conformal map between certain domains.
Hur, Injo, Remling, Christian
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On unbounded commuting Jacobi operators and some related issues
Concrete Operators, 2019 We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute ...
Osipov Andrey
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Block Jacobi matrices and Titchmarsh-Weyl function [PDF]
Opuscula MathematicaWe collect some results and notions concerning generalizations for block Jacobi matrices of several concepts, which have been important for spectral studies of the simpler and better known scalar Jacobi case.
Marcin Moszyński, Grzegorz Świderski
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On Commutators and Jacobi Matrices [PDF]
Proceedings of the American Mathematical Society, 1956 The closure, W, of the set of values (Cx, x) when ||x|| = 1 is a closed convex set (Hausdorff, cf. [8, p. 34]). A complex number z will be said to belong to the interior of W if z is in W and if one of the following conditions holds: (i) If W is two-dimensional, then z does not lie on the boundary of W; (ii) If W is a line segment, then z is not an end
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A Formula for Eigenvalues of Jacobi Matrices with a Reflection Symmetry
Advances in Mathematical Physics, 2018 The spectral properties of two special classes of Jacobi operators are studied. For the first class represented by the 2M-dimensional real Jacobi matrices whose entries are symmetric with respect to the secondary diagonal, a new polynomial identity ...
S. B. Rutkevich
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Localization of Discrete Time Quantum Walks on the Glued Trees
Entropy, 2014 In this paper, we consider the time averaged distribution of discrete time quantum walks on the glued trees. In order to analyze the walks on the glued trees, we consider a reduction to the walks on path graphs.
Yusuke Ide +3 more
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Alexandria Engineering Journal, 2021 This paper contributes to develop a highly accurate numerical method for solving two-dimensional mass transfer equations during convective air drying of apple slices.
Yin Yang +4 more
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Lieb–Thirring Inequalities for Jacobi Matrices
Journal of Approximation Theory, 2002 21 pages ...
Hundertmark, Dirk, Simon, Barry
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The construction of Jacobi and periodic Jacobi matrices with prescribed spectra [PDF]
Mathematics of Computation, 1980 The spectral properties of Jacobi and periodic Jacobi matrices are analyzed and algorithms for the construction of Jacobi and periodic Jacobi matrices with prescribed spectra are presented. Numerical evidence demonstrates that these algorithms are of practical utility.
Warren E. Ferguson
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