Results 11 to 20 of about 408,199 (314)
Algorithms, 2023 A vibrating pylon, modeled as a waveguide, with an attached point mass that is time-varying poses a numerically challenging problem regarding the most efficient way for eigenvalue extraction.
George D. Manolis, Georgios I. Dadoulis
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Complex eigenvalues in Kuryshkin-Wodkiewicz quantum mechanics
Discrete and Continuous Models and Applied Computational Science, 2022 One of the possible versions of quantum mechanics, known as Kuryshkin-Wodkiewicz quantum mechanics, is considered. In this version, the quantum distribution function is positive, but, as a retribution for this, the von Neumann quantization rule is ...
Alexander V. Zorin +2 more
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Adaptive eigenvalue computation: complexity estimates [PDF]
Numerische Mathematik, 2008 submitted to Math ...
Dahmen, Wolfgang +3 more
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Does Levinson’s theorem count complex eigenvalues? [PDF]
Journal of Mathematical Physics, 2017 Yes it does ! Indeed an extended version of Levinson's theorem is proposed for a system involving complex eigenvalues. The perturbed system corresponds to a realization of the Schroedinger operator with inverse square potential on the half-line, while the Dirichlet Laplacian on the half-line is chosen for the reference system. The resulting relation is
Nicoleau, François +2 more
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Gershgorin disk theorem in complex interval matrices [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 In this article, the Gershgorin disk theorem in complex interval matrices is proposed for enclosing interval eigenvalues. This is a non-iterative method for finding eigenvalue bounds for both real and imaginary parts.
Suman Maiti, Snehashish Chakraverty
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Bounds on complex eigenvalues and resonances [PDF]
Journal of Physics A: Mathematical and General, 2000 We obtain bounds on the complex eigenvalues of non-self-adjoint Schrödinger operators with complex potentials, and also on the complex resonances of self-adjoint Schrödinger operators. Our bounds are compared with numerical results, and are seen to provide useful information.
Abramov, A A, Aslanyan, A, Davies, E B
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Pseudo-hermitian random matrix models: General formalism
Nuclear Physics B, 2022 Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional ...
Joshua Feinberg, Roman Riser
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The distribution of exterior transmission eigenvalues for spherically stratified media
AIMS Mathematics, 2023 The exterior transmission eigenvalues corresponding to spherical symmetry media and spherically symmetric eigenfunctions are considered. Under various coefficient conditions, we give the number and the asymptotic distribution (described by the subscript ...
Yalin Zhang, Jia Zhao
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Ratios of characteristic polynomials in complex matrix models [PDF]
, 2004 We compute correlation functions of inverse powers and ratios of characteristic polynomials for random matrix models with complex eigenvalues. Compact expressions are given in terms of orthogonal polynomials in the complex plane as well as their Cauchy ...
A Pottier +8 more
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Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2020 Complex eigenvalue analysis has generally been applied to squeal improvement of automotive brake systems in recent years. Discrimination of the occurrence of unstable vibration by modal coupling has become common in brake design.
Hayuru INOUE, Takayoshi KAMADA
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