Complex Transmission Eigenvalues in One Dimension [PDF]
Abstract and Applied Analysis, 2014 We consider all of the transmission eigenvalues for one-dimensional media. We give some conditions under which complex eigenvalues exist. In the case when the index of refraction is constant, it is shown that all the transmission eigenvalues are real if ...
Yalin Zhang +3 more
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Microscopic universality of complex matrix model correlation functions at weak non-Hermiticity [PDF]
, 2002 The microscopic correlation functions of non-chiral random matrix models with complex eigenvalues are analyzed for a wide class of non-Gaussian measures.
Akemann, G, Akemann, Gernot, Akemann, G.
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Does Levinson's theorem count complex eigenvalues ? [PDF]
, 2017 International audienceYes 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 Schrödinger operator with inverse square potential on ...
Nicoleau, François +2 more
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Investigation of the Sturm–Liouville problems with integral boundary condition
Lietuvos Matematikos Rinkinys, 2011 This paper presents some new results on the spectrum of a complex plane for the second order Finite-Difference Scheme with one integral type nonlocal boundary condition (NBC).
Agnė Skučaitė, Artūras Štikonas
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Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition
Lietuvos Matematikos Rinkinys, 2013 In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition.
Kristina Skučaitė-Bingelė +1 more
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Investigation of the spectrum of the Sturm–Liouville problem with a nonlocal integral condition
Lietuvos Matematikos Rinkinys, 2013 This paper presents some new results on the spectrum for the second order dif-ferential problem with one integral type nonlocal boundary condition (NBC).
Agnė Skučaitė, Artūras Štikonas
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Spectrum curves for a discrete Sturm–Liouville problem with one integral boundary condition
Nonlinear Analysis, 2019 This paper presents new results on the spectrum on complex plane for discrete Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters: γ, ξ1 and ξ2.
Kristina Bingelė +2 more
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Eigenvibrations of a beam with two mechanical resonators attached to the ends [PDF]
MATEC Web of Conferences, 2020 The fourth-order ordinary differential spectral problem describing vertical eigenvibrations of a beam with two mechanical resonators attached to the ends is studied. This problem has positive simple eigenvalues and corresponding eigenfunctions. We define
Koronova L. N. +3 more
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Asymptotic approximation of eigenvalues of vector equations [PDF]
, 2005 A vectorial extension of the Keller-Rubinow method of computing asymptotic approximations of eigenvalues in bounded domains is presented. The method is applied to the problem of a multimode step-profile cylindrical optical fibre, including the effects ...
Chapman, Stephen +4 more
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Characteristic polynomials of complex random matrix models [PDF]
, 2002 We calculate the expectation value of an arbitrary product of characteristic polynomials of complex random matrices and their hermitian conjugates. Using the technique of orthogonal polynomials in the complex plane our result can be written in terms of
Akemann, G +3 more
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