Results 41 to 50 of about 408,199 (314)
Microscopic correlations of non-Hermitian Dirac operators in three-dimensional QCD [PDF]
In the presence of a non-vanishing chemical potential the eigenvalues of the Dirac operator become complex. We calculate spectral correlation functions of complex eigenvalues using a random matrix model approach.
Akemann, G
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A COMPUTATION PERSPECTIVE FOR THE EIGENVALUES OF CIRCULANT MATRICES INVOLVING GEOMETRIC PROGRESSION
In this article, the eigenvalues and inverse of circulant matrices with entries in the first row having the form of a geometric sequence are formulated explicitly in a simple form in one theorem. The method for deriving the formulation of the determinant
SISWANDI SISWANDI +3 more
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Complex eigenvalues, resonances, play an important role in large variety of fields in physics and chemistry. For example, in cold molecular collision experiments and electron scattering experiments, autoionizing and pre-dissociative metastable resonances
Haritan, Idan +3 more
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Design of Multi-Loop Modal Control Systems for Plants Having Complex Eigenvalues
In this paper a design procedure is developed which makes it possible to alter both the real and imaginary parts of any number of pairs of conjugate complex plant eigenvalues: this procedure alters one pair of conjugate eigenvalues at a time by the ...
B. Porter MA, PhD, CEng, AMIMechE +1 more
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Unquenched complex Dirac spectra at nonzero chemical potential: Two-colour QCD lattice data versus matrix model [PDF]
We compare analytic predictions of non-Hermitian chiral random matrix theory with the complex Dirac operator eigenvalue spectrum of two-color lattice gauge theory with dynamical fermions at nonzero chemical potential.
Elmar Bittner +3 more
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Eigenvalue localization for complex matrices
Let $A$ be an $n\times n$ complex matrix with $n\geq 3$. It is shown that at least $n-2$ of the eigenvalues of $A$ lie in the disk \begin{equation*}\left\vert z-\frac{\func{tr}A}{n}\right\vert \leq \sqrt{\frac{n-1}{n}\left(\sqrt{\left( \left\Vert A\right\Vert _{2}^{2}-\frac{\left\vert \func{tr} A\right\vert ^{2}}{n}\right) ^{2}-\frac{\left\Vert A ...
Ibrahim Gumus +2 more
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In this paper the algorithm of finding eigenvalues and eigenfunctions for the leaky modes in a three-layer planar dielectric waveguide is considered.
Divakov Dmitriy +2 more
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On the eigenvalues of some nonhermitian oscillators [PDF]
We consider a class of one-dimensional nonhermitian oscillators and discuss the relationship between the real eigenvalues of PT-symmetric oscillators and the resonances obtained by different authors.
Fern/'andez, Francisco M. +1 more
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On the eigenvalue problems for differential operators with coupled boundary conditions
In the paper, the eigenvalue problems for one- and two-dimensional second order differential operators with nonlocal coupled boundary conditions are considered.
S. Sajavičius
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Transformation of Eigenvalues of the Zakharov–Shabat Problem under the Effect of Soliton Collision [PDF]
Background and Objectives: The Zakharov–Shabat spectral problem allows to find soliton solutions of the nonlinear Schrodinger equation. Solving the Zakharov–Shabat problem gives both a discrete set of eigenvalues λj and a continuous one.
Konyukhov, Andrey Ivanovich
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