Results 21 to 30 of about 408,199 (314)
PT-symmetry broken by point-group symmetry [PDF]
, 2013 We discuss a PT-symmetric Hamiltonian with complex eigenvalues. It is based on the dimensionless Schr\"{o}dinger equation for a particle in a square box with the PT-symmetric potential $V(x,y)=iaxy$.
Cotton F. A. +4 more
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Labor adjustment costs and complex eigenvalues [PDF]
Economic Theory, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fairise, Xavier, Fève, Patrick
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Complex Eigenvalue Splitting for the Dirac Operator [PDF]
Communications in Mathematical Physics, 2021 AbstractWe analyze the eigenvalue problem for the semiclassical Dirac (or Zakharov–Shabat) operator on the real line with general analytic potential. We provide Bohr–Sommerfeld quantization conditions near energy levels where the potential exhibits the characteristics of a single or double bump function.
Koki Hirota, Jens Wittsten
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Universal distribution of Lyapunov exponents for products of Ginibre matrices [PDF]
, 2014 Starting from exact analytical results on singular values and complex eigenvalues of products of independent Gaussian complex random $N\times N$ matrices also called Ginibre ensemble we rederive the Lyapunov exponents for an infinite product.
Akemann, Gernot +2 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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Structure of Eigenvalues of Multi-Point Boundary Value Problems
Advances in Difference Equations, 2010 The structure of eigenvalues of −y″+q(x)y=λy, y(0)=0, and y(1)=∑k=1mαky(ηk), will be studied, where q∈L1([0,1],ℝ), α=(αk)∈ℝm, and 0<η1<⋯ ...
Meirong Zhang, Dongmei Sun, Jie Gao
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Eigenvalue spectra of complex networks [PDF]
Journal of Physics A: Mathematical and General, 2005 Summary: We examine the eigenvalue spectrum, \(\rho(\mu)\), of the adjacency matrix of a random scale-free network with an average of \(p\) edges per vertex using the replica method. We show how in the dense limit, when \(p \to \infty\), one can obtain two relatively simple coupled equations whose solution yields \(\rho(\mu)\) for an arbitrary complex ...
Rodgers, G. J. +3 more
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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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Perturbation of eigenvalues of matrix pencils and optimal assignment problem [PDF]
, 2004 We consider a matrix pencil whose coefficients depend on a positive parameter $\epsilon$, and have asymptotic equivalents of the form $a\epsilon^A$ when $\epsilon$ goes to zero, where the leading coefficient $a$ is complex, and the leading exponent $A ...
Baccelli +13 more
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Lietuvos Matematikos Rinkinys, 2011 The Sturm–Liouville problem with one classical and another two-point nonlocal boundary condition is considered in this paper. These problems with nonlocal boundary condition are not self-adjoint, so the spectrum has complex points. We investigate how the
Kristina Skučaitė-Bingelė +1 more
doaj +1 more source