Results 1 to 10 of about 47,998 (265)
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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On eigenvalues of random complexes [PDF]
Israel Journal of Mathematics, 2016 Extended full version of an extended abstract that appeared at SoCG 2012, to appear in Israel Journal of ...
Anna Gundert, Uli Wagner 0001
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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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Mathematics, 2022 A rigorous approach was employed for the accurate evaluation of the electromagnetic interaction between a thin metallic rod and a two-dimensional (2D) slotted cavity.
Elena D. Vinogradova, Paul D. Smith
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Entropy, 2022 Complex eigenvalues of random matrices J=GUE+iγdiag(1,0,…,0) provide the simplest model for studying resonances in wave scattering from a quantum chaotic system via a single open channel.
Yan V. Fyodorov +2 more
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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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On the Complexity of the Eigenvalue Deletion Problem
CoRR, 2023 27 pages; this is the full version of a paper accepted for presentation at the 34th International Symposium on Algorithms and Computation (ISAAC 2023)
Misra, Neeldhara +3 more
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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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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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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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