Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Bebiano, Natália"'
The higher rank numerical ranges of generic matrices are described in terms of the components of their Kippenhahn curves. Cases of tridiagonal (in particular, reciprocal) 2-periodic matrices are treated in more detail.
Comment: 14 pages, 10 figu
Comment: 14 pages, 10 figu
Externí odkaz:
http://arxiv.org/abs/2104.07893
Tridiagonal matrices with constant main diagonal and reciprocal pairs of off-diagonal entries are considered. Conditions for such matrices with sizes up to 6-by-6 to have elliptical numerical ranges are obtained.
Comment: 20 pages, 4 figures
Comment: 20 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/2011.00849
Publikováno v:
In Applied Mathematics and Computation 1 March 2025 488
The relevance in Physics of non-Hermitian operators with real eigenvalues is being widely recognized not only in quantum mechanics but also in other areas, such as quantum optics, quantum fluid dynamics and quantum field theory. %stochastic processes
Externí odkaz:
http://arxiv.org/abs/2004.07205
Publikováno v:
In Linear Algebra and Its Applications 1 October 2023 674:256-281
Non-Hermitian Hamiltonians possessing a discrete real spectrum motivated a remarkable research activity in quantum physics and new insights have emerged. In this paper we formulate concepts of statistical thermodynamics for systems described by non-H
Externí odkaz:
http://arxiv.org/abs/1907.13221
This paper deals with the mathematical spectral analysis and physical interpretation of a fermionic system described by a non-Hermitian Hamiltonian possessing real eigenvalues. A statistical thermodynamical description of such a system is considered.
Externí odkaz:
http://arxiv.org/abs/1907.09347
Publikováno v:
In Journal of Computational and Applied Mathematics 15 May 2022 405
Publikováno v:
In Applied Mathematics and Computation 15 April 2022 419