Results 11 to 20 of about 2,171,485 (241)

On the Spectrum of a Discrete Non-Hermitian Quantum System

Symmetry, Integrability and Geometry: Methods and Applications, 2009
In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour.
Ebru Ergun
doaj   +2 more sources

Convolution operators and the discrete Laplacian [PDF]

, 2009
PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
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Discrete energy spectrum in discrete time dynamics

, 2007
Discrete energy spectrum in discrete time dynamics.
Khrennikov, Andrei,
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Magnetic Dirichlet Laplacian in curved waveguides [PDF]

Opuscula Mathematica
For a two-dimensional curved waveguide, it is well known that the spectrum of the Dirichlet Laplacian is unstable with respect to waveguide deformations. This means that if the waveguide is a straight strip then the spectrum of the Dirichlet Laplacian is
Diana Barseghyan, Swanhild Bernstein, Baruch Schneider, Martha Lina Zimmermann   +3 more
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Editorial Note: Impact of COVID-19 on Spectrum operations

, 2020
To support our authors, reviewers and editors during the COVID-19 pandemic, the Spectrum Editorial Board has relaxed its timelines for the publication of this most recent issue (Issue 5).  We are working with our authors on their Issue 5 submissions,
Editorial Board, Spectrum
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Discrete Tracy--Widom operators. [PDF]

, 2009
Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles.
McCafferty, Andrew, Blower, Gordon
core   +4 more sources

Spectral Properties of the Fractional Pauli Operator on a Bounded Domain [PDF]

Control and Optimization in Applied Mathematics
This paper introduces and analyzes, for the first time, the \emph{fractional Pauli operator}, a non-local generalization of the fundamental quantum mechanical operator describing spin-1/2 particles in magnetic fields.
Yusif Gasimov, Aynura Aliyeva
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Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory

Lietuvos Matematikos Rinkinys, 2021
Sturm-Liouville problem with nonlocal boundary conditions arises in many scientific fields such as chemistry, physics, or biology. There could be found some references to graph theory in a discrete Sturm-Liouville problem, especially in investigation of ...
Jonas Vitkauskas, Artūras Štikonas
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Mathematical theory of normal waves in an open metal-dielectric regular waveguide of arbitrary cross section

Mathematical Modelling and Analysis, 2020
The problem of normal waves in an open metal-dielectric regular waveguide of arbitrary cross-section is considered. This problem is reduced to the boundary eigenvalue problem for longitudinal components of electromagnetic field in Sobolev spaces. To find
Eugene Smolkin, Yury Smirnov
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Hyponormal differential operators with discrete spectrum [PDF]

Opuscula Mathematica, 2010
In this work, we first describe all the maximal hyponormal extensions of a minimal operator generated by a linear differential-operator expression of the first-order in the Hilbert space of vector-functions in a finite interval.
Zameddin I. Ismailov, Erdal Unluyol
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