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    Wyświetlanie 1-7 z 7
    Tytuł:
    Geometric properties of quantum graphs and vertex scattering matrices
    Autorzy:
    Kurasov, P.
    Nowaczyk, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/255512.pdf
    Data publikacji:
    2010
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    scattering theory
    quantum graphs
    matching (boundary) conditions
    Opis:
    Differential operators on metric graphs are investigated. It is proven that vertex matching (boundary) conditions can be successfully parameterized by the vertex scattering matrix. Two new families of matching conditions are investigated: hyperplanar Neumann and hyperplanar Dirichlet conditions. Using trace formula it is shown that the spectrum of the Laplace operator determines certain geometric properties of the underlying graph.
    Źródło:
    Opuscula Mathematica; 2010, 30, 3; 295-309
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The J-matrix method: numerical computations
    Autorzy:
    Syty, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1954523.pdf
    Data publikacji:
    1999
    Wydawca:
    Politechnika Gdańska
    Tematy:
    atomic physics
    scattering theory
    J-matrix method
    numerical computations
    Opis:
    Numerical calculations of scattering phase shifts have been done using J-matrix method (both non-relativistic and relativistic versions). Results of computations for some simple potentials are described and discussed in this paper. In particularly, it has been shown, that successive numerical approximations converge to results obtained using an analytical formula.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 1999, 3, 3; 269-276
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On a property of weak resolvents and its application to a spectral problem
    Autorzy:
    Uetake, Yoichi
    Powiązania:
    https://bibliotekanauki.pl/articles/1294816.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    weak resolvent
    cyclic vector
    spectral radius
    Hardy class
    operator model theory
    scattering theory
    control theory
    Opis:
    We show that the poles of a resolvent coincide with the poles of its weak resolvent up to their orders, for operators on Hilbert space which have some cyclic properties. Using this, we show that a theorem similar to the Mlak theorem holds under milder conditions, if a given operator and its adjoint have cyclic vectors.
    Źródło:
    Annales Polonici Mathematici; 1997, 66, 1; 263-268
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximation of eigenvalues for a class of differential problems on an infinite interval
    Autorzy:
    Regińska, Teresa
    Powiązania:
    https://bibliotekanauki.pl/articles/748517.pdf
    Data publikacji:
    1978
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Spectral theory, Sturm-Liouville, and scattering theory
    eigenfunctions, eigenvalues, and expansions
    Eigenvalue problems
    Teoria spektralna, funkcje własne, wartości własne
    Opis:
    The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL={u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).
    The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL={u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).The review of the paper is available at MR0518666.
    Źródło:
    Mathematica Applicanda; 1978, 6, 13
    1730-2668
    2299-4009
    Pojawia się w:
    Mathematica Applicanda
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems
    Autorzy:
    Weiss, G.
    Staffans, O. J.
    Tucsnak, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908320.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system liniowy
    układ zachowawczy
    równanie różniczkowe
    well-posed linear systems
    regular linear system
    operator semigroup
    consevative system
    scattering theory
    time-flow-inversion
    differential equations in Hilbert space
    beam equation
    Opis:
    We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 7-33
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Electron-argon scattering: a high angle minimum in differential cross sections
    Autorzy:
    Konopińska, V.
    Telega, S.
    Sienkiewicz, J. E.
    Powiązania:
    https://bibliotekanauki.pl/articles/1964089.pdf
    Data publikacji:
    2001
    Wydawca:
    Politechnika Gdańska
    Tematy:
    scattering
    atomic physics
    relativistic theory
    electron-Ar scattering
    Opis:
    Ab initio relativistic calculations of the high angle differential cross section minimum have been presented. Theoretical method is based on the Dirac-Hartree-Fock scattering equation. Ab initio polarization and exact exchange have been included. Calculations have been performed for the low energy elastic electron scattering from argon. A very good agreement with the recent experimental data has been found.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2001, 5, 1; 13-16
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Calculation methods of interaction of electromagnetic waves with objects of complex geometries
    Autorzy:
    Shopa, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1938589.pdf
    Data publikacji:
    2016
    Wydawca:
    Politechnika Gdańska
    Tematy:
    light scattering
    Mie theory
    Direct dipole approximation
    finite difference time domain method
    T-matrix
    Opis:
    Modeling of the electromagnetic interaction with different homogeneous or inhomogeneous objects is a fundamental and important problem. It is relatively easy to solve Maxwell equations analytically when the scattering object is spherical or cylindrical, for example. However, when it loses these properties all that is left for us is to use approximation models, to acquire the solution we need. Modeling of complex, non-spherical, asymmetric particles is used to study cosmic, cometary dust, aerosols, atmospheric pollution etc. Few analytical, surface-based and volume-based methods of light scattering modeling, most commonly used by scientists, are reviewed here.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2016, 20, 2; 231-240
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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