Temat: 03.65.Nk - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The Relativistic Transmission and Reflection Coefficients for Woods-Saxon Potential
Autorzy:: Yazarloo, B.
Mehraban, H.
Powiązania:: https://bibliotekanauki.pl/articles/1398910.pdf
Data publikacji:: 2016-06
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 03.65.Nk
03.65.Ge
03.65.Pm
Opis:: The relativistic problem of spin-1/2 particles subject to the Woods-Saxon potential is investigated by using the functional analysis method. We obtain scattering and bound state solutions of the one-dimensional Dirac equation with the Woods-Saxon potential in terms of the Jacobi polynomials. We also calculated the transmission and reflection coefficients by using behavior of the wave functions at infinity.
Źródło:: Acta Physica Polonica A; 2016, 129, 6; 1089-1092
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Asymptotics of Resonances Induced by Point Interactions
Autorzy:: Lipovský, J.
Lotoreichik, V.
Powiązania:: https://bibliotekanauki.pl/articles/1030012.pdf
Data publikacji:: 2017-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 03.65.Ge
03.65.Nk
02.10.Ox
Opis:: We consider the resonances of the self-adjoint three-dimensional Schrödinger operator with point interactions of constant strength supported on the set X={xₙ}_{n=1}^{N}. The size of X is defined by V_{X} = max_{π ∈ Π_{N}} ∑_{n=1}^{N} |xₙ - x_{π(n)}|, where Π_{N} is the family of all the permutations of the set {1,2,...,N}. We prove that the number of resonances counted with multiplicities and lying inside the disc of radius R behaves asymptotically linear W_{X}/πR + O(1) as R → ∞, where the constant W_{X} ∈ [0,V_{X}] can be seen as the effective size of X. Moreover, we show that there exist a configuration of any number of points such that W_{X}=V_{X}. Finally, we construct an example for N=4 with W_{X} < V_{X}, which can be viewed as an analogue of a quantum graph with non-Weyl asymptotics of resonances.
Źródło:: Acta Physica Polonica A; 2017, 132, 6; 1677-1682
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Pseudo-Orbit Expansion for the Resonance Condition on Quantum Graphs and the Resonance Asymptotics
Autorzy:: Lipovský, J.
Powiązania:: https://bibliotekanauki.pl/articles/1189973.pdf
Data publikacji:: 2015-12
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 03.65.Ge
03.65.Nk
02.10.Ox
Opis:: In this note we explain the method how to find the resonance condition on quantum graphs, which is called pseudo-orbit expansion. In three examples with standard coupling we show in detail how to obtain the resonance condition. We focus on non-Weyl graphs, i.e. the graphs which have fewer resonances than expected. For these graphs we explain benefits of the method of "deleting edges" for simplifying the graph.
Źródło:: Acta Physica Polonica A; 2015, 128, 6; 968-973
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

Artykuł

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