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Wyświetlanie 1-15 z 27
Tytuł:
Approximations by Graphs and Emergence of Global Structures
Autorzy:
Exner, P.
Hejčík, P.
Šeba, P.
Powiązania:
https://bibliotekanauki.pl/articles/2044581.pdf
Data publikacji:
2006-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
Opis:
We study approximations of billiard systems by lattice graphs. It is demonstrated that under natural assumptions the graph wave functions approximate solutions of the Schrödinger equation with energy rescaled by the billiard dimension. As an example, we analyze a Sinai billiard with attached leads. The results illustrate emergence of global structures in large quantum graphs and offer interesting comparisons with patterns observed in complex networks of a different nature.
Źródło:
Acta Physica Polonica A; 2006, 109, 1; 23-31
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relativistic Scattering States of the Hellmann Potential
Autorzy:
Yazarloo, B.
Mehraban, H.
Hassanabadi, H.
Powiązania:
https://bibliotekanauki.pl/articles/1398666.pdf
Data publikacji:
2015-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
03.65.Pm
Opis:
In this letter, the scattering state solutions of the Dirac equation for spin and pseudospin symmetries are obtained for the Hellmann potential. The normalized wave functions and scattering phase shifts are calculated for both spin and pseudospin symmetries. Scattering properties for Coulomb-like and Yukawa-like potentials are also studied as limiting cases.
Źródło:
Acta Physica Polonica A; 2015, 127, 3; 684-688
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Semi-Relativistic Scattering States of the Hulthén and Hyperbolic-Type Potentials
Autorzy:
Hassanabadi, H.
Yazarloo, B.
Hassanabadi, S.
Zarrinkamar, S.
Powiązania:
https://bibliotekanauki.pl/articles/1399494.pdf
Data publikacji:
2013-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Pm
03.65.Nk
Opis:
In this paper, the scattering states of the spinless-Salpeter equation are investigated for Hulthén and hyperbolic-type potentials for any arbitrary l-state. Approximate analytical formulae of the wave functions and the scattering phase shifts are reported.
Źródło:
Acta Physica Polonica A; 2013, 124, 1; 20-22
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
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
Tytuł:
Experimental and Numerical Studies of One-Dimensional and Three-Dimensional Chaotic Open Systems
Autorzy:
Ławniczak, M.
Hul, O.
Bauch, Sz.
Sirko, L.
Powiązania:
https://bibliotekanauki.pl/articles/1585119.pdf
Data publikacji:
2009-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Mt
03.65.Nk
Opis:
We present the results of experimental studies of microwave irregular networks and a three-dimensional microwave rough cavity in the presence of absorption. Microwave networks are also analyzed numerically. Microwave networks simulate one-dimensional quantum graphs. The networks consist of coaxial cables connected by joints and attenuators to control absorption. Three-dimensional microwave rough cavities have no formal analog in quantum 3D systems. However, some statistical properties of their spectra such as the level spacing distribution confirms that they belong to the wave-chaotic systems. Absorption of the cavity was changed by using a foam microwave absorber.
Źródło:
Acta Physica Polonica A; 2009, 116, 5; 749-755
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Persistent Currents and Bethe Ansatz
Autorzy:
Kiršanskas, G.
Matulis, A.
Powiązania:
https://bibliotekanauki.pl/articles/1505510.pdf
Data publikacji:
2011-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.40.Gk
03.65.Nk
Opis:
The system of two electrons interacting with a single impurity in 1D metallic ring is considered illustrating the applicability of the Bethe Ansatz.
Źródło:
Acta Physica Polonica A; 2011, 119, 2; 158-160
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental Investigation of Reflection Coefficient and Wigners Reaction Matrix for Microwave Graphs
Autorzy:
Hul, O.
Bauch, S.
Ławniczak, M.
Sirko, L.
Powiązania:
https://bibliotekanauki.pl/articles/2047825.pdf
Data publikacji:
2007-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Mt
03.65.Nk
Opis:
We present the results of experimental study of the distribution P(R) of the reflection coefficient R and the distributions of Wigner's reaction K matrix for irregular, tetrahedral microwave graphs (networks) in the presence of absorption. Our experimental results are in good agreement with the exact theoretical predictions of Savin et al.
Źródło:
Acta Physica Polonica A; 2007, 112, 4; 655-664
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Scattering Properties of Chaotic Microwave Billiards
Autorzy:
Stöckmann, H.
Powiązania:
https://bibliotekanauki.pl/articles/1585125.pdf
Data publikacji:
2009-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
05.45.Mt
Opis:
Reflection and transmission measurements in microwave billiards with attached antennas allow the determination of all components of the scattering matrix including their phases. This is an extraordinary situation, since in usual scattering experiments in nuclear or atomic physics only reduced information such as the scattering cross-section can be obtained where the phase information is completely lost. This allows experimental tests of theoretical predictions of scattering theory inaccessible by any other method. As an example the distribution of reflection coefficients and of the line widths in a chaotic microwave billiard are discussed.
Źródło:
Acta Physica Polonica A; 2009, 116, 5; 783-789
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical and Experimental Studies of the Elastic Enhancement Factor for 2D Open Systems
Autorzy:
Ławniczak, M.
Białous, M.
Yunko, V.
Bauch, S.
Sirko, L.
Powiązania:
https://bibliotekanauki.pl/articles/1400561.pdf
Data publikacji:
2015-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Mt
03.65.Nk
Opis:
We present the results of numerical and experimental studies of the elastic enhancement factor W for microwave rough and rectangular cavities simulating two-dimensional chaotic and partially chaotic quantum billiards in the presence of moderate absorption. We show that for the frequency range ν=15.0-18.5 GHz, in which the coupling between antennas and the system is strong enough, the values of W for the microwave rough cavity lie below the predictions of random matrix theory and on average above the theoretical results of V. Sokolov and O. Zhirov, Phys. Rev. E 91, 052917 (2015). We also show that for the partially chaotic rectangular billiard the enhancement factor W calculated by applying the Potter-Rosenzweig model with κ=2.8±0.5 is close to the experimental one.
Źródło:
Acta Physica Polonica A; 2015, 128, 6; 974-978
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Isoscattering Microwave Networks - The Role of the Boundary Conditions
Autorzy:
Ławniczak, M.
Bauch, S.
Sawicki, A.
Kuś, M.
Sirko, L.
Powiązania:
https://bibliotekanauki.pl/articles/1399050.pdf
Data publikacji:
2013-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
05.45.Ac
Opis:
The recent paper by Hul et al. (Phys. Rev. Lett. 109, 040402 (2012)}, see Ref. [7]) addresses an important mathematical problem whether scattering properties of wave systems are uniquely connected to their shapes? The analysis of the isoscattering microwave networks presented in this paper indicates a negative answer to this question. In this paper the sensitivity of the spectral properties of the networks to boundary conditions is tested. We show that the choice of the proper boundary conditions is extremely important in the construction of the isoscattering networks.
Źródło:
Acta Physica Polonica A; 2013, 124, 6; 1078-1081
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental Determination of the Autocorrelation Function of Level Velocities for Microwave Networks Simulating Quantum Graphs
Autorzy:
Ławniczak, M.
Borkowska, A.
Hul, O.
Bauch, S.
Sirko, L.
Powiązania:
https://bibliotekanauki.pl/articles/1492514.pdf
Data publikacji:
2011-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Mt
03.65.Nk
Opis:
The autocorrelation function c(x) of level velocities is studied experimentally. The measurements were performed for microwave networks simulating quantum graphs. One and two ports measurements of the scattering matrix Ŝ necessary for determining c(x) were realized for the networks possessing 5 and 6 vertices, respectively. The network with six vertices was fully connected. In the case of the networks with five vertices, additionally to the fully connected configuration, we measured the networks without the bond connecting input/output vertices. The obtained experimental results besides the autocorrelation function of level velocities, also the nearest-neighbor spacing distribution and parametric velocities distribution are compared to the predictions of random matrix theory and numerical results.
Źródło:
Acta Physica Polonica A; 2011, 120, 6A; A-185-A-190
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
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
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
Tytuł:
The Wavefunctions and Energy Eigenvalues of the Schrodinger Equation for Different Potentials Due to the Virial Theorem
Autorzy:
Arslan, H.
Hulaguhanoglu, N.
Powiązania:
https://bibliotekanauki.pl/articles/1194111.pdf
Data publikacji:
2015-04
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Nk
03.65.Sq
03.65.-w
83.10.Ff
Opis:
The derivation of the virial theorem is presented both in classical and quantum mechanical approach. The kinetic energy and potential energy of the mechanical energy is converted to each other due to the virial theorem. Some of the different potentials are considered. For some of these potentials, the wavefunctions and energy eigenvalues of the Schrödinger Equation are derived.
Źródło:
Acta Physica Polonica A; 2015, 127, 4; 914-916
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chaotic Scattering: Exact Results and Microwave Experiments
Autorzy:
Guhr, T.
Powiązania:
https://bibliotekanauki.pl/articles/1190089.pdf
Data publikacji:
2015-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.Mt
03.65.Nk
24.60.Dr
Opis:
Scattering experiments are indispensable for the study of classical and quantum systems. In the Heidelberg approach, universal features are addressed by assuming that the reaction zone is fully quantum chaotic. Although it stems from nuclear physics, it later on turned out to be applicable to a large variety of systems on different scales, including classical wave systems. For a long time, the distribution of the off-diagonal scattering-matrix elements resisted analytical treatment. I review two recent studies in which my collaborators and I fully solved this problem. We also carried out a comparison with data from microwave experiments.
Źródło:
Acta Physica Polonica A; 2015, 128, 6; 963-967
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 27

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