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Tytuł:
d and f Electrons in a qp-Quantized Cubical Field
Autorzy:
Kibler, M.
Sztucki, J.
Powiązania:
https://bibliotekanauki.pl/articles/1929778.pdf
Data publikacji:
1993-11
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.70.Ch
03.65.-w
02.20.-a
Opis:
A procedure for qp-quantizing a crystal-field potential V with an arbitrary symmetry G is developed. Such a procedure is applied to the case where V involves cubic components (G = 0) of the degrees 4 and 6. This case corresponds to d and f electrons in a qp-quantized cubical potential. It is shown that the qp-quantization of the considered cubical potential is equivalent to a symmetry breaking of type O → D$\text{}_{4}$. A general conjecture about this symmetry breaking phenomenon is given.
Źródło:
Acta Physica Polonica A; 1993, 84, 5; 857-866
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Rarefied Band in Spectrum of Two-Magnon States of Heisenberg Ferromagnet of Clock Dial Plate
Autorzy:
Lulek, T.
Wal, A.
Powiązania:
https://bibliotekanauki.pl/articles/1933552.pdf
Data publikacji:
1995-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.50.+q
75.30.Ds
02.20.-a
75.Jm
Opis:
The Heisenberg isotropic exchange Hamiltonian with the nearest neighbour interactions for the ring of N = 12 nodes (the clock dial plate) with the spin 1/2 has been diagonalized within the manifold of all 66 two-magnon excitations from the ferromagnetic ground state. The spectrum consists of 5 full bands, i.e. bands defined over the whole Brillouin zone, and a single band which is doubly rarefied, i.e. defined only for even values of quasimomentum. The rarefied band is found to be dispersionless outside the centre of the Brillouin zone. It separates two bands of "weakly bounded" spin waves from two other which are "weakly antibounded". The last remaining band is situated below this collection of scattered spin waves, and describes two tightly bounded spin deviations. The spectrum exhibits dispersion, but it is degenerate (singlet and quintet) at the boundary of the Brillouin zone.
Źródło:
Acta Physica Polonica A; 1995, 88, 2; 259-268
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Racah Recoupling Matrices for System of Two Free Electrons Confined To Single Star
Autorzy:
Lulek, T.
Kłos, J.
Powiązania:
https://bibliotekanauki.pl/articles/1945688.pdf
Data publikacji:
1996-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.20.-a
31.10.+z
75.10.Lp
75.20.-g
Opis:
Racah-Wigner type of calculus is adapted to the system of two free electrons in a cubic box, confined to a single star p00 of quasimomentum. Various coupling schemes (LS-like, jj-like, and transitive) have been reviewed in analogy to the case of a free atom. Racah recoupling matrices are calculated explicitly, and their quantum-mechanical meaning is exposed in terms of octahedral multipoles.
Źródło:
Acta Physica Polonica A; 1996, 90, 3; 483-490
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Local Gauge and Magnetic Translation Groups
Autorzy:
Florek, W.
Powiązania:
https://bibliotekanauki.pl/articles/1964708.pdf
Data publikacji:
1997-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
11.15.Ha
05.50.+q
71.45.-d
02.20.-a
Opis:
The magnetic translation group was introduced as a set of operators T(R)=exp[-iR·(p-eA/c)/h]. However, these operators commute with the Hamiltonian for an electron in a periodic potential and a uniform magnetic field if the vector potential A (the gauge) is chosen in a symmetric way. It is showed that a local gauge field A$\text{}_{R}$(r) on a crystal lattice leads to operators, which commute with the Hamiltonian for any (global) gauge field A = A(r). Such choice of the local gauge determines a factor system ω(R,R') = T(R)T(R')T(R+R')$\text{}^{-1}$, which depends on a global gauge only. Moreover, for any potential A a commutator T(R)T(R')T(R)$\text{}^{-1}$T(R')$\text{}^{-1}$ depends only on the magnetic field and not on the gauge.
Źródło:
Acta Physica Polonica A; 1997, 92, 2; 399-402
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simulation of Langmuir-Blodgett Film Surface Stm Images
Autorzy:
Agabekov, V. E.
Zhavnerko, G. K.
Bar, G.
Cantow, H.-J.
Powiązania:
https://bibliotekanauki.pl/articles/1968763.pdf
Data publikacji:
1998-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
68.55.-a
71.20.Rv
02.60.Cb
Opis:
The simulation of the STM image of a hydrocarbon tail of a fatty acid was carried out and compared to the experimental results. The simulation procedure includes calculations of the distribution of an isolated molecule electronic density by the extended Huckel-Hoffmann method. An agreement between the calculated and experimental STM images of closely packed Langmuir-Blodgett film of cobalt behenate on the graphite surface was observed. The weak interactions between the graphite surface and the adsorbed molecules constituting bi- and multilayer Langmuir-Blodgett films can be neglected in simulations of STM images.
Źródło:
Acta Physica Polonica A; 1998, 93, 2; 383-386
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Irreducible Basis for Permutation Representations
Autorzy:
Florek, W.
Powiązania:
https://bibliotekanauki.pl/articles/2011151.pdf
Data publikacji:
1999-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.20.-a
03.65.Bz
Opis:
For a given finite group G its permutation representation P, i.e. an action on an n-element set, is considered. Introducing a vector space L as a set of formal linear combinations of | j 〉, 1 ≤ j ≤ n, the representation P is linearized. In general, the representation obtained is reducible, so it is decomposed into irreducible components. Decomposition of L into invariant subspaces is determined by a unitary transformation leading from the basis { | j 〉} to a new, symmetry adapted or irreducible, basis { |Γrγ〉}. This problem is quite generally solved by means of the so-called Sakata matrix. Some possible physical applications are indicated.
Źródło:
Acta Physica Polonica A; 1999, 96, 6; 699-712
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Equations of Motion for a Charged Particle in n-Dimensional Magnetic Field
Autorzy:
Florek, W.
Thomas, M.
Powiązania:
https://bibliotekanauki.pl/articles/2013738.pdf
Data publikacji:
2000-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.20.-a
03.65.Bz
Opis:
The equation of motion for a charged particle moving in the n-dimensional constant magnetic field is obtained for any linear gauge and any metric tensor by generalization of Johnson and Lipmann's approach. It allows to consider the magnetic orbits in the n-dimensional space. It is shown that the movement of a particle can always be decomposed into a number of two-dimensional cyclotronic motions and a free particle part.
Źródło:
Acta Physica Polonica A; 2000, 97, 5; 935-938
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Magnetic Translations for a Spatially Periodic Magnetic Field
Autorzy:
Florek, W.
Powiązania:
https://bibliotekanauki.pl/articles/2013243.pdf
Data publikacji:
2000-04
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.20.-a
73.40.Hm
71.70.Di
71.10.-w
Opis:
It is shown that in the case of a free electron in a spatially periodic magnetic field the concept of magnetic translations operators is still valid and, moreover, these operators can be defined in the same way as for a Bloch electron in a uniform magnetic field. The results can be a useful tool in the investigation of recently observed phenomena in 2D electron gas with spatially modulated density.
Źródło:
Acta Physica Polonica A; 2000, 97, 4; 619-628
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of Algebraic Combinatorics to Finite Spin Systems
Autorzy:
Florek, W.
Powiązania:
https://bibliotekanauki.pl/articles/2027429.pdf
Data publikacji:
2001-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.20.Bb
75.10.Jm
75.75.+a
Opis:
A finite spin system invariant under a symmetry group G is a very illustrative example of a finite group action on mappings f: X → Y (X is a set of spin carriers, Y contains spin projections for a given spin number s). Orbits and stabilizers are used as additional indices of the symmetry adapted basis. Their mathematical nature does not decrease a dimension of a given eigenproblem, but they label states in a systematic way. It allows construction of general formulas for vectors of symmetry adapted basis and matrix elements of operators commuting with the action of G in the space of states. The special role is played by double cosets, since they label nonequivalent (from the symmetry point of view) matrix elements ãx|H|yã for an operator H between Ising configurations |x〉,|y〉. Considerations presented in this paper should be followed by a detailed discussion of different symmetry groups (e.g.) cyclic or dihedral ones) and optimal implementation of algorithms. The paradigmatic example, i.e. a finite spin system, can be useful in investigations of magnetic macromolecules like Fe_6 or Mn$\text{}_{12}$ acetate.
Źródło:
Acta Physica Polonica A; 2001, 100, 1; 3-22
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of Algebraic Combinatorics to Finite Spin Systems with Dihedral Symmetry
Autorzy:
Bucikiewicz, S.
Dębski, L.
Florek, W.
Powiązania:
https://bibliotekanauki.pl/articles/2028876.pdf
Data publikacji:
2001-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.20.Bb
75.10.Jm
75.75.+a
Opis:
Properties of a given symmetry group G are very important in investigation of a physical system invariant under its action. In the case of finite spin systems (magnetic rings as Fe$\text{}_{6}$, Cu$\text{}_{6}$, Fe$\text{}_{10}$, some planar macromolecules as Fe$\text{}_{12}$ or Fe$\text{}_{8}$) the symmetry group is isomorphic with the dihedral group D$\text{}_{N}$. In this paper group-theoretical "parameters" of such groups are determined, especially decompositions of transitive representations into irreducible ones and double cosets. These results are necessary to construct matrix elements of any operator commuting with G in an efficient way. The approach proposed can be useful in many branches of physics, but here it is applied to finite spin systems, which serve as models for mesoscopic magnets.
Źródło:
Acta Physica Polonica A; 2001, 100, 4; 453-475
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Two-Dimensional Electron Gas in a Periodic Potential and External Magnetic Field: States of Pairs and Three-Particle Systems
Autorzy:
Florek, W.
Powiązania:
https://bibliotekanauki.pl/articles/2027374.pdf
Data publikacji:
2001-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
73.20.Dx
71.70.Di
02.20.-a
Opis:
The group-theoretical classification of states of identical particle pairs is presented. Then obtained states are coupled with those of an antiparticle to construct states of a three-particle system. Investigations are performed using products of irreducible projective representations of the 2D translation group. For a given Born-von Kármán period N degeneracy of pair states is N, whereas three-particle states are N$\text{}^{2}$-fold degenerated. It has to be underlined that the case of even N is more complicated since pair states are labelled by four inequivalent irreducible projective representations. The problem of symmetry properties with respect to particles transposition is briefly discussed.
Źródło:
Acta Physica Polonica A; 2001, 99, 5; 601-610
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Toy Model for Large Non-Symmetric Random Matrices
Autorzy:
Snarska, M.
Powiązania:
https://bibliotekanauki.pl/articles/1812225.pdf
Data publikacji:
2008-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.05.Sk
02.70.Hm
89.65.Gh
02.50.-r
89.20.-a
Opis:
Non-symmetric rectangular correlation matrices occur in many problems in economics. We test the method of extracting statistically meaningful correlations between input and output variables of large dimensionality and build a toy model for artificially included correlations in large random time series.The results are then applied to analysis of polish macroeconomic data and can be used as an alternative to classical cointegration approach.
Źródło:
Acta Physica Polonica A; 2008, 114, 3; 555-559
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determination of 3-Dimentional Interrogation Zone in Anti-collision RFID Systems with Inductive Coupling by Using Monte Carlo Method
Autorzy:
Jankowski-Mihułowicz, P.
Węglarski, M.
Powiązania:
https://bibliotekanauki.pl/articles/1431765.pdf
Data publikacji:
2012-04
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.70.Uu
41.20.Gz
84.90.+a
Opis:
The operation of passive anti-collision RFID system is characterized by the interrogation zone which is estimated in any direction of 3D space for a group of electronic transponders. The elements of algorithm for determining the 3D interrogation zone in an inductively coupled anti-collision RFID system have been presented in this paper. The energy conditions have been analyzed in detail. The algorithm based on the Monte Carlo method and the computer program implemented in MathCAD engineering calculation software has been utilized in order to achieve the posed aims
Źródło:
Acta Physica Polonica A; 2012, 121, 4; 936-940
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Short Comprehensive Report on the Non-Brownian Stochastic Dynamics at Financial and Commodity Markets
Autorzy:
Ciepliński, T.
Dominiczak, A.
Kutner, R.
Powiązania:
https://bibliotekanauki.pl/articles/1408963.pdf
Data publikacji:
2012-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
89.20.-a
89.65.Gh
02.50.Ey
02.50.Ga
05.40.Fb
Opis:
In this work we empirically verify the generic breaking of the Central Limit Theorem on the financial and commodity markets. We analysed the distributions of log-returns for typical indices and price of gold, for increasing time horizons. We considered Random Coarse Graining Transformation of the Continuous-Time Random Walk model, which can represent the non-Gaussian price dynamics of underlying assets and the corresponding derivatives, e.g., various options or future contracts. We confirmed that empirical data and predictions of the model quite well agree.
Źródło:
Acta Physica Polonica A; 2012, 121, 2B; B-24-B-27
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
From Colorings to Weavings
Autorzy:
Miro, E.
Garciano, A.
Zambrano, A.
Powiązania:
https://bibliotekanauki.pl/articles/1203364.pdf
Data publikacji:
2014-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.20.-a
61.50.Ah
89.75.Kd
Opis:
We present a methodology for constructing weavings from 2-colorings of the plane. In particular, we consider tilings T of the plane by triangles and their corresponding triangle groups G. We derive 2-colorings of T using the index 2 subgroups of G.
Źródło:
Acta Physica Polonica A; 2014, 126, 2; 560-563
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 24

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