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Wyświetlanie 1-15 z 21
Tytuł:
A Study of Vibrational Spectra of Fullerene $C_{70}$ and~$C_{80}$: An Algebraic Approach
Autorzy:
Sen, R.
Kalyan, A.
Subhra Paul, R.
Sarkar, N.
Bhattacharjee, R.
Powiązania:
https://bibliotekanauki.pl/articles/1493408.pdf
Data publikacji:
2011-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Fd
07.57.-c
02.20.Sv
78.30.Na
Opis:
Using the Lie algebraic method, the stretching vibrational energies of fullerenes $C_{70}$ and $C_{80}$ are calculated in the one-dimensional U(2) framework. By constructing the model Hamiltonian with the help of Casimir and Majorana invariant operators in this frame work, we calculated the local mode vibrational energy levels of the fullerenes $C_{70}$ and $C_{80}$.
Źródło:
Acta Physica Polonica A; 2011, 120, 3; 407-411
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Survey on the Classical Limit of Quantum Dynamical Entropies
Autorzy:
Cappellini, V.
Powiązania:
https://bibliotekanauki.pl/articles/2047820.pdf
Data publikacji:
2007-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.45.-a
05.45.Mt
05.45.Ac
03.65.Fd
Opis:
We analyze the behavior of quantum dynamical entropies production from sequences of quantum approximants approaching their (chaotic) classical limit. The model of the quantized hyperbolic automorphisms of the 2-torus is examined in detail and a semi-classical analysis is performed on it using coherent states, fulfilling an appropriate dynamical localization property. Correspondence between quantum dynamical entropies and the Kolmogorov-Sinai invariant is found only over timescales that are logarithmic in the quantization parameter.
Źródło:
Acta Physica Polonica A; 2007, 112, 4; 589-605
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of Contractor Renormalization Group to the Heisenberg Zig-Zag and the Hubbard Chain
Autorzy:
Cichy, K.
Tomczak, P.
Powiązania:
https://bibliotekanauki.pl/articles/2047340.pdf
Data publikacji:
2007-05
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
05.10.Cc
03.65.Fd
75.10.Jm
71.10.Fd
Opis:
The contractor renormalization group method was devised in 1994 by Morningstar and Weinstein. It was primarily aimed at extracting the physics of lattice quantum field theories (like lattice quantum chromodynamics). However, it is a general method of analyzing Hamiltonian lattice systems, e.g. Ising, Heisenberg or Hubbard models. The aim of this work is to show the application of contractor renormalization group method to one-dimensional quantum systems - the Heisenberg zig-zag model and the Hubbard chain. As a test of the method, the ground state energy of these systems will be calculated.
Źródło:
Acta Physica Polonica A; 2007, 111, 5; 773-780
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bound States of Fermions on 2d Lattice in a Dilute Limit
Autorzy:
Bąk, M.
Micnas, R.
Powiązania:
https://bibliotekanauki.pl/articles/2012890.pdf
Data publikacji:
2000-01
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
74.20.-z
03.65.Ge
71.10.Fd
Opis:
We examine extended bound states in a dilute limit of the extended Hubbard model on the two-dimensional square lattice. By solving exactly the two-body problem we have determined the binding energies, mobilities, and dispersion curves across the Brillouin zone for bound states of various symmetries. It turns out that the d-wave pairing is strongly favored by the nnn hopping and the intersite local pairs can have small effective masses, even in the case of strong binding.We have also found a possibility of extended s-$d_{x^{2}-y^{2}}$ mixing of the bound states.
Źródło:
Acta Physica Polonica A; 2000, 97, 1; 209-212
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Complete Analytical Solutions of the Mie-Type Potentials in N-Dimensions
Autorzy:
Agboola, D.
Powiązania:
https://bibliotekanauki.pl/articles/1493372.pdf
Data publikacji:
2011-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.-w
03.65.Fd
03.65.Ge
Opis:
The exact solutions of the N-dimensional Schrödinger equation with the Mie-type potentials are obtained. The energy levels are worked out and the corresponding wave functions are obtained in terms of the Laguerre polynomial. Some energy levels of some diatomic molecules are given using the modified Kratzer-type potential. The expectation values 〈$r^{-1}$〉 and 〈$r^{-2}$〉 and the virial theorem are also obtained in N-dimensions using the Hellmann-Feynman theorem. The ladder operators are also constructed for the Mie-type potentials in N-dimensions and the matrix elements of some operators r and r·d/dr are analytically obtained from the ladder operators. The general results reduce to the 3-dimensional case when N = 3.
Źródło:
Acta Physica Polonica A; 2011, 120, 3; 371-377
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Double Reflection of Electron Spin in Semiconductors
Autorzy:
Dargys, A.
Powiązania:
https://bibliotekanauki.pl/articles/1505522.pdf
Data publikacji:
2011-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
85.75.-d
72.25.Dc
71.70.Ej
03.65.Fd
Opis:
Reflection of spin-polarized electron from a potential barrier in bulk semiconductor in the presence of spin-orbit interaction is considered. The spin-orbit interaction brings about double electron reflection at oblique incidence of electronic beam onto the barrier. The competition between the Rashba and Dresselhaus spin-orbit mechanisms during double reflection is discussed. The problem was solved within the Clifford algebra framework, which allows one to describe the spin in a real Euclidean $ℰ_3$ space rather than in an abstract Hilbert space.
Źródło:
Acta Physica Polonica A; 2011, 119, 2; 161-163
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Solution of Klein-Gordon with the Pöschl-Teller Double-Ring-Shaped Coulomb Potential
Autorzy:
Hassanabadi, H.
Ikot, A.
Zarrinkamar, S.
Powiązania:
https://bibliotekanauki.pl/articles/1204862.pdf
Data publikacji:
2014-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Fd
03.65.Pm
03.65.Ca
03.65.Ge
Opis:
Analytical solution of the Klein-Gordon equation under the equal scalar and vector Pöschl-Teller double-ring-shaped Coulomb potentials is obtained. We have used the Nikiforov-Uvarov method in our calculations. The radial wave function in terms of the Laguerre polynomials is presented and the angular wave functions are expressed in terms of the Jacobi polynomials. We have also considered some special cases of the Pöschl-Teller double-ring-shaped Coulomb potential and represented the energy eigenvalues and the corresponding wave functions.
Źródło:
Acta Physica Polonica A; 2014, 126, 3; 647-651
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Magnetic Pentagonal Ring - Galois Extensions and Crystallography
Autorzy:
Labuz, M.
Lulek, T.
Powiązania:
https://bibliotekanauki.pl/articles/1033704.pdf
Data publikacji:
2017-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
75.10.Jm
03.65.Fd
03.67.Lx
02.10.Ud
02.10.De
Opis:
The Galois symmetry of exact Bethe Ansatz eigenstates for magnetic pentagonal ring is shown to bear a close analogy to some crystallographic constructions. Automorphisms of number field extensions associated with these eigenstates prove to be related to choices of the Bravais cells in the finite crystal lattice ℤ₂×ℤ₂, responsible for extension of the cyclotomic field by the Bethe parameters.
Źródło:
Acta Physica Polonica A; 2017, 132, 1; 97-99
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonclassical Properties of Para-Bose Superposition States
Autorzy:
Yu, Y.
Wang, D.
Powiązania:
https://bibliotekanauki.pl/articles/1808074.pdf
Data publikacji:
2009-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
42.50.Dv
03.65.Fd
Opis:
We investigate the nonclassical properties of para-Bose superposition states which involve the vacuum and one- or two-photon state of paraboson. It is found that these para-Bose superposition states exhibit stronger squeezing and antibunching. The amplitude-squared squeezing for these states is also examined.
Źródło:
Acta Physica Polonica A; 2009, 115, 3; 613-616
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the q-Analogue of a Black Body Radiation
Autorzy:
Babinec, P.
Powiązania:
https://bibliotekanauki.pl/articles/1924272.pdf
Data publikacji:
1992-12
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
42.50.Md
03.65.Fd
11.30.Na
Opis:
A statistical distribution function and spectral energy density are derived for the q-analogue of a black body radiation. These functions are different from the usual ones for q ≠ 1 and they have singularities. The reason for these singularities is also discussed.
Źródło:
Acta Physica Polonica A; 1992, 82, 6; 957-960
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Paths vs. Winding Numbers for the Two-Magnon Sector of the XXX Heisenberg Magnet
Autorzy:
Labuz, M.
Powiązania:
https://bibliotekanauki.pl/articles/1402569.pdf
Data publikacji:
2015-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.10.Ox
03.65.Fd
75.10.Jm
Opis:
Bethe Ansatz is the famous method of determination of eigenstates and eigenenergies for a wide range of quantum problems, e.g. for the Heisenberg XXX s=1/2 model. The Bethe equations applied to solve the problem of N nodes and r overturned spins on a magnetic chain are labeled by sets of winding numbers ${n_i}$, however the condition for admissible sets give an overcomplete number of results. On the other hand, combinatorial objects, so called "paths", give the exact number of eigenvectors for the problem described by (N,r) values. The paper presents the method of determining the set of winding numbers from the appropriate path for the sector of r=2 spin deviations.
Źródło:
Acta Physica Polonica A; 2015, 128, 2; 190-192
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Point Group Interpretation of Galois Symmetry of Bethe Ansatz Solutions of Magnetic Pentagonal Ring
Autorzy:
Lulek, B.
Lulek, T.
Łabuz, M.
Milewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/1385546.pdf
Data publikacji:
2015-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
75.10.Jm
03.65.Fd
03.67.Lx
02.10.Ud
02.10.De
Opis:
Exact solutions of the eigenproblem of the magnetic pentagonal ring exhibit the arithmetic symmetry expressed in terms of a Galois group of a finite extension of the prime field Q of rationals. We propose here a geometric interpretation of this symmetry in the interior of the Brillouin zone, in terms of point groups. Explicitly, it is a subgroup of the direct product C₄ × D₄. We present also the appropriate irreducible representations of the group.
Źródło:
Acta Physica Polonica A; 2015, 127, 2; 336-338
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Product of Projective Representations in Description of Multi-Electron States in An External Magnetic Field
Autorzy:
Florek, W.
Powiązania:
https://bibliotekanauki.pl/articles/2008300.pdf
Data publikacji:
1999-06
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
03.65.Fd
02.10.Sp
71.70.Di
Opis:
In this paper all inequivalent irreducible projective representations of the two-dimensional translation group for a given factor system are determined. A normalized, i.e. corresponding to the Landau gauge, factor system is considered. Obtained representations directly lead to concept of magnetic cells and to periodicity with respect to the charge of a moving particle. It is also shown that the quantization condition is imposed on the product qH of the charge q and the magnitude of magnetic field H. The Kronecker product of such representations is considered and it is proven that the multiplication of representations corresponds to the addition of charges of particles moving in a given external magnetic field. In general, coupling of d representations corresponds to d-particle states. Presented results can be applied in any problem related to two-dimensional electron gas in a magnetic field, for example in the fractional quantum Hall effect or high temperature superconductivity.
Źródło:
Acta Physica Polonica A; 1999, 95, 6; 871-880
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Resonant Two-Electron Pairs in a Simple Cubic Lattice
Autorzy:
Bak, M.
Powiązania:
https://bibliotekanauki.pl/articles/1374452.pdf
Data publikacji:
2014-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
71.10.Fd
31.15.xh
71.10.Li
71.55.-i
03.65.Ge
02.30.Zz
Opis:
The properties of resonant two-electron pairs are examined in three-dimensional simple cubic extended Hubbard tUW model, in s- and d- symmetry channels, in the limit of empty lattice. Lattice Green function technique is applied to calculate the scattering amplitude by means of matrix for any energy in the band on ΓR line within the Brillouin zone. The analysis shows the persistence of resonant states even for Coulomb interactions so weak that the equation for the resonant states is not formally fulfilled. The difference in behavior of resonances controlled by on-site and intersite Coulomb interactions is found. The ranges of applicability of approximate formula for the actual position of resonant peak and its width are shown.
Źródło:
Acta Physica Polonica A; 2014, 126, 4a; A-63-A-69
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
S-Wave Bound- and Resonant States of Two Fermions in Simple Cubic Lattice
Autorzy:
Bak, M.
Powiązania:
https://bibliotekanauki.pl/articles/1431271.pdf
Data publikacji:
2012-04
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.30.Gp
03.65.Ge
31.15.ac
71.10.Fd
Opis:
Resonant two-electron states are examined in attractive Hubbard model on simple cubic lattice and exact formula for scattering cross section in the limit of low density (empty lattice) is calculated. S-wave pair is considered by means of lattice Green functions (LGF). Analytical form of these functions found by Joyce is used facilitating calculations, which were greatly hindered before by the necessity of using LGF's tabulated values. It is found that the actual peak of scattering cross-section is formed on the lower band boundary in discrepancy with formulae of the theory of scattering in solids.
Źródło:
Acta Physica Polonica A; 2012, 121, 4; 808-811
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 21

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