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201.
202.
The Hamiltonian of the magnetic superlattice with three-layer unit cell was treated within the Boson formalism. The Boson Green’s functions (BGFs) were derived and it was shown that the system for BGFs splits into two sets which lead to the energies with opposite signs, although the energies of elementary excitations are strictly only the positive ones. However, when corresponding energies are used, the correlation functions calculated from both sets are the same. All the physically relevant quantities: total energy of the system, ground state energy, layer magnetization and zero-point (quantum) fluctuations are derived analytically by using both sets, showing that they lead to the same expressions. The Hamiltonian was also diagonalized by the so-called “u-v” transformation of the operators. It is shown that in spite of formal independence of the approaches, there exists a close relationship between BGF and “u-v” transformations. 相似文献
203.
204.
Dan Hefetz Michael Krivelevich Miloš Stojaković Tibor Szabó 《Graphs and Combinatorics》2009,25(4):533-544
In numerous positional games the identity of the winner is easily determined. In this case one of the more interesting questions
is not who wins but rather how fast can one win. These types of problems were studied earlier for Maker-Breaker games; here we initiate their study for unbiased
Avoider-Enforcer games played on the edge set of the complete graph K
n
on n vertices. For several games that are known to be an Enforcer’s win, we estimate quite precisely the minimum number of moves
Enforcer has to play in order to win. We consider the non-planarity game, the connectivity game and the non-bipartite game. 相似文献
205.
Tomáš Bárta 《Journal of Dynamics and Differential Equations》2017,29(4):1553-1568
A well known result states that the ?ojasiewicz gradient inequality implies some estimates of the rate of convergence to equilibrium for solutions of gradient systems. We generalize this result to gradient-like systems satisfying certain angle condition and Kurdyka–?ojasiewicz inequality and to even more general situation. We apply the results to a broad class of second order equations with damping. 相似文献
206.
207.
Tomáš Roubíček Martin Kružík 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2004,55(1):159-182
The proposed model combines tendency for minimization of
Gibbs magnetic energy with the rate-independent
maximum-dissipation mechanism that reflects the macroscopical
quantity of energy required to change one pole of a magnet to
another. The microstructure is described on a mesoscopical
level in terms of Young measures. Such mesoscopical,
distributed-parameter model is formulated (and, after a suitable
regularization), analyzed, discretized, implemented, and
eventually tested computationally on a uni-axial magnet. The
desired hysteresis macroscopical response is demonstrated
together with the influence of material properties. 相似文献
208.
Lukáš Pichl 《Czechoslovak Journal of Physics》2005,55(2):167-171
An accurate calculation of the lowest negative electronic state of H
2
-
(fixed nuclei) is reported using the CCSD(T) method and doubly augmented cc-pv5z basis set. Comparison has been made with the reference data by Senekowitsch et al. [Chem. Phys. Lett. 111 (1984) 211]. Owing to larger size of the basisset and inclusion of triple excitations, no vertical shift in this work is necessary to reproduce the asymptotics of H + H -. In addition, the effect of basis-set truncation is estimated, based on the complete-basis-set extrapolation method. The contribution of correlated electron-proton motion to the electron-energy curve for H2
– dynamics is pointed out.Dedicated to Prof. Jií Horáek on the occasion of his 60th birthday. 相似文献
209.
210.