Zobrazeno 1 - 10
of 70
pro vyhledávání: '"A. G. Izergin"'
Publikováno v:
Journal of Mathematical Sciences. 115:2002-2008
The XX0 chain in the external magnetic field directed along the z axis is discussed. The Hamiltonian describing the exchange interaction between two and four neighboring sites of the chain is constructed. An integral representation for the equal-time
Publikováno v:
Physical Review Letters. 86:4439-4442
An effective boson Hamiltonian applicable to atomic beam splitters, coupled Bose-Einstein condensates, and optical lattices can be made exactly solvable by including all $n$-body interactions. The model can include an arbitrary number of boson compon
Publikováno v:
Journal of Mathematical Sciences. 104:1087-1096
Temperature and time dependent correlation functions of the spin―-1/2 ladder model with infinitely strong coupling are calculated. Bibliography: 34 titles.
Publikováno v:
International Journal of Modern Physics B. 12:2409-2433
We consider the one-dimensional delta-interacting electron gas in the case of infinite repulsion. We use determinant representations to study the long time, large distance asymptotics of correlation functions of local fields in the gas phase. We deri
Publikováno v:
Scopus-Elsevier
The correlation functions for a strongly correlated exactly solvable one-dimensional boson system on a finite chain as well as in the thermodynamic limit are calculated explicitly. This system which we call the phase model is the strong coupling limi
Publikováno v:
Journal of Mathematical Sciences. 88:224-232
New determinant representations are obtained for the simplest correlation functions of the Heisenberg XY spin chain. Bibliography: 8 titles.
Publikováno v:
Scopus-Elsevier
We introduce the phase model on a lattice and solve it using the algebraic Bethe ansatz. Time-dependent temperature correlation functions of phase operators and the "darkness formation probability" are calculated in the thermodynamical limit. These r
Publikováno v:
Journal of Physics A: Mathematical and General. 30:361-370
The spectral shape of one-dimensional systems (describing for instance the behaviour of Frenkel excitons) is approached through the exactly solvable model of the XXO Heisenberg quantum spin chain in a transverse magnetic field. Some results for finit
Publikováno v:
Journal of Mathematical Sciences. 80:1747-1759
It is shown that the two-point time-dependent temperature correlators of the XXO Heisenberg spin chain satisfy a system of classical equations in the distance between correlating spins and time. This system is an integrable lattice version of the non
Publikováno v:
Theoretical and Mathematical Physics. 94:11-38
Space and time dependent correlation functions in the Heisenberg XX0 chain (in the transverse magnetic field) are expressed in terms of Fredholm determinants of linear integral operators. This is done in order to evaluate asymptotics of these correla