Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Bogoliubov, N. M."'
Autor:
Malyshev, C., Bogoliubov, N. M.
Publikováno v:
J.Phys.A: Math.Theor. 55 (2022) 225002 (37 pp) Journal of Physics A: Mathematical and Theoretical, Volume 55, Number 22 (2022) 225002
Relations between the mean values of distributions of flipped spins on periodic Heisenberg XX chain and some aspects of enumerative combinatorics are discussed. The Bethe vectors, which are the state-vectors of the model, are considered both as on- a
Externí odkaz:
http://arxiv.org/abs/2211.16240
Autor:
Malyshev, C., Bogoliubov, N. M.
The mean values of non-homogeneously parameterized generating exponential are obtained and investigated for the periodic Heisenberg XX model. The norm-trace generating function of boxed plane partitions with fixed volume of their diagonal parts is ob
Externí odkaz:
http://arxiv.org/abs/2011.05148
Autor:
Bogoliubov, N. M., Malyshev, C. L.
Publikováno v:
Journal of Mathematical Sciences; Oct2024, Vol. 284 Issue 5, p654-664, 11p
Autor:
Bogoliubov, N. M.1 (AUTHOR) bogoliub@pdmi.ras.ru, Malyshev, C. L.1 (AUTHOR) malyshev@pdmi.ras.ru
Publikováno v:
Journal of Mathematical Sciences. Sep2023, Vol. 275 Issue 3, p239-248. 10p.
Autor:
Bogoliubov, N. M., Malyshev, C.
Publikováno v:
J. Math. Sci., vol. 200, no. 6, (2014), 662-670
The representation of the Bethe wave functions of certain integrable models via the Schur functions allows to apply the well-developed theory of the symmetric functions to the calculation of the thermal correlation functions. The algebraic relations
Externí odkaz:
http://arxiv.org/abs/1402.0449
Autor:
Bogoliubov, N. M., Malyshev, C.
Publikováno v:
Nuclear Physics B 879 [FS] (2014) 268-291
The XX0 Heisenberg model on a cyclic chain is considered. The representation of the Bethe wave functions via the Schur functions allows to apply the well-developed theory of the symmetric functions to the calculation of the thermal correlation functi
Externí odkaz:
http://arxiv.org/abs/1401.7624
Autor:
Bogoliubov, N. M., Malyshev, C.
Publikováno v:
Theor. Math. Phys., Vol. 169, No. 2 (2011), 1517-1529
The spin-1/2 XXZ Heisenberg magnet is considered for the case of the anisotropy parameter tending to infinity (so-called, Ising limit). A thermal correlation function of the ferromagnetic string is calculated over the ground state. The approach to th
Externí odkaz:
http://arxiv.org/abs/1106.5455
The two dimensional directed sandpile with dissipation is transformed into a (1+1) dimensional problem with discrete space and continuous `time'. The master equation for the conditional probability that K grains preserve their initial order during an
Externí odkaz:
http://arxiv.org/abs/1102.5639
Autor:
Bogoliubov, N. M., Malyshev, C.
Publikováno v:
St.-Petersburg Mathematical Journal, Vol. 22, No. 3 (2011), 359-377
The XXZ Heisenberg chain is considered for two specific limits of the anisotropy parameter: $\Dl\to 0$ and $\Dl\to -\infty$. The corresponding wave functions are expressed by means of the symmetric Schur functions. Certain expectation values and ther
Externí odkaz:
http://arxiv.org/abs/0912.1138
Autor:
Bogoliubov, N. M., Malyshev, C.
Publikováno v:
Theor. Math. Phys., Vol. 159, No. 2 (2009), 563-574
A relationship of the random walks on one-dimensional periodic lattice and the correlation functions of the XX Heisenberg spin chain is investigated. The operator averages taken over the ferromagnetic state play a role of generating functions of the
Externí odkaz:
http://arxiv.org/abs/0903.3227