Zobrazeno 1 - 10
of 82
pro vyhledávání: '"N. M. Bogoliubov"'
Autor:
N. M. Bogoliubov, C. L. Malyshev
Publikováno v:
Journal of Mathematical Sciences. 264:232-243
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::01c5cdd37ddc3ae9f2e0b096ac3dac11
https://doi.org/10.1007/s10958-022-05994-7
https://doi.org/10.1007/s10958-022-05994-7
Autor:
C. Malyshev, N. M. Bogoliubov
Publikováno v:
Journal of Mathematical Sciences. 257:469-475
Determinantal representation for the generating function of plane partitions with fixed volumes of diagonal parts is investigated in limiting cases.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73a84c0b54ddcc665665ed86b3945122
https://doi.org/10.1007/s10958-021-05495-z
https://doi.org/10.1007/s10958-021-05495-z
Autor:
N. M. Bogoliubov
Publikováno v:
Journal of Mathematical Sciences. 257:459-468
In the present paper, the enumeration of a certain class of directed lattice paths is based on the analysis of dynamical correlation functions of the exactly solvable XX0 model. This model is the zero anisotropy limit of one of the basic models of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::037f92487742af7319c140711831d703
https://doi.org/10.1007/s10958-021-05494-0
https://doi.org/10.1007/s10958-021-05494-0
Autor:
N. M. Bogoliubov
Publikováno v:
Physics of Particles and Nuclei. 51:429-433
The partition function of the exactly solvable four-vertex model on a square grid in the presence of a linearly growing external field is calculated. Namely, we study a system when the external field is applied to one of the columns of the grid. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bad541a86761792ea6607d18b60a3046
https://doi.org/10.1134/s1063779620040140
https://doi.org/10.1134/s1063779620040140
Autor:
N. M. Bogoliubov, C. Malyshev
Publikováno v:
Journal of Mathematical Sciences. 242:636-641
The exactly solvable four-vertex model on a square grid with the fixed boundary conditions in a presence of a special external field is considered. Namely, we study a system in a linear field acting on the central column of the grid. The partition fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbd0c9ea030025c619dd956a86b177ac
https://doi.org/10.1007/s10958-019-04502-8
https://doi.org/10.1007/s10958-019-04502-8
The partition function of the four-vertex model in inhomogeneous external field and trace statistics
Autor:
N M Bogoliubov, Cyril Malyshev
The exactly solvable four-vertex model with the fixed boundary conditions in the presence of inhomogeneous linearly growing external field is considered. The partition function of the model is calculated and represented in the determinantal form. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3380ff3f839557e074363edb0f715efd
Autor:
C. Malyshev, N. M. Bogoliubov
Publikováno v:
Journal of Mathematical Sciences. 216:8-22
We discuss the connection between quantum integrable models and some aspects of enumerative combinatorics and the theory of partitions. As a basic example, we consider the spin XXZ Heisenberg chain in the limiting cases of zero and infinite anisotrop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d323b9a09e27d10aa26aef701a55467
https://doi.org/10.1007/s10958-016-2884-0
https://doi.org/10.1007/s10958-016-2884-0
Autor:
N. M. Bogoliubov
Publikováno v:
Journal of Mathematical Sciences. 213:662-670
The bimodal Bose–Hubbard model is studied. The application of the Quantum Inverse Method allows us to calculate the time-dependent correlation functions of the model. Form-factors of the bosonic creation and annihilation operators in the wells are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3623603a180a2db0e23ceed9df21ad31
https://doi.org/10.1007/s10958-016-2730-4
https://doi.org/10.1007/s10958-016-2730-4
Autor:
N. M. Bogoliubov
Publikováno v:
Theoretical and Mathematical Physics. 181:1132-1144
We introduce a quantum phase model as a limit for very strong interactions of a strongly correlated q-boson hopping model. We describe the general solution of the phase model and express scalar products of state vectors in determinant form. The repre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::755a2d95d4e8e99f4164a537b9f4e45a
https://doi.org/10.1007/s11232-014-0204-8
https://doi.org/10.1007/s11232-014-0204-8
Autor:
N. M. Bogoliubov, C. Malyshev
Publikováno v:
Journal of Mathematical Sciences. 200:662-670
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7bfba6e736256d10a2f32e1a95fb6d3
https://doi.org/10.1007/s10958-014-1956-2
https://doi.org/10.1007/s10958-014-1956-2