22 citations · 143 across the 25 of their papers we have counts for
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How to Draw a Correlation Function
Nikolay Bogoliubov, Cyril Malyshev
We discuss connection between the XX0 Heisenberg spin chain and some aspects of enumerative combinatorics. The representation of the Bethe wave functions via the Schur functions al…
Correlation Functions as Nests of Self-Avoiding Paths
Nikolay M. Bogoliubov, Cyril Malyshev
We discuss connection between the XXZ Heisenberg spin chain in the limiting case of zero anisotropy and some aspects of enumerative combinatorics. The representation of the Bethe w…
Combinatorial Interpretation of the Scalar Products of State Vectors of Integrable Models
N. M. Bogoliubov, C. Malyshev
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 calc…
Correlation Functions of XX0 Heisenberg Chain, q-Binomial Determinants, and Random Walks
N. M. Bogoliubov, C. Malyshev
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 sy…
The Functional Integration and the Two-Point Correlation Functions of the Trapped Bose Gas
C. Malyshev, N. M. Bogoliubov
A quantum field-theoretical model, which describes spatially non-homogeneous repulsive Bose gas in an external harmonic potential is considered. Two-point thermal correlation funct…
Functional Integration with "Automorphic" Boundary Conditions and Correlators of Z-Components of Spins in the XY and XX Heisenberg Chains
C. Malyshev
Representations for the generating functionals of static correlators of -components of spins in the XY and Heisenberg spin chains are obtained in the form of sums of the fe…