Geodesic

Questions of quantum field theory and statistical physics. Part 25

Sommaire

On parametrization of symplectic quotient of Cartesian product of coadjoint orbits of complex general linear group with respect to its diagonal action
p. 7-16
Necessary conditions of point equivalence of second-order ODEs to the sixth Painlev\'e equation
p. 17-33
$Q$-operator for the quantum NLS model
p. 34-65
The ground state-vector of the $XY$ Heisenberg chain and the Gauss decomposition
p. 66-76
The partition function of the four-vertex model in a special external field
p. 77-84
Scalar products for the regular analytic vectors of the Laplace operator in the solenoidal subspace
p. 85-98
On differential operators for Chebyshev polynomials of several variables
p. 99-109
Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator
p. 110-146
On the application of matrix formalism of heat kernel to the number theory
p. 147-160
On the completeness of projectors for tensor product decomposition of continuous series representations groups $SL (2,\mathbb{R})$
p. 161-173
Conformal limit for dimer models on the hexagonal lattice
p. 174-193
Asymptotics of integrals of some functions related to the degenerate third Painlev\'e equation
p. 194-204
Two-phase periodic solutions to the AKNS hierarchy equations
p. 205-227
Off-shell Bethe states and the six-vertex model
p. 228-243