i. Let J = (0, i), H = L2(J), ~ s [0, 2); n > 0 is an integer.In the space H n = L=(J) n, we consider the differential operator with matrix coefficients2. The distribution of the eigenvalues (e.va.) of the operator P under Dirichlet-type boundary conditions have been investigated in [i].In [i] one has assumed that the e.va. of the matrix A(t) (t e 7) vary on the fixed rays Let p1(t), ..., pv(t) denote a complete collection of positive e.va. of the matrix A(t), indexed in nondecreasing order; let N(~) =card{i: I~:I~
We calculate exactly matrix elements between non-equilibrium excitations of the quantum XY model for general anisotropy. These matrix elements are expressed as a sum of Pfaffians. For single particle excitations on the ground state, the Pfaffians in the sum simplify to determinants.
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