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We study the influence of boundary conditions on the finite-size correctionsof a one-dimensional (1D) quantum spin model by exact and perturbativetheoretic calculations. We obtain two new infinite sets of universal amplituderatios for the finite-size correction terms of the 1D quantum spin model of $N$sites with free and antiperiodic boundary conditions. The results for thelowest two orders are in perfect agreement with a perturbative conformal fieldtheory scenario proposed by Cardy [Nucl. Phys. B {\bf 270}, 186 (1986)].

Boundary conditions and amplitude ratios for finite-size corrections of a one-dimensional quantum spin model