  We investigate the inversion phenomena between the XXZ anisotropies of the
Hamiltonian and the wave function in quantum spin chains. We focus on the S=1/2
geometrically frustrated 3-leg ladder system with the XXZ interaction
anisotropy. By use of the degenerate perturbation theory from the strong rung
coupling limit, we have obtained the ground-state phase diagram. In some
parameter regions, the Tomonaga-Luttinger spin liquid state is realized in
spite of the Ising-like anisotropy, and the Neel state in spite of the XY-like
anisotropy.
