We study the magnetic properties of a frustrated Heisenberg spin chain
with a dynamic spin-phonon interaction. Using Lanczos diagonalization
that preserves the full lattice dynamics, we explore the nonadiabatic
regime with phonon frequencies comparable to the exchange coupling en
ergy, which is, for example, the relevant limit for the spin-Peierls c
ompound CuGeO3. Compared to the static limit of an alternating spin ch
ain, the magnetic properties are strongly renormalized due to the coup
led dynamics of spin and lattice degrees of freedom. The dependence of
the magnitude of the spin-triplet excitation gap changes from a stron
g to a weak dimerization with increasing phonon frequencies implying t
he necessity to include dynamic effects in a quantitative description
of the spin-Peierls state in CuGeO3. [S0031-9007(98)07570-X].