  Using some modification of the standard fermion technique we derive
factorized formula for spin operator matrix elements (form-factors) between
general eigenstates of the Hamiltonian of quantum Ising chain in a transverse
field of finite length. The derivation is based on the approach recently used
to derive factorized formula for Z_N-spin operator matrix elements between
ground eigenstates of the Hamiltonian of the Z_N-symmetric superintegrable
chiral Potts quantum chain. The obtained factorized formulas for the matrix
elements of Ising chain coincide with the corresponding expressions obtained by
the Separation of Variables Method.
