  We present the first model independent determination of S- and P-wave
helicity amplitudes from CERN measurements of pi(-)p -> pi(-)pi(+)n on
polarized target at small t and dipion masses 580-1080 MeV. The purely
analytical determination of the helicity amplitudes is made possible by our
finding analytical solution for relative phase omega_ij between S-wave
amplitudes S_d and S_u of opposite transversity for each set of solutions for
transversity amplitudes A_u(i), A_d(j),i,j=1,2. Of the six possible solutions
for omega_ij only the solution with omega_ij=pi yields physical helicity
amplitudes. Assigning rho^0(770) phase to the dominant P-wave helicity flip
amplitude L_1(ij) necessitates a phase of the S-wave helicity flip amplitude
S_1(ij) that is near to the rho^0(770) phase.These two amplitudes are
consistent with rho^0(770)-f_0(980) mixing. The relative phases omega_ij=pi
satisfy certain selfconsistency relation that must be satisfied in order for
the four sets of solutions A_u(i),A_d(j),i,j=1,2 to be all physical solutions
that can be identified with coevolution amplitudes describing the interaction
of the pion creation process with a quantum environment. This test on phases
omega_ij provides a new test of Kraus representation of the mixed final state
density matrix. We show that the probabilities p_ij determining the final state
rho_f in terms of solution states rho_f(ij) can be determined in measurements
of recoil hyperon polarization in pi(-)p->pi(-)K(+)Lambda0 on polarized target.
