А method of solviпg of f our particles proЫem iп quaпtum mechaпics

In an approach to the study of many-particle systems based on the application of the formalism of second quantization and using the interaction representation, we obtain a system of equations for the amplitudes of the scattering of channels of four particles of finite mass in the case where the Hamiltonian of the system is assumed to include both pairwise and many-particle interaction potentials. We write in explicit form the corresponding integral equations for the channel amp litudes, which in this approach have a clear physical meaning and are directly connected with the channel Hamiltonians of the system.