New Method for Treating Systems Containing Elementary Composite Particles (Nonrelativistic Theory)

Abstract

Systems containing bound and free particles are described by simple Bose or Fermi fields, one representing bound particles and others representing free particles. The lack of proper symmetry for states corresponding to given numbers of bound and free particles is corrected by drawing a correspondence (partial isometry) between proper physical states and these. When transformed to the new basis, the Hamiltonian is found to contain non-particle-conserving terms and exchange terms.