This work was supported by the Alexander von Humboldt Stiftung and the Max Planck Society, for which one of us (M.D.G.) is most grateful (and who would like to thank Professor O.E. Polanski, Director at the Max-Plank-Institut fur Strahlenchemie, for hospitality extended during the visits there); by the U.S. Office of Naval Research (for work carried out at the University of Oregon); and was done while the other (J.C.S.) was a guest scientist conducting research through the National Research Council —NASA Research Associateship Program.
Physical Review A
Hamiltonian systems, Isobaric spin, Coulomb functions, Orthogonalization methods, Charge transfer
The Fock-Tani Hamiltonian is found for systems containing two protons and one electron. It is shown that a post-prior symmetrical T-matrix element for a+ + (b+ c-)→(a+ c-)+b+ may be found from that of the simpler proton-proton-electron system if a and b are treated as isospin projections of a single type of nucleon. The Coulomb-exchange contribution to the inelastic (isospin flip) scattering of this system gives a first-order T matrix that is completely symmetrical with respect to post and prior interactions and orthogonalizations, a symmetry of the exact T matrix.
Straton, Jack C., and Marvin D. Girardeau. "Post-prior symmetrical first-order T matrix for charge transfer." Physical Review A 40.6 (1989): 2991. DOI: http://dx.doi.org/10.1103/PhysRevA.40.2991