Connexions and Effective S-matrix in Triangle Representation for Quantum Scattering
For quantum few-body systems, a method of spectral representation generated by specially extracted sub-Hamiltonians is developed. In this approach, the connections between the geometry of a base manifold, the spectral structure of sub-Hamiltonians, and the geometric characteristics of induced Hilbert bundles are investigated. The appropriate relations between connections on these Hilbert bundles a