Hamiltonians defined as quadratic forms

We present a complete mathematical theory of two-body quantum mechanics for a class of potentials which is larger than the usualL ²-classes and which includes potentials with singularities as bad asr ^–2+. The basic idea is to defineH _o +V as a sum of quadratic forms rather than as an operator sum.Based on a thesis submitted to Princeton University in partial fulfillment of the degree of Doctor of Philosophy.