Volume 39_2_(2018)_205-216

Regularized Quadratic Forms for a Three Boson System with Zero-Range Interactions.
Giulia Basti, Rodolfo Figari, Alessandro Teta

Abstract. We present two possible strategies to obtain a lower bounded Hamiltonian for three bosons interacting through zero-range interactions. First, we investigate a family of zero-range Hamiltonians defined in a Hilbert space of tensorial wave functions. Then, we examine the regularizing effect of an ultraviolet cutoff on the boundary conditions satisfied by functions in the form domain of zero-range Hamiltonians of a three boson system.

Rend. Mat. Appl. (7) 39 (2018) 205-216;  pdf