On the quantum mechanical three-body problem with zero-range interactions
Mathematical Physics
2016-02-01 v1 Quantum Gases
math.MP
Abstract
In this note we discuss the quantum mechanical three-body problem with pairwise zero-range interactions in dimension three. We review the state of the art concerning the construction of the corresponding Hamiltonian as a self-adjoint operator in the bosonic and in the fermionic case. Exploiting a quadratic form method, we also prove self-adjointness and boundedness from below in the case of three identical bosons when the Hilbert space is suitably restricted, i.e., excluding the "s-wave" subspace.
Cite
@article{arxiv.1601.08129,
title = {On the quantum mechanical three-body problem with zero-range interactions},
author = {Giulia Basti and Alessandro Teta},
journal= {arXiv preprint arXiv:1601.08129},
year = {2016}
}