Quantum systems composed of N distinct particles in R2with two-body contact interactions of TMS type are shown to arise as limits-in the norm resolvent sense-of Schrödinger operators with suitably rescaled pair potentials.
For a system of N bosons in one space dimension with two-body δ-interactions the Hamiltonian can be defined in terms of the usual closed semi-bounded quadratic form. We approximate this Hamiltonian in norm resolvent sense by Schrödinger operators with rescaled two-body potentials, and we estimate the rate of this convergence.
