08 Fakultät Mathematik und Physik

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Open Access
From short-range to contact interactions in two-dimensional many-body quantum systems
(2022) Griesemer, Marcel; Hofacker, Michael
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.
Open Access
From short-range to contact interactions in the 1d Bose gas
(2020) Griesemer, Marcel; Hofacker, Michael; Linden, Ulrich
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.
Open Access
From short-range to contact interactions in many-body quantum systems
(2022) Hofacker, Michael; Griesemer, Marcel (Prof. Dr.)
Open Access
On the weakness of short-range interactions in Fermi gases
(2022) Griesemer, Marcel; Hofacker, Michael
Ultracold quantum gases of equal-spin fermions with short-range interactions are often considered free even in the presence of strongly binding spin-up-spin-down pairs. We describe a large class of many-particle Schrödinger operators with short-range pair interactions, where this approximation can be justified rigorously.