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From Short-Range to Contact Interactions in Two-dimensional Many-Body Quantum Systems

Published 11 Mar 2021 in math-ph, math.MP, nucl-th, and quant-ph | (2103.06834v2)

Abstract: Quantum systems composed of $N$ distinct particles in $\R2$ with two-body contact interactions of TMS type are shown to arise as limits - in the norm resolvent sense - of Schr\"odinger operators with suitably rescaled pair potentials.

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