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

, and . Annales Henri Poincaré, 23 (8): 2769--2818 (Aug 1, 2022)
DOI: 10.1007/s00023-021-01149-7

Abstract

Quantum systems composed of N distinct particles in \$\$\backslashmathbb \R\^2\$\$with 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.

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