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

Abstract

Quantum systems composed of $N$ distinct particles in ${\mathbb{R}}^2$ 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.

arXiv comment39 pages, published in AHPO

References in corpus (11)

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• Highly polarized Fermi gases in two dimensions
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Cited by in corpus (5)

• Three-Body Hamiltonian with Regularized Zero-Range Interactions in Dimension Three
• Regularized Zero-Range Hamiltonian for a Bose Gas with an Impurity
• On the Weakness of Short-Range Interactions in Fermi Gases
• Two dimensional delta Bose gas in a weighted space
• Hamiltonians for Quantum Systems with Contact Interactions