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arXiv:2401.09357

One Dimensional Point Interactions and the Resolvent Algebra -- Simple Remarks

Moscato, Antonio

Published Jan 17, 2024• 0 citations
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Abstract

This paper shows that the resolvent algebra $\mathcal{R}\left( \mathbb{R}^2,σ\right)$ can accommodate dynamics induced by self-adjoint Hamiltonians on $L^2\left( \mathbb{R} \right)$ describing a single non-relativistic spinless particle undergoing one up to countably many different fixed point interactions located on the real line.

DOI
10.48550/arxiv.2401.09357

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This paper shows that the resolvent algebra R(R2,σ)\mathcal{R}\left( \mathbb{R}^2,σ\right)R(R2,σ) can accommodate dynamics induced by self-adjoint Hamiltonians on L2(R)L^2\left( \mathbb{R} \right)L2(R) describing a single non-relativistic spinless particle undergoing one up to countably many different fixed point interactions located on the real line.
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