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arXiv · 2401.09357

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

Antonio Moscato
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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.

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Antonio Moscato. 2024-01-19. One Dimensional Point Interactions and the Resolvent Algebra -- Simple Remarks. https://arxiv.org/abs/2401.09357

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