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arXiv · 2507.16629

Some classes of finite-dimensional ladder operators

Fabio Bagarello·Antonino Faddetta·Francesco Oliveri
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Abstract

We introduce and study some special classes of ladder operators in finite-dimensional Hilbert spaces. In particular we consider a truncated version of quons, their {\em psudo-}version, and a third family of operators acting on a closed chain. In this latter situation, we discuss the existence of what could be considered {\em discrete coherent states}, as suitable eigenvectors of the annihilation operator of the chain. We see that, under reasonable assumptions, a resolution of the identity can be recovered, involving these states, together with a biorthogonal family of vectors, which turn out to be eigenstates of the raising operator of the chain.

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Fabio Bagarello, Antonino Faddetta, Francesco Oliveri. 2025-07-22. Some classes of finite-dimensional ladder operators. https://arxiv.org/abs/2507.16629

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