Related papers: Some classes of finite-dimensional ladder operators

Some classes of finite-dimensional ladder operators

URL: http://arxiv.org/abs/2507.16629v1
Date: Tue, 22 Jul 2025 14:20:10 GMT
Title: Some classes of finite-dimensional ladder operators
Authors: Fabio Bagarello, Antonino Faddetta, Francesco Oliveri,
Abstract summary: We study some special classes of ladder operators in finite-dimensional Hilbert spaces.<n>We consider a truncated version of quons, their em psudo-version, and a third family of operators acting on a closed chain.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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