PreprintarXiv licencearXiv
Eigenstates on O∗-algebras with an application to ladder operators
Abstract
Following some recent results, we consider here a particular class of states on a O∗-algebra M which we call {\em eigenstates of an element} A∈M, and we deduce some of their properties. Then, we apply our definition to a family of ladder elements, i.e. elements of M obeying certain algebraic (commutation) relations which are physically motivated, and we discuss several results for these states
Related
- Rigid dualizing complex for quantum enveloping algebras and algebras of generalized differential operators
- Extremal Rota-Baxter operators on matrix algebras
- Restricted (Relative) Rota-Baxter operators on restricted Lie algebras and restricted Lie triple systems and related structures
- Ranks of operators and pureness of C*-algebras
- Isometries on algebras of locally measurable operators
BibTeX
@misc{bagarello2026eigenstates,
title = {{Eigenstates on $O^\ast$-algebras with an application to ladder operators}},
author = {Fabio Bagarello and Hiroshi Inoue and Salvatore Triolo},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04550},
eprint = {2611.04550},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04550},
}
RIS
TY - UNPB
TI - Eigenstates on O^∗-algebras with an application to ladder operators
AU - Fabio Bagarello
AU - Hiroshi Inoue
AU - Salvatore Triolo
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04550
UR - https://arxiv.org/abs/2611.04550
AB - Following some recent results, we consider here a particular class of states on a O^∗-algebra M which we call {\em eigenstates of an element} A∈M, and we deduce some of their properties. Then, we apply our definition to a family of ladder elements, i.e. elements of M obeying certain algebraic (commutation) relations which are physically motivated, and we discuss several results for these states
ER -