Eigenstates of CQ*-algebras

2025/10/12 by Bagarello, Fabio, Inoue, Hiroshi, Trapani, Camillo +1
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2510.10662

Abstract

Motivated by some recent results, we consider the notion of eigenstate (and eigenvalue) for an element X of a CQ*-algebras and the consequences on algebraic quantum dynamics and on its related derivations are investigated.

Citations

• Sesquilinear forms as eigenvectors in quasi *-algebras, with an application to ladder elements
• About the notion of eigenstates for C^*-algebras and some application in Quantum Mechanics
• Representable and continuous functionals on Banach quasi *-algebras

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