About the notion of eigenstates for $C^*$-algebras and some application in Quantum Mechanics

Autor:	De Nittis, Giuseppe, Polo, Danilo
Rok vydání:	2023
Předmět:	Mathematical Physics Condensed Matter - Soft Condensed Matter Mathematics - Operator Algebras Primary: 46L30 Secondary: 47L80 47L90 82B10
Druh dokumentu:	Working Paper
Popis:	This work is concerned with the notion of {eigenstates} for $C^*$-algebras. After reviewing some basic and structural results, we explore the possibility of reinterpreting certain typical concepts of quantum mechanics (\eg dynamical equilibrium states, ground states, gapped states, Fermi surfaces) in terms of (algebraic) eigenstates. Comment: 35 pages. Keywords: Eigenstates, ground states, gapped states, Fermi surfaces
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.02685 Zobrazit plný text záznamu View this record from Arxiv