On the structure of the $C^*$-algebra generated by the field operators and spectral analysis of the operators affiliated to it

DOI10.1016/j.jfa.2023.109867zbMath1517.46051arXiv1902.10026MaRDI QIDQ6314663

Andrei Iftimovici, Vladimir Georgescu

Publication date: 26 February 2019

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of selfadjoint operator algebras to physics (46L60) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05)