2018/09/11 by Vieri Benci, Benci, Vieri
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical and Theoretical Analysis #Quantum Mechanics and Applications #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.1809.04446
openalex publication_date 2018/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is divided in four parts. In the introduction, we discuss the program and the motivations of this paper. In section 2, we introduce the non-Archimedean field of Euclidean numbers E and we present a summary of the theory of Λ-limits which can be considered as a different approach to nonstandard methods. In the third part (section 3), we define axiomatically the space of ultrafunctions which are a kind of generalized function based on the field of Euclidean numbers E. Finally, we describe an application of the previus theory to the formalism of classical Quantum Mecanics.