Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Archimedean Mathematics and the formalism of Quantum Mechanics   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 {\Lambda}-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.

23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics