Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: p-Adic and Adelic Quantum Mechanics   p-Adic mathematical physics emerged as a result of efforts to find a
non-Archimedean approach to the spacetime and string dynamics at the Planck
scale. One of its main achievements is a successful formulation and development
of p-adic and adelic quantum mechanics, which have complex-valued wave
functions of p-adic and adelic arguments, respectively. Various aspects of
these quantum mechanics are reviewed here. In particular, the corresponding
Feynman's path integrals, some minisuperspace cosmological models, and relevant
approache to string theory, are presented. As a result of adelic approach,
p-adic effects exhibit a spacetime and some other discreteness, which depend on
the adelic quantum state of the physical system under consideration. Besides
review, this article contains also some new results.

9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin