Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Planck-Einstein-de Broglie type relations for the acoustic waves   In this paper we prove, by expressing the energy as a function of the wave
propagation speed, it is highlighted the existence of an equivalent mass of the
wave, as well as of an Einstein type relations between the energy and this
mass. Also, we establish a relation between angular frequency and energy
similar to that of the Planck relation. For the propagating wave, there is a de
Broglie type relationship between the linear momentum and the action variable
(the angular momentum), i.e. the wave linear momentum is proportional to the
wave number, the proportionality coefficient being the action.

35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas