Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cosmological fluid dynamics in the Schr\"odinger formalism   We investigate the dynamics of a cosmological dark matter fluid in the
Schr\"odinger formulation, seeking to evaluate the approach as a potential tool
for theorists. We find simple wave-mechanical solutions of the equations for
the cosmological homogeneous background evolution of the dark matter field, and
use them to obtain a piecewise analytic solution for the evolution of a
compensated spherical overdensity. We analyse this solution from a `quantum
mechanical' viewpoint, and establish the correct boundary conditions satisfied
by the wavefunction. Using techniques from multi-particle quantum mechanics, we
establish the equations governing the evolution of multiple fluids and then
solve them numerically in such a system. Our results establish the viability of
the Schr\"odinger formulation as a genuine alternative to standard methods in
certain contexts, and a novel way to model multiple fluids.

17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph