Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euler-Schrodinger Transformation   Here we present a transformation that maps the Schrodinger equation of
quantum mechanics to the incompressible Euler equations of fluid mechanics. The
transformation provides a wave solution and a potential function based on fluid
properties that satisfy the Schrodinger equation given that the fluid velocity
potential and pressure satisfy the Euler equations. Interestingly, in our
transformation, the equivalent of quantum potential becomes the physical
surface tension. This is contrary to the Madelung transformation that maps the
Schrodinger equation to the compressible Euler equations where there is no
physical counterpart for the quantum potential. Lastly, we show that using this
transformation, the Bohm equation can be mapped to a particle's equation of
motion moving on the free surface of the fluid.

14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an