Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The quantum Arnold transformation   By a quantum version of the Arnold transformation of classical mechanics, all
quantum dynamical systems whose classical equations of motion are
non-homogeneous linear second-order ordinary differential equations, including
systems with friction linear in velocity, can be related to the quantum
free-particle dynamical system. This transformation provides a basic
(Heisenberg-Weyl) algebra of quantum operators, along with well-defined
Hermitian operators which can be chosen as evolution-like observables and
complete the entire Schr\"odinger algebra. It also proves to be very helpful in
performing certain computations quickly, to obtain, for example, wave functions
and closed analytic expressions for time-evolution operators.

28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess