Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Dynamics of Optimization Problems   In this letter, by establishing the Schr\"odinger equation of the
optimization problem, the optimization problem is transformed into a
constrained state quantum problem with the objective function as the potential
energy. The mathematical relationship between the objective function and the
wave function is established, and the quantum interpretation of the
optimization problem is realized. Under the black box model, the Schr\"odinger
equation of the optimization problem is used to establish the kinetic equation,
i.e., the Fokker-Planck equation of the time evolution of the optimization
algorithm, and the basic iterative structure of the optimization algorithm is
given according to the interpretation of the Fokker-Planck equation. The
establishment of the Fokker-Planck equation allows optimization algorithms to
be studied using dynamic methods and is expected to become an important
theoretical basis for algorithm dynamics.

6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga