Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Geodesic Nature of Wegner's Flow   Wegner's method of flow equations offers a useful tool for diagonalizing a
given Hamiltonian and is widely used in various branches of quantum physics.
Here, generalizing this method, a condition is derived, under which the
corresponding flow of a quantum state becomes geodesic in a submanifold of the
projective Hilbert space, independently of specific initial conditions. This
implies the geometric optimality of the present method as an algorithm of
generating stationary states. The result is illustrated by analyzing some
physical examples.

30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an