Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anyon trajectories and the systematics of the three-anyon spectrum   We develop the concept of trajectories in anyon spectra, i.e., the continuous
dependence of energy levels on the kinetic angular momentum. It provides a more
economical and unified description, since each trajectory contains an infinite
number of points corresponding to the same statistics. For a system of
non-interacting anyons in a harmonic potential, each trajectory consists of two
infinite straight line segments, in general connected by a nonlinear piece. We
give the systematics of the three-anyon trajectories. The trajectories in
general cross each other at the bosonic/fermionic points. We use the
(semi-empirical) rule that all such crossings are true crossings, i.e.\ the
order of the trajectories with respect to energy is opposite to the left and to
the right of a crossing.

24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th