Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Quantum Mechanics and Nonlinear Gauge Transformations   Motivated by the problems of interpretation of a nonlinear evolution equation
in quantum mechanics we discuss in this contribution the concept of nonlinear
gauge transformations, that has recently been introduced in joint work with
Doebner and Goldin, in the framework of Mielnik's Generalized Quantum
Mechanics. Using these gauge transformations we construct linear quantum
systems in a ``nonlinear disguise'', and a gauge generalization of these (in
analogy to the minimal coupling of orthodox quantum mechanics) leads to a
unification of Bialynicki-Birula--Mycielski and Doebner--Goldin evolution
equations for the quantum system. The notion of nonlinear observables
introduced by L\"ucke is finally discussed in the same framework.

22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg