Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fibre bundle formulation of nonrelativistic quantum mechanics (full
  version)   We propose a new systematic fibre bundle formulation of nonrelativistic
quantum mechanics. The new form of the theory is equivalent to the usual one
and is in harmony with the modern trends in theoretical physics and potentially
admits new generalizations in different directions. In it the Hilbert space of
a quantum system (from conventional quantum mechanics) is replaced with an
appropriate Hilbert bundle of states and a pure state of the system is
described by a lifting of paths or section along paths in this bundle. The
evolution of a pure state is determined through the bundle (analogue of the)
Schr\"odinger equation. Now the dynamical variables and the density operator
are described via liftings of paths or morphisms along paths in suitable
bundles. The mentioned quantities are connected by a number of relations
derived in this work.

31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics