Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equality of Inertial and Gravitational Masses for Quantum Particle   We investigate the interaction of the gravitational field with a quantum
particle. First, we give the proof of the equality of the inertial and the
gravitational mass for the nonrelativistic quantum particle, independently of
the equivalence principle. Second, we show that the macroscopic body cannot be
described by the many-particle Quantum Mechanics. As an important tool we
generalize the Bargmann's theory of ray representations and explain the
connection with the state vector reduction problem. The Penrose's hypothesis is
discussed, i.e. the hypothesis that the gravitational field may influence the
state vector reduction.

8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th