Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dissipation and quantization   We show that the dissipation term in the Hamiltonian for a couple of
classical damped-amplified oscillators manifests itself as a geometric phase
and is actually responsible for the appearance of the zero point energy in the
quantum spectrum of the 1D linear harmonic oscillator. We also discuss the
thermodynamical features of the system. Our work has been inspired by 't Hooft
proposal according to which information loss in certain classical systems may
lead to ``an apparent quantization of the orbits which resembles the quantum
structure seen in the real world".

18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th