Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonharmonic oscillations of nanosized cantilevers due to quantum-size
  effects   Using a one-dimensional jellium model and standard beam theory we calculate
the spring constant of a vibrating nanowire cantilever. By using the asymptotic
energy eigenvalues of the standing electron waves over the nanometer-sized
cross-section area, the change in the grand canonical potential is calculated
and hence the force and the spring constant. As the wire is bent more electron
states fits in its cross section. This has an impact on the spring"constant"
which oscillates slightly with the bending of the wire. In this way we obtain
an amplitude-dependent resonance frequency of the oscillations that should be
detectable.

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org