Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete Density of States   By considering the quantum-mechanically minimum allowable energy interval, we
exactly count number of states (NOS) and introduce discrete density of states
(DOS) concept for a particle in a box for various dimensions. Expressions for
bounded and unbounded continua are analytically recovered from discrete ones.
Even though substantial fluctuations prevail in discrete DOS, they're almost
completely flatten out after summation or integration operation. It's seen that
relative errors of analytical expressions of bounded/unbounded continua rapidly
decrease for high NOS values (weak confinement or high energy conditions),
while the proposed analytical expressions based on Weyl's conjecture always
preserve their lower error characteristic.

36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin