Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical mechanics and path integrals for a finite number of bosons   Recent investigations show that the statistical mechanics of a finite number
of particles in ideal harmonic systems predicts different results for the same
physical properties, depending on the ensemble under consideration. Path
integral methods for a finite number of bosons with equidistant energy levels
give the same answers for the mean energy, the specific heat and the
condensation temperature etc., irrespective whether their calculation results
from the density of states, from the partition function or from the generating
function.
  We show that this contradiction is due either to the use of approximate
relations between quantum statistical expressions, or to a misinterpretation of
the generating function.

35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph