Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Applications in physics of the multiplicative anomaly formula involving
  some basic differential operators   In the framework leading to the multiplicative anomaly formula ---which is
here proven to be valid even in cases of known spectrum but non-compact
manifold (very important in Physics)--- zeta-function regularisation techniques
are shown to be extremely efficient. Dirac like operators and harmonic
oscillators are investigated in detail, in any number of space dimensions. They
yield a non-zero anomaly which, on the other hand, can always be expressed by
means of a simple analytical formula. These results are used in several
physical examples, where the determinant of a product of differential operators
is not equal to the product of the corresponding functional determinants. The
simplicity of the Hamiltonian operators chosen is aimed at showing that such
situation may be quite widespread in mathematical physics. However, the
consequences of the existence of the determinant anomaly have often been
overlooked.

13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an