Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on canonical quantization of fields on a manifold   We propose a general construction of quantum states for linear canonical
quantum fields on a manifold, which encompasses and generalizes the "standard"
procedures existing in textbooks. Our method provides pure and mixed states on
the same footing. A large class of examples finds a simple and unified
treatment in our approach. Applications discussed here include thermodynamical
equilibrium states for Minkowski fields and quantum field theory in the
Rindler's and in the open de Sitter universes. Our approach puts the above
examples into perspective and unravels new possibilities for quantization. We
call our generalization "extended canonical quantization" as it is suited to
attack cases not directly covered by the standard canonical approach.

8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph