Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Relationship between Localization and Norm-1 Property   The paper focuses on the problem of localization in quantum mechanics. It is
well known that it is not possible to define a localization observable for the
photon by means of projection valued measures. Conversely, that is possible by
using positive operator valued measures. On the other hand, projection valued
measures imply a kind of localization which is stronger than the one implied by
positive operator valued measures. It has been claimed that the norm-1 property
would in some sense reduce the gap between the two kind of localizations. We
give a necessary condition for the norm-1 property and show that it is not
satisfied by several important localization observables.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat