Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The ambiguity function and the displacement operator basis in quantum
  mechanics   We present a method for calculating expectation values of operators in terms
of a corresponding c-function formalism which is not the Wigner--Weyl
position-momentum phase-space, but another space. Here, the quantity
representing the quantum system is the expectation value of the displacement
operator, parametrized by the position and momentum displacements, and
expectation values are evaluated as classical integrals over these parameters.
The displacement operator is found to offer a complete orthogonal basis for
operators, and some of its other properties are investigated. Connection to the
Wigner distribution and Weyl procedure are discussed and examples are given.

3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con