Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectra and generalized eigenfunctions of the one- and two-mode
  squeezing operators in quantum optics   The spectra and generalized eigenfunctions of the hyperbolic and parabolic
generators of the standard representation of SU(1,1) in the one-mode boson
Hilbert space are derived. The eigenfunctions are given in three different
forms, corresponding to the coordinate, photon number, and Fock-Bargmann
representations of the state vectors. The possible spectra of general second
degree Hamiltonians are determined. Some corresponding results in the two-mode
case are also given. - In the Appendix we prove completeness and orthonormality
relations for the polynomials giving the number representation expansion
coefficients of the generalized eigenfunctions of the hyperbolic generator (=
squeezing generator). These polynomials are special cases of Pollaczek
polynomials.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn