Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On position operator spectral measure for deformed oscillator in the
  case of indetermine Hamburger moment problem   The spectral measure of the position (momentum) operator $X$ for $q$-deformed
oscillator is calculated in the case of the indetermine Hamburger moment
problem. The exposition is given for concrete choice of generators for
$q$-oscillator algebra, although developed technique apply for every other
cases with indetermine moment problem. The Stieltjes transformation $m(z)$ of
spectral measure is expressed in terms of the entries of Jacobi matrix $X$
only. The direct connection between values of parameters labeling the spectral
measures and related selfadjoint extensions of $X$ is established.

35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph