Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Full spectrum of the Rabi model   It is shown that in the Rabi model, for an integer value of the spectral
parameter $x$, in addition to the finite number of the classical Judd states
there exist infinitely many possible eigenstates. These eigenstates exist if
the parameters of the problem are zeros of a certain transcendental function;
in other words, there are infinitely many possible choices of parameters for
which integer $x$ belongs to the spectrum. Morover, it is shown that the
classical Judd eigenstates appear as degenerate cases of the confluent Heun
function.

4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics