Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Heisenberg Algebras and Fibonacci Series   We have constructed a Heisenberg-type algebra generated by the Hamiltonian,
the step operators and an auxiliar operator. This algebra describes quantum
systems having eigenvalues of the Hamiltonian depending on the eigenvalues of
the two previous levels. This happens, for example, for systems having the
energy spectrum given by Fibonacci sequence. Moreover, the algebraic structure
depends on two functions f(x) and g(x). When these two functions are linear we
classify, analysing the stability of the fixed points of the functions, the
possible representations for this algebra.

27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th