Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Golden Quantum Oscillator and Binet-Fibonacci Calculus   The Binet-Fibonacci formula for Fibonacci numbers is treated as a q-number
(and q-operator) with Golden ratio bases $q=\phi$ and $Q=-1/\phi$. Quantum
harmonic oscillator for this Golden calculus is derived so that its spectrum is
given just by Fibonacci numbers. Ratio of successive energy levels is found as
the Golden sequence and for asymptotic states it appears as the Golden ratio.
This why we called this oscillator as the Golden oscillator. By double Golden
bosons, the Golden angular momentum and its representation in terms of
Fibonacci numbers and the Golden ratio are derived.

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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an