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Generalized Heisenberg algebras andk-generalized Fibonacci numbers

2007/02/22 by Matthias Schork · 2 citations
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Molecular spectroscopy and chirality #Quasicrystal Structures and Properties #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/1751-8113/40/15/011

published as J. Phys. A: Math. Theor. 40 (2007) 4207-4214 · 8 pages

arxiv created 2007/02/22 · openalex publication_date 2007/03/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

It is shown how some of the recent results of de Souza et al ( 2006 J. Phys. A: Math. Gen. 39 10415 ) can be generalized to describe Hamiltonians whose eigenvalues are given as k -generalized Fibonacci numbers. Here k is an arbitrary integer and the cases considered by de Souza et al correspond to k = 2.

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