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Generalized Heisenberg algebras and k-generalized Fibonacci numbers

Matthias Schork
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Abstract

It is shown how some of the recent results of de Souza et al. [1] 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. corespond to k=2.

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Matthias Schork. 2007-02-22. Generalized Heisenberg algebras and k-generalized Fibonacci numbers. https://doi.org/10.1088/1751-8113%2F40%2F15%2F011

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