Generalized Heisenberg algebras and k-generalized Fibonacci numbers

Details Generalized Heisenberg algebras and k-generalized Fibonacci numbers Generalized Heisenberg algebras and k-generalized Fibonacci numbers

2007-02-22

arxiv.org/abs/math-ph/0702078v1

J. Phys. A: Math. Theor. 40 (2007) 4207-4214

Physics

Mathematical Physics

8 pages

Scientific paper

10.1088/1751-8113/40/15/011

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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