Generalized Heisenberg algebras and k-generalized Fibonacci numbers

摘要

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.