Generalized Heisenberg algebras and k-generalized Fibonacci numbers
arXiv:math-ph/0702078 · doi:10.1088/1751-8113/40/15/011
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.
8 pages