Fibonacci sequence and its generalizations in doped quantum spin ladders
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Magnetism and Magnetic Materials"
DOI: 10.1016/j.jmmm.2019.01.064
Abstract: Abstract An interesting aspect of antiferromagnetic quantum spin ladders, with complete dimer coverings, is that the wave function can be recursively generated by estimating the number of coverings in the valence bond basis, which follow… read more here.
Keywords: fibonacci sequence; quantum spin; doped quantum; spin ladders ... See more keywords
A Two-by-Two matrix representation of a generalized Fibonacci sequence
Sign Up to like & getrecommendations! Published in 2017 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hjms.2017.477
Abstract: The Fibonacci sequence is a well-known example of second order recurrence sequence, which belongs to a particular class of recursive sequences. In this article, other generalized Fibonacci sequence is introduced and defined by $ H_{k,n+1}=2H_{k,n}+kH_{k,n-1},~n\geq1,~H_{k,0}=2,~H_{k,1}=1$… read more here.
Keywords: matrix representation; fibonacci sequence; generalized fibonacci; two two ... See more keywords