The band structure of the Lamé equation, viewed as a one-dimensional Schrödinger equation with a periodic potential, is studied. At integer values of the degree parameter l, the dispersion relation is reduced to the l=1 dispersion relation, and a previously published l=2 dispersion relation is shown to be partly incorrect. The Hermite-Krichever Ansatz, which expresses Lamé equation solutions in...

The band structure of the Lamé equation, viewed as a one-dimensional Schrödinger equation with a periodic potential, is studied. At integer values of the degree parameter l, the dispersion relation is reduced to the l = 1 dispersion relation, and a previously published l = 2 dispersion relation is shown to be partially incorrect. The Hermite–Krichever Ansatz, which expresses Lamé equation solut...

Stable homogeneous dispersions of carbon nanotubes (CNTs) were prepared using ethanol as dispersing agent. Then, using sol-gel method, dispersion in the hydroxyapatite matrix and its effects on the microstructure were investigated. The phase composition, chemical structure and morphological and size analyses were performed using XRD, FT-IR, SEM, TEM/SAED/EDX and Raman spectroscopy. The influenc...