Transfer matrix in one dimensional problems

M. E. Mora , R. Pérez , Ch. B. Sommers

The transfer matrix in one dimension is generalized in order to treat a wide class of problems. Solutions involving the Schrödinger and Dirac equations as well as the Kane two band model are presented. In the case of a periodic potential E(k) is obtained by diagonalizing the transfer matrix and solutions of the above equations yield a dispersion relation which can be written as cos (kd) = f(E).

Mots clés: Dirac equation; Schrodinger equation

Domaines: Articles anciens

M. E. Mora, R. Pérez, Ch. B. Sommers. Transfer matrix in one dimensional problems. Journal de Physique, 1985, 46 (7), pp.1021-1026. ⟨10.1051/jphys:019850046070102100⟩. ⟨jpa-00210047⟩