Premium
Transfer Matrix in the Quasiclassical Approximation with Constant and Position‐Dependent Mass. Resonant Tunneling
Author(s) -
PérezAlvarez R.,
RodriguezCoppola H.,
LópezGondar J.,
LagoIzquierdo M.
Publication year - 1988
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221450215
Subject(s) - transmission coefficient , quantum tunnelling , formalism (music) , transfer matrix , physics , position (finance) , mathematical analysis , quantum mechanics , transmission (telecommunications) , mathematics , art , musical , computer science , electrical engineering , visual arts , computer vision , engineering , finance , economics
A quasiclassical approximation is developed for the effective Hamiltonians describing nonhomogeneous systems and the wave function, the applicability conditions and the connection rules around the turning points are deduced. Based on the transfer matrix (TM) formalism expressions are obtained for the transmission coefficient of multiple barriers, the energy levels of multiple wells, and the quasistationary levels of a well open by one and by two sides. The dispersion relation of a periodic potential profile with variable mass problem is also given. Resonant tunneling is discussed for a system of multiple barriers. The transmission coefficient of such a barrier is maximum at energies close to the levels of the inner well when the end barriers are high enough and symmetric.