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A General Study of Tunnelling through Multibarrier Systems
Author(s) -
Roy C. L.,
Khan Arif
Publication year - 1993
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.2221760110
Subject(s) - quantum tunnelling , physics , quantum mechanics
A study of the tunnelling through an arbitrary number N of rectangular barrier‐type potentials is reported. For this purpose, first the general form of the transmission coefficient (TC) for the system just mentioned is derived and therefrom the general form of conditions for resonant tunnelling is obtained. Our study indicates, among others, 1. the role of the Chebyshev polynomials of second kind in regard to TC, 2. the domains of energies for resonant tunnelling, and 3. the validity of one condition for resonant tunnelling through any even number of barriers.