A General Study of Tunnelling through Multibarrier Systems
Chandana Roy, Arif Khan
Abstract
Chandana Roy, Arif Khan
Abstract
Abstract 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.
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Abstract 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.
Key concepts: Quantum tunnelling, Physics, Quantum mechanics