3 citations · 3 across the 6 of their papers we have counts for
6 papers
Applied-Field Effects on Benzene Transmission
Sydney G. Davison, Kenneth W. Sulston
By expressing the discrete Schrodinger equation as a second-order finite-difference equation with constant coefficients, the renormalization equations for substituted benzene dimer…
Analytical Treatment of Benzene Transmittivity
Kenneth W. Sulston, Sydney G. Davison
The renormalization method has been previously used in conjunction with the Lippman-Schwinger equation to calculate transmission probabilities for benzene molecules, within the tig…
Quantization of Time in Dynamic Barrier Tunnelling
Sydney G. Davison, Timothy S. Davison
In the Büttiker-Landauer perturbation approach to electron tunnelling, through a time-modulated rectilinear potential barrier, the Tien-Gordon identity was invoked, together with i…
Overlap Effects on Benzene Transmission
Kenneth W. Sulston, Sydney G. Davison
The Huckel molecular-orbital method (with overlap S) is used to derive the S-modified version of the renormalization equations, which are then employed to introduce overlap into th…
Transmission Properties of Branched Atomic Wires
Kenneth W. Sulston, Sydney G. Davison
The renormalization-decimation method is used to study the transmittivity of atomic wires, with one or more side branches attached at multiple sites. The rescaling process reduces…
Transmission of Renormalized Benzene Circuits
Kenneth W. Sulston, Sydney G. Davison
The renormalization equations emerge from a Greenian-matrix solution of the discretized Schrodinger equation. A by-product of these equations is the decimation process, which enabl…