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The usual tight-binding (TB) approximation, employed in electronic structure calculations, is extended to include the more-distant neighbor sites than the first. In doing so, a simple power law is adopted to describe the bond and overlap contributions, which enables the energy dispersion relation to...
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Recursive procedures are found for calculating the kth-order entropy of non-periodic sequences. These entropies are used as measures of disorder of the sequences and we treat: the Fibonacci sequence and generalizations; the Thue-Morse sequence together with generalizations and the period-doubling se...
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In many scientific disciplines, measurements are taken from films that have been exposed to energetic sources. Examples include radiographs where the source is an X-ray tube, autoradiography where the source is a radioactive isotope and electrophoresis gels where the source is an enhanced chemilumin...
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The theory of resonant charge transfer during atom-surface scattering has been extended to incorporate the effect on the charge transfer probability of the motion of the target atom, which is accomplished by treating it as a quantum harmonic oscillator. This leads to a coupling between the transferr...
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The recursive Green function (RGF) method is used to obtain the surface and adatom RGFs for an electrified substate. The electrochemisorption (ECS) process is described, by invoking the Anderson-Newns (AN) model, whereby a self-consistent treatment of the ECS energy and charge transfer is provided. ...
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The electron transmission properties of a molecular wire, containing a single impurity, are investigated in the context of the tight-binding approximation. The inclusion of overlap gives rise to nonorthogonal orbitals, whose treatment requires a tensorial formalism to obtain the Green function arisi...
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We develop a theoretical framework for investigating charge-transfer processes occurring during the scattering of an ion from a solid surface, in the presence of a pulsed laser field. The theory is based upon the many-electron formalism, previously used by our group, to investigate charge transfer b...
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A tensorial Green-function treatment of the electronic transmission properties of an atomic wire T-junction is presented within the framework of the tight-binding approximation. The adoption of the tensorial formalism enables overlap effects to be included in a straightforward manner, without the ne...
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Many previous studies of obese rodents documented biochemical changes in pancreatic islets that contribute to hyperinsulinemia in vivo. Those studies used heterogeneous populations of islets, although the size of islets from obese rats ranges from 500 microm. Here, functional and morphological chang...