6,210 research outputs found
Scanning tunnelling spectroscopy of electron resonators
The electronic structure of artificial Mn atom arrays on Ag(111) is
characterized in detail with scanning tunnelling spectroscopy and spectroscopic
imaging at low temperature. We demonstrate the degree to which variations in
geometry may be used to control spatial and spectral distributions of surface
state electrons confined within the arrays, how these are influenced by atoms
placed within the structure and how the ability to induce spectral features at
specific energies may be exploited through lineshape analyses to deduce
quasiparticle lifetimes near the Fermi level. Through extensive comparison of
maps and spectra we demonstrate the utility of a model based upon
two-dimensional s-wave scatterers for describing and predicting the
characteristics of specific resonators
Phase coherence length and quantum interference patterns at step edges
The accepted approximation used to describe quantum interference patterns at
steps is shown to be incorrect. As a result, electron lifetimes determined
using it are in error by a factor 2.Comment: 3 pages, 1 figur
q-Newton binomial: from Euler to Gauss
A counter-intuitive result of Gauss (formulae (1.6), (1.7) below) is made
less mysterious by virtue of being generalized through the introduction of an
additional parameter
Uncovering Ramanujan's "Lost" Notebook: An Oral History
Here we weave together interviews conducted by the author with three
prominent figures in the world of Ramanujan's mathematics, George Andrews,
Bruce Berndt and Ken Ono. The article describes Andrews's discovery of the
"lost" notebook, Andrews and Berndt's effort of proving and editing Ramanujan's
notes, and recent breakthroughs by Ono and others carrying certain important
aspects of the Indian mathematician's work into the future. Also presented are
historical details related to Ramanujan and his mathematics, perspectives on
the impact of his work in contemporary mathematics, and a number of interesting
personal anecdotes from Andrews, Berndt and Ono
Consumption Externalities and Diffusion in Pharmaceutical Markets: Antiulcer Drugs
We examine the role of consumption externalities in the demand for pharmaceuticals at both the brand level and over a therapeutic class of drugs. These effects emerge when use of a drug by others affects its value, and/or conveys information abut efficacy and safety to patients and physicians. This can affect that rate of market diffusion for a new entrant, and can lead to herb behavior whereby a particular drug can dominate the market despite the availability of close substitutes. We use data for H2-antagonist antiulcer drugs to estimate a dynamic demand model and quantify these effects. The model has three components: an hedonic price equation that measures how the aggregate usage of a drug, as well as conventional attributes, affect brand valuation; equations relating equilibrium market shares to quality-adjusted prices and marketing levels; and diffusion equations describing the dynamic adjustment process. We find that consumption externalities influence both valuations and rates of diffusion, but that they operate at the brand and not the therapeutic class level.
Theoretical analysis of STM-derived lifetimes of excitations in the Shockley surface state band of Ag(111)
We present a quantitative many-body analysis using the GW approximation of
the decay rate due to electron-electron scattering of excitations in
the Shockley surface state band of Ag(111), as measured using the scanning
tunnelling microscope (STM). The calculations include the perturbing influence
of the STM, which causes a Stark-shift of the surface state energy and
concomitant increase in . We find varies more rapidly with
than recently found for image potential states, where the STM has been shown to
significantly affect measured lifetimes. For the Shockley states, the
Stark-shifts that occur under normal tunnelling conditions are relatively small
and previous STM-derived lifetimes need not be corrected.Comment: 4 pages, 3 figure
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