Theory of an elastic anomaly in the heavy fermion system CeTe

The elastic anomaly observed in the coherent Kondo state of Ce heavy fermion compounds is analyzed by using the Anderson lattice model simulating the energy level scheme of CeTe. The $\Gamma_7$ doublets and $\Gamma_8$ quartets of the 4f states are considered in the model. We solve the mean field equations to derive the temperature dependences of elastic constants, using the random phase approximation like expression for the interaction between the elastic strain and the crystalline field splitting. We compare the calculation with the $(c_{11} - c_{12})/2$ and $c_{44}$ constants of CeTe. The presence of the downward dip and the observed overall temperature variations of the two constants are well described by the present theory. The origin of the dip is the coupling between the elastic strain and the splitting of the $\Gamma_8$ quartets.Comment: submission to Phys. Rev. B, 16 pages, 3 figures (sent by the snail mail

The tanh transformation for double integrals with singularities—a progressive rule

AbstractTwo transformation methods are extended to the numerical evaluation of two dimensional singular quadratures. These are both based on the tanh transformation and the resulting high order behaviour of the trapezoidal rule. Tests are carried out on some examples for which analytic results are also known

A comparison of the error function and the tanh transformation as progressive rules for double and triple singular integrals

AbstractTransformations of the form x = tanh(g(t)) for g(t) = n and for g(t) = c sinh(t), as well as transformations of the error function type are employed on double and triple singular integrals. Extensions of the one-dimensional approach allow variable limit multiple integrals to be attempted successfully. Some shortcomings of the double exponential or DE rule are exposed in the comparisons. Finally, comparison is made with the method of good lattice points (Sugihara, 1987)

Symmetry reduction of Fourier kernels

Symmetry reduction of Fourier kernel

Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory II: SU(3)

We complete the computation of spectral measures for SU(3) nimrep graphs arising in subfactor theory, namely the SU(3) ADE graphs associated with SU(3) modular invariants and the McKay graphs of finite subgroups of SU(3). For the SU(2) graphs the spectral measures distill onto very special subsets of the semicircle/circle, whilst for the SU(3) graphs the spectral measures distill onto very special subsets of the discoid/torus. The theory of nimreps allows us to compute these measures precisely. We have previously determined spectral measures for some nimrep graphs arising in subfactor theory, particularly those associated with all SU(2) modular invariants, all subgroups of SU(2), the torus, SU(3), and some SU(3) graphs.Comment: 38 pages, 21 figure

Planar gunn diode characterisation and resonators elements to realise oscillator circuits

The paper describes the planar Gunn diode, which is well suited to providing milli-metric and tera hertz sources using microwave monolithic integrated circuit (MMIC) technologies. Different planar Gunn electrode geometries are described along with DC, RF and thermal characterisation. To realize the planar high frequency sources there is requirement for high frequency planar resonators, the paper will describe both the radial and new diamond shaped geometries

On an Asymptotic Series of Ramanujan

An asymptotic series in Ramanujan's second notebook (Entry 10, Chapter 3) is concerned with the behavior of the expected value of $\phi(X)$ for large $\lambda$ where $X$ is a Poisson random variable with mean $\lambda$ and $\phi$ is a function satisfying certain growth conditions. We generalize this by studying the asymptotics of the expected value of $\phi(X)$ when the distribution of $X$ belongs to a suitable family indexed by a convolution parameter. Examples include the problem of inverse moments for distribution families such as the binomial or the negative binomial.Comment: To appear, Ramanujan

Fingertip ischemia following intralesional injection of <i>Candida albicans</i> antigen for treatment of a subungual wart

Subungual or periungual cutaneous warts are caused by the Human Papillomavirus (HPV). These lesions can be refractory to destructive therapy, necessitating the use of intralesional immunotherapies such as Candida albicans antigen. In this case report, we present a 23-year-old female who sustained distal fingertip soft tissue necrosis following intralesional injection of Candida albicans antigen for treatment of a refractory subungual wart. While this patient recovered appropriately with conservative bedside debridement and local wound care, intralesional injections to the digit, or hand are not without sequela. Care must be taken to inject intradermal and avoid the underlying digital vasculature. In this case, the radial digital vessels were traumatized upon injection, leading to digital ischemia and soft tissue necrosis. While isolated soft tissue ischemia without compromised perfusion can be treated conservatively, these injuries should be evaluated by a hand surgeon to determine the need for emergent revascularization, or future soft tissue reconstruction

From Molecular Cores to Planet-forming Disks: An SIRTF Legacy Program

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