Vibration frequencies and modes for the thickness-shear vibrations of infinite partially-electroded circular AT-cut quartz plates are obtained by solving the two-dimensional (2D) scalar differential equation derived by Tiersten and Smythe. The Mathieu and modified Mathieu equations are derived from the governing equation using the coordinate transform and the collocation method is used to deal ...

Title: MORBIDITY AND MORTALITY RELATED TO PNEUMONIA AND TRACHEOBRONCHITIS IN ICU AFTER LUNG TRANSPLANTATION Authors: Sébastien TANAKA ([email protected]) Claire GENEVE ([email protected]) Gianpiero TEBANO ([email protected]) Nathalie GRALL ([email protected]) Pascale PIEDNOIR ([email protected]) Régis BRONCHARD ([email protected]) Mathieu GODEMENT (mathi...

We show that the complex PT -symmetric periodic potential V (x) = −(iξ sin 2x+ N)2, where ξ is real and N is a positive integer, is quasi-exactly solvable. For odd values of N ≥ 3, it may lead to exceptional points depending upon the strength of the coupling parameter ξ. The corresponding Schrödinger equation is also shown to go over to the Mathieu equation asymptotically. The limiting value of...

We describe a new class of propagation-invariant light beams with Fourier transform given by an eigenfunction of the quantum mechanical pendulum. These beams, whose spectra (restricted to a circle) are doubly periodic Mathieu functions in azimuth, depend on a field strength parameter. When the parameter is zero, pendulum beams are Bessel beams, and as the parameter approaches infinity, they res...

We show that the complex PT -symmetric periodic potential V (x) = −(iξ sin 2x+ N)2, where ξ is real and N is a positive integer, is quasi-exactly solvable. For odd values of N ≥ 3, it may lead to exceptional points depending upon the strength of the coupling parameter ξ. The corresponding Schrödinger equation is also shown to go over to the Mathieu equation asymptotically. The limiting value of...

Prospects for Xenotransplantation: Identifying psychosocial and pastoral challenges Jochen Sautermeister, Richard Mathieu, Veronika Bogner Chair for Moral Theology, Catholic Theological Faculty, University Munich,

We derive a new Chambers-type formula and prove sharper upper bounds on the measure of spectrum critical almost Mathieu operators with rational frequencies.

We report on the observation of Faraday waves in a cigar-shaped Fermi superfluid $^6$Li parametrically excited by modulating radial trap frequency. characterize phenomenon as function interaction parameter means Feshbach resonance. Starting from BEC side resonance we observe drop visibility pattern approach to unitarity, possibly due increased incompressibility system. probe excitation spectrum...

Heavy metal pollution limits shouldn't just keep humans safe, but other animals too, say Coline Monchanin and Mathieu Lihoreau

a nonlocal beam model based on the bernoulli–euler beam theory is presented to investigate the dynamic stability of embedded single-walled carbon nanotubes (swcnts) in thermal environment under combined static and periodic axial loads. the dynamic stability analysis is carried out by including the effects of small-scale parameter, temperature change and elastic medium. the equation of motion is...