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.

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

New, accurate lower and upper bounds for the sum of the generalized Mathieu series ∞ ∑ k=1 2k (k2 + x2) , p > 0,

Muscle is usually studied under nonphysiological conditions, such as tetanic stimulation or isovelocity movements, conditions selected to isolate specific properties or mechanisms in muscle. The purpose of this study was to measure the function of cat soleus muscle during physiological conditions, specifically a simulation of a single speed of slow walking, to determine whether the resulting fo...

We find pairs of solutions to a differential equation which is obtained as a special limit of a generalized spheroidal wave equation (this is also known as confluent Heun equation). One solution in each pair is given by a series of hypergeometric functions and converges for any finite value of the independent variable z, while the other is given by a series of modified Bessel functions and conv...

We propose a homotopy analysis method in combination with Galerkin projections to obtain transition curves of Mathieu-like equations. While constructing homotopy, we think convergence-control parameter as function embedding and call it function. Homotopy provides relation between the parameters Mathieu equation that also includes free arising from generate extra nonlinear algebraic equations us...

So you think you can't dance? (The mysterious case of the guy with two left feet) Mathieu did not just suddenly come to realize this problem, and he did not give up easily. He spent most of his 23 years of life studying music (various instruments , voice) and dance (Latin dance lessons, and he even performed in a dance troupe at a family amusement park!), only to find, time after time, that he ...

Binary descriptors of image patches provide processing speed advantages and require less storage than methods that encode the patch appearance with a vector of real numbers. We provide evidence that, despite its simplicity, a stochastic hill climbing descriptor construction process defeats recently proposed alternatives on a standard discriminative power benchmark. The method is easy to impleme...