Given a weakly calibrated stereo system and a virtual 3D surveillance plane specified by any 3 points given by an external operator, we describe a framework for matching complex 2D planar curves lying at the intersection of the 3D surveillance plane and the 3D scene being observed. This important information may then be used to know which parts of the objects being observed are between the ster...

The family of complex PT-symmetric sextic potentials is studied to show that for various cases the system is essentially quasi-solvable and possesses real, discrete energy eigenvalues. For a particular choice of parameters, we find that under supersymmetric transformations the underlying potential picks up a reflectionless part. PACS: 03.65.Ge, 03.65.-w

One of the most difficult tasks in value function approximation for Markov Decision Processes is finding an approximation architecture that is expressive enough to capture the important structure in the value function, while at the same time not overfitting the training samples. Recent results in nonparametric approximate linear programming (NP-ALP), have demonstrated that this can be done effe...

A particle moving on a circle in a purely imaginary one-step potential is studied in both the exact and broken PT -symmetric regime.

Experimental verification of the theory for the transient current response of a wall-jet electrode to a potential step is given. The systems studied are ferrocyanide and bromide oxidation in a specially designed large volume cell. Good and reproducible agreement between diffusion coefficients determined by this method and independent techniques is found. Optimized conditions, to avoid on the on...

We study the tunnelling trough a potential barrier of the system of two quantum correlated particles. The system is considered in one dimension. The interaction with the barrier and between particles is approximated by δ-potentials. Assuming that the particles have the same masses, we reduce the problem to the set of independent planar scattering problems corresponding to two-body flux symmetry...

The Automated Multiple View Inspection (AMVI) has been recently developed for automated defect detection of manufactured objects. The approach detects defects by analysing image sequences in two steps. In the first step, potential defects are automatically identified in each image of the sequence. In the second step, the potential defects are tracked in the sequence. The key idea of this strate...

Large-scale molecular-dynamics simulations are performed to study friction in nanoscale single asperity contacts. The modeling system consists of a tip made of H-terminated diamond-like carbon and an H-terminated diamond sample. Simulations are carried out using a reactive bond-order interatomic potential integrated with dispersive interactions. A quantitative agreement in contact pressures and...

Let L = −∆− W be a Schrödinger operator with a potential W ∈ L n+1 2 (R), n ≥ 2. We prove that there is no positive eigenvalue. The main tool is an L − Lp′ Carleman type estimate, which implies that eigenfunctions to positive eigenvalues must be compactly supported. The Carleman estimate builds on delicate dispersive estimates established in [7]. We also consider extensions of the result to var...

A New Objective for High Resolution Imaging of Bose-Einstein Condensates In the framework of this thesis a new imaging system for the measurement of the atomic density distribution in Bose-Einstein condensates has been built and characterized. The achieved optical resolution of 1.1 µm according to the Rayleigh criterion makes it now possible to observe structures on the scale of the so-called '...