The observable algebra O of SOq(3)-symmetric quantum mechanics is generated by the coordinates Pi and Xi of momentum and position spaces (which are both isomorphic to the SOq(3)-covariant real quantum space IR 3 q). Their interrelations are determined with the quantum group covariant differential calculus. For a quantum mechanical representation of O on a Hilbert space essential self-adjointnes...

This report refers to work completed during my internship with the Mechatronics Research Group at the department of Mechanical and Manufacturing Engineering at the University of Melbourne, Australia from September 5th, 2003 until March 5th, 2004. Recognition of three-dimensional objects in two-dimensional images is a key area of research in computer vision. One approach is to save multiple 2D v...

T HE recorded ballistocardiogram is a distorted representation of cardiovascular forces.1, 2, 3 These forces, which are generated by the contracting heart and accelerated blood, are transformed in transmission to the surface of the body. The resultant body movement is determined by the amplitudes of the transmitted forces and the mechanical response of the body. It is the purpose of this paper ...

Abst rac t . Functional parts i.e. mechanical parts with intrinsic functionality such as screws, hinges and gears, are appealing high level entities to be used in line drawing understanding systems. This is because their functionality can be used by a reasoning agent to infer surrounding objects and because they are usually drawn following standards making them easier to be detected. In this ch...

A non–commutative analogue of the classical differential forms is constructed on the phase–space of an arbitrary quantum system. The non– commutative forms are universal and are related to the quantum mechanical dynamics in the same way as the classical forms are related to classical dynamics. They are constructed by applying the Weyl–Wigner symbol map to the differential envelope of the linear...

Using the two-dimensional 3-disk system (in the A 1 representation) we compare the quantum mechanical cumulant expansion of the characteristic determinant, detM(k), and the semi-classical curvature expansion of the corresponding Gutzwiller-Voros zeta-function, Z GV (k). We will show that { independent of the wave number regime { the Gutzwiller-Voros curvature expansion is only an asymptotic app...

T HE recorded ballistocardiogram is a distorted representation of cardiovascular forces.1, 2, 3 These forces, which are generated by the contracting heart and accelerated blood, are transformed in transmission to the surface of the body. The resultant body movement is determined by the amplitudes of the transmitted forces and the mechanical response of the body. It is the purpose of this paper ...

Computational models have been used widely in tissue engineering research and have proven to be powerful tools for bio-mechanical analysis (i.e., blood flow, growth models, drug delivery, etc). This paper focuses on developing higher-fidelity models for vascular structures and blood vessels that integrate computational shape representations with bio-mechanical properties and features. Previous ...

Reaction-time and eye-fixation data are analyzed to investigate how people infer the kinematics of simple mechanical systems (pulley systems) from diagrams showing their static configuration. It is proposed that this mental animation process involves decomposing the representation of a pulley system into smaller units corresponding to the machine components and animating these components in a s...

Formally exact quantum mechanical expressions for cumulative transition matrix elements m jk(j ,E)5(n^ j um«uE ,j ,n&^E ,j ,num«uk&, central to one photon coherent control scenarios of photodissociation, are derived. The resultant approach bypasses the need for solving the complete state-to-state quantum mechanical reactive scattering problem to obtain control results. These exact expressions a...