Hamiltonian systems with rapidly oscillating explicit dependence on time are considered. The wavelength of this oscillation is treated as a small parameter and it is shown how to remove the time dependence up to some order in the small parameter by means of a canonical transformation presented in the form of an asymptotic series. The result has applications for the study of pulse propagation fo...

An so(4,C)-covariant hamiltonian formulation of a family of generalized Hilbert– Palatini actions depending on a parameter (the so called Immirzi parameter) is developed. It encompasses the Ashtekar–Barbero gravity which serves as a basis of quantum loop gravity. Dirac quantization of this system is constructed. Next we study dependence of the quantum system on the Immirzi parameter. The path i...

We analyze gauge parameter dependence by using an algebraic method which relates the gauge parameter dependence of Green functions to an enlarged Slavnov-Taylor identity. In the course of the renormalization it turns out that gauge parameter dependence of physical parameters is already restricted at the level of Green functions. In a first step we consider the on-shell conditions which we find ...

— Spatial dependencies tend to introduce correlations among parameter values obtained from test structures. These spatial correlations obscure the parameter correlations caused by common underlying variables and make process diagnosis more difficult. In this work, linear regression method has been used to generate the spatial models for both wafer and chip level to investigate their significanc...

In this paper, the equation of motion for an incompressible transversely isotropic fibre-reinforced elastic solid is derived in terms of a scalar function.   The general solution of the equation of motion is obtained, which satisfies the required radiation condition.  The appropriate traction free boundary conditions are also satisfied by the solution to obtain the required secular equation for...