In abstract Yang–Mills theory the standard instanton construction relies on the Hodge star having real eigenvalues which makes it inapplicable in the Lorentzian case. We show that for the affine connection an instanton-type construction can be carried out in the Lorentzian setting. The Lorentzian analogue of an instanton is a spacetime whose connection is metric compatible and Riemann curvature...

The spectral distribution of light scattered by a ternary fluid mixture containing two chemically reactive species and one nonreactive species is considered and a normal mode analysis is carried out for a range of ^-values for which the pressure fluctuations are decoupled from those in entropy and concentration. The expressions obtained for both the lorentzian and non-lorentzian contributions t...

We continue here the analysis of the previous paper of the Wheeler-DeWitt constraint operator for four-dimensional, Lorentzian, non-perturbative, canonical vacuum quantum gravity in the continuum. In this paper we derive the complete kernel, as well as a physical inner product on it, for a non-symmetric version of the Wheeler-DeWitt operator. We then define a symmetric version of the Wheeler-De...

The electrical behaviour of Schottky barrier diodes realized on vertically standing individual GaN nanorods and array of nanorods is investigated. The Schottky diodes on individual nanorod show highest barrier height in comparison with large area diodes on nanorods array and epitaxial film which is in contrast with previously published work. The discrepancy between the electrical behaviour of n...

This paper addresses recent experimental findings about luminescence of a gold tip in near-field interaction with a gold surface. Our electrochemically etched gold tips show a typical, intrinsic luminescence that we exploit to track the plasmon resonance modeled by a Lorentzian oscillator. Our experimental device is based on a spectrometer optically coupled to an atomic force microscope used in...

It is also very well known that when charged particles are involved in a decay process, the Lorentzian energy distribution dW0(E) of the meta-stable particle must be radiatively corrected [4] [5] [6] to a new energy distribution dW (E). The new distribution has a much more “skewed” line shape than that of a simple Lorentzian. It then follows that the survival probability also has a radiative co...

We apply Cartan’s method of equivalence to construct invariants of a given null hypersurface in a Lorentzian space-time. This enables us to fully classify the internal geometry of such surfaces and hence solve the local equivalence problem for null hypersurface structures in 4-dimensional Lorentzian space-times. ∗Research supported by Komitet Badań Naukowych (Grant nr 2 P03B 060 17), the Erwin ...

The exact results for thermodynamical properties of one-dimensional spin-1 2 isotropic XY model with Dzyaloshinskii-Mo-riya interaction in random lorentzian transverse field are obtained. This permits to discuss some approximate methods of disordered spin systems theory. The approximate scheme of examining the thermodynamics of one-dimensional spin-1 2 XXZ Heisenberg model with Dzyaloshinskii-M...

We find the most general Self-dual Lorentzian Wormholes in a special class of teleparallel theory of gravitation. The spacetime of these wormholes is a static and it includes the Schwarzschild black hole, a family of naked singularity and a disjoint family of Lorentzian wormholes all of which have a vanishing scalar curvature R({}). The stability is studied using the equations of geodesic devia...

Movies of MCAK-GFP diffusion were analyzed using ”Motion Tracking,” an in-house software package written in the Pluk software development environment (ref. 18). The program starts by identifying peaks in the pixel intensity values for a single frame of the movie. Intensity peaks are assigned (x, y) position values by fitting the experimental intensity distribution with a squared Lorentzian func...