Much use has been made of the techniques of supersymmetric quantum mechanics (SUSY QM) for studying bound-state problems characterized by a super-potential '(x). Under the analytic continuation '(x) ! i'(x), a pair of superpartner bound-state problems is transformed into a two-state level-crossing problem in the continuum. The description of matter-enhanced neutrino avor oscillations involves a...

Double resonance level crossing detection cannot normally be used to record transitions between the quadrupole Zeeman levels. Neither can it be used if the quadrupole resonance frequency is larger than the pro ton N M R frequency in high field. A simple variation of the level crossing experiment is demonstrated which allows energy to be efficiently transferred f rom quadrupole to proton system ...

Traditional ADCs (Analog-to-Digital Converters) acquire samples at regular intervals TS at a sample rate fS=1/TS and needs to adhere to the Nyquist sampling theorem, i.e., fS>2 × fB, where fB is the signal’s bandwidth [1]. Due to the periodic nature of traditional ADCs, they are sometimes referred to as synchronous ADCs [2,3]. Synchronous ADCs are characterized by a periodicity in time and equi...

Commonly used analog-to-digital converters sample signals uniformly. The sampling rate is determined by maximal frequency in signal spectrum. In the general case the spectral content of the majority of signals encountered in our everyday life changes over time. The main idea behind level-crossing sampling is to take advantage of the characteristics of the input signal in order to minimize activ...

In this paper, we propose a strategy based on the joint use of background/foreground segmentation methods and colorimetric invariants or color spaces, in order to detect more precisely moving objects at level crossings throughout the day. The proposed strategy is composed of three steps : 1/ apply an adapted colorimetric invariant on the acquired image in order to simplify the image and limit t...

We demonstrate that the number of fermionic zero modes of the static 2-dimensional Dirac operator in the background of SU(2) static gauge-Higgs field configurations is a topological invariant modulo four. Static configurations which are everywhere odd under parity with even-parity pure gauge behaviour at infinity admit 4n, n ∈ Z, zero modes of the Jackiw-Rebbi (JR) type. Odd-parity configuratio...

A major method for quantitative visualization of a scalar field is depiction of its isocontours. If the scalar field is afflicted with uncertainties, uncertain counterparts to isocontours have to be extracted and depicted. We consider the case where the input data is modeled as a discretized Gaussian field with spatial correlations. For this situation we want to compute level-crossing probabili...

The issue of the mean signal level crossing rate for various probability density functions with primary relevance for optics is discussed based on a new analytical method. This method relies on a unique transformation that transforms the probability distribution under investigation into a normal probability distribution, for which the distribution of mean level crossings is known. In general, t...

We devise a method for probing resonances of macroscopic matter waves in shaken optical lattices by monitoring their response to slow parameter changes, and show that such resonances can be disabled by particular choices of the driving amplitude. The theoretical analysis of this scheme reveals far-reaching analogies between dressed atoms and time periodically forced matter waves.

Problem: The number of killed and injured persons in incidents at railway level crossings is generally increasing on the Serbian Railways, particularly at passive crossings. In this paper we researched the direct behaviour of road traffic participants at a conventional railway passive crossing. Method: Direct observational study of drivers’ behaviour at a level crossing. Results: Sixty-one road...