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Systems of interacting classical harmonic oscillators have received considerable attention in the last years as analog models for describing electromagnetically induced transparency (EIT) and associated phenomena. We review these models and investiga te their validity for a variety of physical systems using two- and three-coupled harmonic oscillators. From the simplest EIT-$Lambda$ configuration and two-coupled single cavity modes we show that each atomic dipole-allowed transition and a single cavity mode can be represented by a damped harmonic oscillator. Thus, we have established a one-to-one correspondence between the classical and quantum dynamical variables. We show the limiting conditions and the equivalent for the EIT dark state in the mechanical system. This correspondence is extended to other systems that present EIT-related phenomena. Examples of such systems are two- and three-level (cavity EIT) atoms interacting with a single mode of an optical cavity, and four-level atoms in a inverted-Y and tripod configurations. The established equivalence between the mechanical and the cavity EIT systems, presented here for the first time, has been corroborated by experimental data. The analysis of the probe response of all these systems also brings to light a physical interpretation for the expectation value of the photon annihilation operator $leftlangle arightrangle$. We show it can be directly related to the electric susceptibility of systems, the composition of which includes a driven cavity field mode.
The first successful attempts to optimize the electric field in Resistive Microstrip Gas Chamber (RMSGC) using additional field shaping strips located inside the detector substrate are described.
A new family of spark-protected micropattern gaseous detectors is introduced: a 2-D sensitive restive microstrip counter and hybrid detectors, which combine in one design a resistive GEM with a microstrip detector. These novel detectors have several important advantages over other conventional micropattern detectors and are unique for applications like the readout detectors for dual phase noble liquid TPCs and RICHs.
Associated to a IFS one can consider a continuous map $hat{sigma} : [0,1]times Sigma to [0,1]times Sigma$, defined by $hat{sigma}(x,w)=(tau_{X_{1}(w)}(x), sigma(w))$ were $Sigma={0,1, ..., d-1}^{mathbb{N}}$, $sigma: Sigma to Sigma$ is given by$sigma( w_{1},w_{2},w_{3},...)=(w_{2},w_{3},w_{4}...)$ and $X_{k} : Sigma to {0,1, ..., n-1}$ is the projection on the coordinate $k$. A $rho$-weighted system, $rho geq 0$, is a weighted system $([0,1], tau_{i}, u_{i})$ such that there exists a positive bounded function $h : [0,1] to mathbb{R}$ and probability $ u $ on $[0,1]$ satisfying $ P_{u}(h)=rho h, quad P_{u}^{*}( u)=rho u$. A probability $hat{ u}$ on $[0,1]times Sigma$ is called holonomic for $hat{sigma}$ if $ int g circ hat{sigma} dhat{ u}= int g dhat{ u}, forall g in C([0,1])$. We denote the set of holonomic probabilities by ${cal H}$. Via disintegration, holonomic probabilities $hat{ u}$ on $[0,1]times Sigma$ are naturally associated to a $rho$-weighted system. More precisely, there exist a probability $ u$ on $[0,1]$ and $u_i, iin{0, 1,2,..,d-1}$ on $[0,1]$, such that is $P_{u}^*( u)= u$. We consider holonomic ergodic probabilities. For a holonomic probability we define entropy. Finally, we analyze the problem: given $phi in mathbb{B}^{+}$, find the solution of the maximization pressure problem $$p(phi)=$$
We report promising initial results obtained with new resistive-electrode GEM (RETGEM) detectors manufactured, for the first time, using screen printing technology. These new detectors allow one to reach gas gains nearly as high as with ordinary GEM- like detectors with metallic electrodes; however, due to the high resistivity of its electrodes the RETGEM, in contrast to ordinary hole-type detectors, has the advantage of being fully spark protected. We discovered that RETGEMs can operate stably and at high gains in noble gases and in other badly quenched gases, such as mixtures of noble gases with air and in pure air; therefore, a wide range of practical applications, including dosimetry and detection of dangerous gases, is foreseeable. To promote a better understanding of RETGEM technology some comparative studies were completed with metallic-electrode thick GEMs. A primary benefit of these new RETGEMs is that the screen printing technology is easily accessible to many research laboratories. This accessibility encourages the possibility to manufacture these GEM-like detectors with the electrode resistivity easily optimized for particular experimental or practical applications.
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