Green function (which can be called the q-analogous of the Hankel function) on the quantum plane E q = Eq(2)/U(1) is constructed.

*Correspondence: Colin J. R. Sheppard, Department of Nanophysics, Istituto Italiano di Tecnologia, Via Morego 30, 16163 Genova, Italy e-mail: [email protected] We review Fourier methods used in the disciplines of electromagnetism and signal processing, with a view to reconciling differences in approach. In particular, Fourier methods well known in signal processing are applied to three-...

In this chapter we introduce the fundamental concepts behind the Green Function Theory. We start from a description of the second quantization method and then, after introducing the ensemble average of an operator, we define the main object of the theory, the Green function. Further on, after obtaining the equation of motion for the Green function, we introduce the self-energy operator and we d...

This paper derives, in closed form, the Green function of an FEL operating in the strongly Raman regime. This Green function allows for the calculation of the temporal and spatial evolution of an arbitrary input radiation pulse. For the first time superradiance, originally studied in Compton regime by Bonifacio and co-workers [Phys. Rev. Lett. 73 (1994) 70; Nucl. Instr. and Meth. A 239 (1985) 3...

We adapt the proof of the Green-Tao theorem on arithmetic progressions in primes to the setting of polynomials over a finite field, to show that for every k, the irreducible polynomials in Fq[t] contain configurations of the form {f + P g : deg(P) < k}, g = 0.

We adapt the proof of the Green-Tao theorem on arithmetic progressions in primes to the setting of polynomials over a finite fields, to show that for every k, the irreducible polynomials in Fq[t] contains configurations of the form {f + P g : deg(P) < k}, g = 0.

Huan Yang, Fan Zhang, Aaron Zimmerman, and Yanbei Chen Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L2Y5, Canada Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L3G1, Canada Department of Physics, West Virginia University, P.O. Box 6315, Morgantow...

Green performance measure is vital for enterprises in making continuous improvements to maintain sustainable competitive advantages. Evaluation of green performance, however, is a challenging task due to the dependence complexity of the aspects, criteria, and the linguistic vagueness of some qualitative information and quantitative data together. To deal with this issue, this study proposes a n...

in macroeconomic studies, social welfare is assumed as a function of inflation and unemployment. although the social welfare function which is dependent to unemployment and inflation variables has been used widely in macroeconomic theories, but this relation needs to be tested through empirical observations. this paper, using variables such as to economics of happiness area and subjective wellb...

The present research sought to extend the nascent literature on color and psychological functioning by examining whether perception of the color green facilitates creativity. In four experiments, we demonstrated that a brief glimpse of green prior to a creativity task enhances creative performance. This green effect was observed using both achromatic (white, gray) and chromatic (red, blue) cont...