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We consider a model applicable in many communication systems where the sum of n stochastic sinusoidal signals of the same frequency, but with random amplitudes as well as phase angles is present. The exact probability distribution of the…

Information Theory · Computer Science 2019-11-13 Y. Maghsoodi , A. Al-Dweik

Theory of spin noise in low dimensional systems and bulk semiconductors is reviewed. Spin noise is usually detected by optical means, continuously measuring the rotation angle of the polarization plane of the probe beam passing through the…

Mesoscale and Nanoscale Physics · Physics 2020-10-30 D. S. Smirnov , V. N. Mantsevich , M. M. Glazov

This article introduces the operator-scaling random ball model, generalizing the isotropic random ball models investigated recently in the literature to anisotropic setup. The model is introduced as a generalized random field and results on…

Probability · Mathematics 2018-07-03 Hermine Biermé , Olivier Durieu , Yizao Wang

In this work, we compute the graviton mediated scattering amplitude of a massive spin-2 Fierz-Pauli field with various other massive spin fields, and in the non-relativistic limit, find out the corresponding two-body gravitational…

High Energy Physics - Theory · Physics 2026-05-13 Avijit Sen Majumder , Sourav Bhattacharya

The first part of these notes is a self-contained introduction to generalized complex geometry. It is intended as a `user manual' for tools used in the study of supersymmetric backgrounds of supergravity. In the second part we review some…

High Energy Physics - Theory · Physics 2016-06-29 Dimitrios Tsimpis

In this paper some new ways of generalizing perfect numbers are investigated, numerical results are presented and some conjectures are established.

Number Theory · Mathematics 2010-08-03 Antal Bege , Kinga Fogarasi

Multi-loop superstring amplitude are calculated in the convenient gauge where Grassmann moduli are carried by the 2D gravitino field. Generally, instead of the modular symmetry, the amplitudes hold the symmetry under modular transformations…

High Energy Physics - Theory · Physics 2012-11-15 G. S. Danilov

We analyze the collective spin noise in interacting spin systems. General expressions are derived for the short time behaviour of spin systems with general spin-spin interactions, and we suggest optimum experimental conditions for the…

Quantum Physics · Physics 2009-11-07 Xiaoguang Wang , Anders S. Sorensen , Klaus Molmer

This note reports on an independent implementation of calculating one-loop amplitudes semi-numerically using generalized unitarity techniques. The algorithm implemented in form of a C++ code closely follows the method by Ellis, Giele,…

High Energy Physics - Phenomenology · Physics 2009-02-03 Jan-Christopher Winter , Walter T. Giele

We review the Consistent Amplitude approach to Quantum Theory and argue that quantum probabilities are explicitly Bayesian. In this approach amplitudes are tools for inference. They codify objective information about how complicated…

Quantum Physics · Physics 2015-06-26 Ariel Caticha

An integral representation for generalized parton distributions of spin-0 hadrons is suggested, which satisfies both polynomiality and positivity constraints.

High Energy Physics - Phenomenology · Physics 2009-11-07 P. V. Pobylitsa

A survey is given on the present knowledge of the polarized parton distribution functions. We give an outlook for further developments desired both on the theoretical as well on the experimental side to complete the understanding of the…

High Energy Physics - Phenomenology · Physics 2007-08-13 Johannes Blümlein

We examine the correlation of projected rotational velocities in binary systems. It is an extension of previous work (Steinitz and Pyper, 1970; Levato, 1974). An enlarged data basis and new tests enable us to conclude that there is indeed…

Astrophysics · Physics 2007-05-23 Netzach Farbiash , Raphael Steinitz

Spin accumulation is generated by injecting an unpolarized charge current into a channel of GaAs two-dimensional electron gas subject to an in-plane magnetic field, then measured in a non-local geometry. Unlike previous measurements that…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 H. Ebrahimnejad , Y. Ren , S. M. Frolov , I. Adagideli , J. A. Folk , W. Wegscheider

We present methods for approximating the mapping that defines the invariant manifold for two systems exhibiting generalized synchronization. If the equations of motion are known then an analytic approximation to the mapping can be found. If…

chao-dyn · Physics 2009-10-31 Reggie Brown

We study the general L_0-regular gl(2) spin chain, i.e. a chain where the sites {i,i+L_0,i+2L_0,...} carry the same arbitrary representation (spin) of gl(2). The basic example of such chain is obtained for L_0=2, where we recover the…

Mathematical Physics · Physics 2009-12-15 S. Belliard , N. Crampe , E. Ragoucy

We propose a generalization of pseudospin and spin symmetries, the SU(2) symmetries of Dirac equation with scalar and vector mean-field potentials originally found independently in the 70's by Smith and Tassie, and Bell and Ruegg. As…

Quantum Physics · Physics 2017-07-14 P. Alberto , M. Malheiro , T. Frederico , A. de Castro

The generalized density is a product of a density function and a weight function. For example, the average local brightness of an astronomical image is the probability of finding a galaxy times the mean brightness of the galaxy. We propose…

Methodology · Statistics 2014-06-10 Yen-Chi Chen , Christopher R. Genovese , Larry Wasserman

We present our latest results on the glueball spectrum of SU(N) gauge theories in 2+1 dimensions for spins ranging from 0 to 6 inclusive, as well as preliminary results for SU(3) in 3+1 dimensions. Simple glueball models and the relation of…

High Energy Physics - Lattice · Physics 2009-11-10 Harvey B. Meyer , Michael J. Teper

Generalised spin structures, or r-spin structures, on a 2-dimensional orbifold \Sigma are r-fold fibrewise connected coverings (also called r-th roots) of its unit tangent bundle ST\Sigma. We investigate such structures on hyperbolic…

Geometric Topology · Mathematics 2012-08-29 Hansjörg Geiges , Jesús Gonzalo