It turns out that such a distribution function can be defined only for a certain class of quantum states. These are referred to as the ‘classical states’ of the system under consideration. In the case of the harmonic oscillator, these are precisely the coherent states. For other classes of...
271Accesses Explore all metrics Abstract This work deals with the study on the oscillatory behavior of solutions to a class of nonlinear second-order functional differential equation with superlinear neutral terms. It presents new sufficient conditions that ensure the oscillation of all solutions under ...
structure of periodic solutions in which the leading term is still a Landau solution with label being the time average of the net force. When the body is moving in a time-periodic fashion, the pioneering work is the paper [23] by Galdi and Silvestre, who proved the existence of weak and...
To represent. July 2003 Chuck DiMarzio, Northeastern University ECEG105 & ECEU646 Optics for Engineers Course Notes Part 8: Gaussian Beams Prof. Charles A. Multiple interference Optics, Eugene Hecht, Chpt. 9. Spectral resolution LL2 section 49. Any arbitrary wave is a superposition o...
Notes Needless to say, the combination qq in the third term in (1) must be in a weak isosinglet combination, qq =\frac{1}{2} \epsilon ^{\alpha \beta } q_{\alpha }q_{\beta } = u_L d_L , where \alpha ,\beta = 1,2 are the weak SU(2) indices, while in the second te...
Fractions of preselected neutrino events of different types that are classified in the track class, the intermediate class, and the shower class, as a function of true neutrino energy. The definition of the classes is given in Eq.2. Coloured areas correspond to the composition of the atmospheric...
Versions Notes Abstract In this paper, we investigate the oscillatory behavior of solutions of second-order differential equations with a superlinear neutral term and a damping term in noncanonical forms. We do not place any additional conditions on the damping term. Therefore, our results apply to...
Versions Notes Abstract Rolling bearings operated at small oscillation angles or exposed to vibrations during standstill show typical damage after only a short period of operation. This can be false brinelling damage, so-called standstill marks or classic fretting damage (fretting corrosion, tribo-oxidat...
Versions Notes Abstract This paper addresses the subject of causality analysis using simulation data and data collected from a real control system. Simulated data includes Gaussian and Cauchy noise signals. Real-time series include various, mostly unknown distortions, like trends, oscillations, and noise...