a linear superposition method was used for modeling the time history of the production blast vibrations and optimizing the blast sequence to reduce vibration levels in sar-cheshmeh copper mine, kerman, iran. a single-hole blast for modeling and two double-hole blasts with time delays of 25 and 65 ms between two holes for modeling validation were carried out. the generated vibrations were measur...

For quantum lattice systems with local interactions, the Lieb-Robinson bound serves as an alternative for the strict causality of relativistic systems and allows the proof of many interesting results, in particular, when the energy spectrum exhibits an energy gap. In this Letter, we show that for translation invariant systems, simultaneous eigenstates of energy and momentum with an eigenvalue t...

We analyze the recently proposed mirror superposition experiment of Marshall, Simon, Penrose, and Bouwmeester, assuming that the mirror's dynamics contains a nonunitary term of the Lindblad-type proportional to -[q,[q,rho]], with q the position operator for the center of mass of the mirror, and rho the statistical operator. We derive an exact formula for the fringe visibility for this system. W...

In communiations engineering, the effect of a slowly time-varying communication channel is commonly modeled as a superposition of different translations and modulations. In order to recover signals from the corresponding channel outputs, one first needs to understand how the channel acts on a signal. A mathematical model often used for the effect of such a channel is an operator with a bandlimi...

In the realm of quantum theory a state of a physical system is most generally expressed by its density operator ˆ̺. Knowledge of this operator gives complete information of the quantum state. Schemes have been proposed in a number of fields in quantum physics to determine ˆ̺ from measurements either explicitely [1,2,3,4,5,6,7] or indirectly via quasiprobability distributions [8,9,10,11] for mixed...

Homodyne measurements are a widely used quantum measurement. Using coherent state of large amplitude as the local oscillator, it can be shown that homodyne measurement limits to field quadrature In this work, we give an example general idea: injecting non-classical states oscillator led measurements. Specifically consider superposition states, Schr\"odinger cat state, oscillator. We derive Krau...

There exist local search landscapes where the evaluation function is an eigenfunction of the graph Laplacian that corresponds to the neighborhood structure of the search space. Problems that display this structure are called “Elementary Landscapes” and they have a number of special mathematical properties. The term “Quasi-elementary landscapes” is introduced to describe landscapes that are “alm...

We develop a semismoothness concept for nonsmooth superposition operators in function spaces. The considered class of operators includes NCP-function-based reformulations of infinite-dimensional nonlinear complementarity problems, and thus covers a very comprehensive class of applications. Our results generalize semismoothness and -order semismoothness from finite-dimensional spaces to a Banach...