We demonstrate the existence and significance of diffractive orbits in an open microwave billiard, both experimentally and theoretically. Orbits that diffract off of a sharp edge strongly influence the conduction spectrum of this resonator, especially in the regime where there are no stable classical orbits. On resonance, the wavefunctions are influenced by both classical and diffractive orbits...

Every action of a group on a set decomposes the set into orbits. The group acts on each of the orbits and an orbit does not have sub-orbits (unequal orbits are disjoint), so the decomposition of a set into orbits could be considered as a “factorization” of the set into “irreducible” pieces for the group action. Our focus here is on these irreducible parts, namely group actions with a single orbit.

We determine the admissible nilpotent coadjoint orbits of real and p-adic split exceptional groups of types G2, F4, E6 and E7. We find that all Lusztig-Spaltenstein special orbits are admissible. Moreover, there exist nonspecial admissible orbits, corresponding to “completely odd” orbits in Lusztig’s special pieces. In addition, we determine the number of, and representatives for, the non-even ...

We consider the orbits of particles with spin in the Schwarzschild spacetime. Using the PapapetrouDixon equations of motion for spinning particles, we solve for the orbits and focus on those that exhibit chaos using both Poincaré maps and Lyapunov exponents. In particular, we develop a method for comparing the Lyapunov exponents of chaotic orbits. We find chaotic orbits for smaller spin values ...

We aim to provide satellite operators and researchers with an efficient means for evaluating mitigating collision risk during the design process of mega-constellations. first establish a baseline various techniques close-encounter prediction collision-probability calculation (Hoots et al. 1984, Gronchi 2005, JeongAhn Malhotra 2015) by carrying out brute-force numerical simulations using sequenc...

A useful crude approximation for Abelian functions is developed and applied to orbits. The bound orbits in the power-law potentials Ar take the simple form (l/r) = 1 + e cos(mφ), where k = 2 − α > 0 and l and e are generalisations of the semilatus-rectum and the eccentricity. m is given as a function of ‘eccentricity’. For nearly circular orbits m is √ k, while the above orbit becomes exact at ...

abstract awareness of consumer reasons during nutrition choice is very important, because this decision directly affect their health. since beef is one of the essential goods in consumer basket of goods of iranian households, exploring of factors that influence consumers purchase decisions and intentions toward imported frozen beefs in east azerbaijan province – tabriz city is the purpose of th...

background and objective: intraoperative consultation by frozen section is a high – risk procedure with important consequences. therefore, it is critical to determine efficiency of frozen section performance periodically. this study was performed to determine the accuracy of frozen section in urmia university of medical sciences. materials & methods:inthis cross sectional study, we compare...

Background: Currently, frozen embryo transfers contribute an increasing rate of births from assisted reproductive technologies such as in vitro fertilization (IVF). However, very few studies evaluated the neonatal outcomes from frozen embryo transfer. This study aimed to investigate and compare the neonatal outcomes from frozen embryo transfer versus fresh embryo transfers. Materials and Method...