This article introduces the notion of good labellings for asymptotic lattices in order to study joint spectra quantum integrable systems from point view inverse spectral theory. As an application, we consider a new quantity system, rotation number. In case two degrees freedom, obtain constructive algorithm detection appropriate eigenvalues, which use prove that, semiclassical limit, number can ...

This paper targets to search so-called good generators by doing a brief survey over the developed in history of pseudo-random number (PRNGs), verify their claims and rank them based on strong empirical tests same platforms. To do this, genre PRNGs so far are explored classified into three groups — linear congruential generator based, feedback shift register cellular automata based. From each gr...

The quantum state-counting phase space theory commonly used to describe ‘‘barrierless’’ dissociation is recast in a helicity basis to calculate photofragment v–j correlations. Counting pairs of fragment states with specific angular momentum projection numbers on the relative velocity provides a simple connection between angular momentum conservation and the v–j correlation, which is not so evid...

“The problem of distinguishing prime numbers from composite numbers, and of resolving the latter into their prime factors, is known to be one of the most important and useful in arithmetic,” Gauss wrote in his Disquisitiones Arithmeticae in 1801. “The dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.”...

Three new high-K multiquasiparticle intrinsic states, K5(29), K530, and K5(34), have been assigned in W. The configurations of these states are based on ten, eight, and ten, unpaired nucleons, respectively, and they represent the highest-seniority intrinsic K states observed to date. The g-ray intensity branching ratios and associated ugK2gRu values have been used to contribute to the specifica...