– We modify the pre-factor of the semiclassical propagator to improve its efficiency in practical implementations. The new pre-factor represents the smooth portion of an orbit’s contribution, and leads to fast convergence in numerical calculations. As an illustration of the accuracy and efficiency of the resultant propagator, we numerically calculate overlaps between quantum and semiclassical w...

It is shown that the complex phase of Feynman propagator a solution quantum Hamilton–Jacobi equation, namely, it Hamilton's principal function (or action). Therefore, can be computed either by means path integration, or way equation. This analogous to what happens in classical mechanics, where integrating Lagrangian along extremal paths, as partial differential namely If decomposed one and fluc...

— Low temperature magnetization and resistivity measurements in the dilute Tm^Y! _JSe system show both Tm 2 + and Tm 3 + like behavior. However, since the results are nearly linear with concentration, they apparently reflect the properties of each thulium site. This paper presents a new approach to the TmSe mixed valence problem [1]. The idea is to build up the rather complex properties of the ...

The usual proofs of these three classical theorems are based on the sequences bn, An and Bn, where Zn = An/Bn, and the three-term recurrence relations for An and Bn. Our aim is to unify and generalise these results by giving new, geometric, proofs (apart from the elementary monotonicity statement, and subsequent convergence, in Theorem 1.1). First, however, we restate these three results (again...

In this article, we apply the two-mode vibronic model to study of dimeric molecular mixed-valence cell for quantum cellular automata. As such, consider a multielectron mixed valence binuclear d2?d1–type cluster, in which double exchange, as well Heisenberg-Dirac-Van Vleck exchange interactions are operative, and also local (“breathing”) intercenter vibrational modes taken into account. The calc...

The Multics (Multiplexed Information and Computing Service) operating system occupies an important place in the history of software, yet has received little attention from historians. In most accounts it is a mere footnote—the inspiration for the far better known UNIX operating system. Nothing has been written on its actual usage. However, Multics veterans are determined to change this. Under t...