Periodic Chaotic Billiards: Quantum-Classical Correspondence in Energy Space

We investigate the properties of eigenstates and local density of states (LDOS) for a periodic 2D rippled billiard, focusing on their quantum-classical correspondence in energy representation. To construct the classical counterparts of LDOS and the structure of eigenstates (SES), the effects of the boundary are first incorporated (via a canonical transformation) into an effective potential, rendering the one-particle motion in the 2D rippled billiard equivalent to that of two-interacting particles in 1D geometry. We show that classical counterparts of SES and LDOS in the case of strong chaotic motion reveal quite a good correspondence with the quantum quantities. We also show that the main features of the SES and LDOS can be explained in terms of the underlying classical dynamics, in particular of certain periodic orbits. On the other hand, statistical properties of eigenstates and LDOS turn out to be different from those prescribed by random matrix theory. We discuss the quantum effects responsible for the non-ergodic character of the eigenstates and individual LDOS that seem to be generic for this type of billiards with a large number of transverse channels.Comment: 13 pages, 18 figure

Chaotic Waveguide-Based Resonators for Microlasers

We propose the construction of highly directional emission microlasers using two-dimensional high-index semiconductor waveguides as {\it open} resonators. The prototype waveguide is formed by two collinear leads connected to a cavity of certain shape. The proposed lasing mechanism requires that the shape of the cavity yield mixed chaotic ray dynamics so as to have the appropiate (phase space) resonance islands. These islands allow, via Heisenberg's uncertainty principle, the appearance of quasi bound states (QBS) which, in turn, propitiate the lasing mechanism. The energy values of the QBS are found through the solution of the Helmholtz equation. We use classical ray dynamics to predict the direction and intensity of the lasing produced by such open resonators for typical values of the index of refraction.Comment: 5 pages, 5 figure

Implications of genotype and amino acid sup-ply on pork quality

An experiment was conducted to evaluate the effect of different feeding regimes and genotypes on growth performance, carcass characteristics, composition and eating quality of pork under organic framework conditions. 198 individually housed pigs of 4 genotypes were allocated to three dietary treatments. Feeding regimes differed in relation to the supply of limiting amino acids (AA). The genotypes used were Pi x (DL x DE); Du x DL, Pi x German Swabian Hall (Pi x SH) and pure SH breed. While Pi x (DL x DE) pigs showed the highest carcass yields, pigs of the genotype Du x DL achieved higher values in dlwg and in meat composition compared to the other genotypes. Performance traits were significantly influenced by the feeding regime. Lean meat percentage and area of M.l.d. were significantly lower when a diet reduced in limited amino acids compared to the control treat-ment was fed. Backfat thickness was not influenced by the feeding regime. However, intramuscular fat content clearly increased when a diet without AA supplementation was fed. The results indicate that the limited availability of high quality feedstuffs in organic farming does not impair but improve the preconditions to produce pork of high eating quality