A Holstein-Primakoff and a Dyson realization for the quantum algebra Uq[sl(n+1)]U_q[sl(n+1)]

The known Holstein-Primakoff and Dyson realizations of the Lie algebra $sl(n+1), n=1,2,...$ in terms of Bose operators (Okubo S 1975 J. Math. Phys. 16 528) are generalized to the class of the quantum algebras $U_q[sl(n+1)]$ for any $n$. It is shown how the elements of $U_q[sl(n+1)]$ can be expressed via $n$ pairs of Bose creation and annihilation operators.Comment: 5 pages, Te

Study on Decays of DsJ∗(2317)D_{sJ}^{*}(2317) and DsJ(2460)D_{sJ}(2460) in terms of the CQM Model

Based on the assumption that $D_{sJ}^{*}(2317)$ and $D_{sJ}(2460)$ are the $(0^+, 1^+)$ chiral partners of $D_{s}$ and $D^*_s$, we evaluate the strong pionic and radiative decays of $D_{sJ}^{*}(2317)$ and $D_{sJ}(2460)$ in the Constituent Quark Meson (CQM) model. Our numerical results of the relative ratios of the decay widths are reasonably consistent with data.Comment: 12 pages, 2 figures, 4 tables, a few references adde

Rare Events Statistics in Reaction--Diffusion Systems

We develop an efficient method to calculate probabilities of large deviations from the typical behavior (rare events) in reaction--diffusion systems. The method is based on a semiclassical treatment of underlying "quantum" Hamiltonian, encoding the system's evolution. To this end we formulate corresponding canonical dynamical system and investigate its phase portrait. The method is presented for a number of pedagogical examples.Comment: 12 pages, 6 figure

Machine Learning Assisted Characterization of Labyrinthine Pattern Transitions

We present a comprehensive approach to characterizing labyrinthine structures that often emerge as a final steady state in pattern forming systems. We employ machine learning based pattern recognition techniques to identify the types and locations of topological defects of the local stripe ordering to augment conventional Fourier analysis. A pair distribution function analysis of the topological defects reveals subtle differences between labyrinthine structures which are beyond the conventional characterization methods. We utilize our approach to highlight a clear morphological transition between two zero-field labyrinthine structures in single crystal Bi substituted Yttrium Iron Garnet films. An energy landscape picture is proposed to understand the athermal dynamics that governs the observed morphological transition. Our work demonstrates that machine learning based recognition techniques enable novel studies of rich and complex labyrinthine type structures universal to many pattern formation systems

Analytic calculation of nonadiabatic transition probabilities from monodromy of differential equations

The nonadiabatic transition probabilities in the two-level systems are calculated analytically by using the monodromy matrix determining the global feature of the underlying differential equation. We study the time-dependent 2x2 Hamiltonian with the tanh-type plus sech-type energy difference and with constant off-diagonal elements as an example to show the efficiency of the monodromy approach. The application of this method to multi-level systems is also discussed.Comment: 13 pages, 2 figure

Electromyographic and Kinematic Trunk Analysis of Boxing during a Dominate Straight Punch

The purpose of this study was to compare the surface electro myogram of trunk muscle activity and the three-dimensional kinematics of the trunk between experienced and novice boxers during straight punch with the rear arm. Fifteen university-age males participated in the study. Participants were ranked as experienced (n=8) or novice (n=7). The straight punch was broken into three phases as Preliminary Movements (PM), Thrown Punch (TP), and Returned Punch (RP). The surface electro myogram captured the activity of the rectus abdominis, external oblique, deltoid, and rectus femoris on the dominant side and the internal oblique-transversus abdominis (IO-TrA) and multifidus on both sides. Three-dimensional motion analysis was performed to calculate the horizontal angle of the Acromial line, the ASIS line and the Greater Trochanter of the femur (GT) line. Results of the surface electro myogram of the IO-TrA on the non-dominant side of the novice group during the PM phase were significantly higher than those of the experienced (p<0.05). Similarly, the IO-TrA of the dominant side of the novice during the TP phase were significantly higher than that of the experienced (p<0.05). In motion analysis, the ASIS line and the GT line were significantly greater in the experienced group compared with the novice (p<0.05). The novice group did not allow the entire trunk to rotate, but rather twisted the thoracolumbar vertebrae to throw the punch. Trunk rotation, not trunk twist, is important to the execution of the straight punch

Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators

We construct invariant differential operators acting on sections of vector bundles of densities over a smooth manifold without using a Riemannian metric. The spectral invariants of such operators are invariant under both the diffeomorphisms and the gauge transformations and can be used to induce a new theory of gravitation. It can be viewed as a matrix generalization of Einstein general relativity that reproduces the standard Einstein theory in the weak deformation limit. Relations with various mathematical constructions such as Finsler geometry and Hodge-de Rham theory are discussed.Comment: Version accepted by J. High Energy Phys. Introduction and Discussion significantly expanded. References added and updated. (41 pages, LaTeX: JHEP3 class, no figures