Negative Energy Solutions and Symmetries

We revisit the negative energy solutions of the Dirac equation, which become relevant at very high energies and study several symmetries which follow therefrom. The consequences are briefly examined.Comment: 11 pages, Late

The Search and Study of the Baryonic Resonances with the Strangeness S = +1 in the System of nK+ from the Reaction np -> npK+K- at the Momentum of Incident Neutrons Pn = (5.20+/-0.12)GeV/c

The production and properties of the resonances with the strangeness S = +1 in the system of nK+ were studied in the reaction np -> npK+K- at the momentum of incident neutrons Pn = (5.20+/-0.12)GeV/c. A number of peculiarities was found in the effective mass spectrum of the mentioned above system. All these resonances have a large statistical significance. Their widths are comparable with the mass resolution. The estimation of the spins of resonances was carried out and the rotational band connecting the resonances masses and their spins was constructed.Comment: 13 pages, 8 figures, 3 tables; These results were partially presented at the 32nd International Conference on High Energy Physics, Beijing, China, 16-22 August 200

Quadrature entanglement and photon-number correlations accompanied by phase-locking

We investigate quantum properties of phase-locked light beams generated in a nondegenerate optical parametric oscillator (NOPO) with an intracavity waveplate. This investigation continuous our previous analysis presented in Phys.Rev.A 69, 05814 (2004), and involves problems of continuous-variable quadrature entanglement in the spectral domain, photon-number correlations as well as the signatures of phase-locking in the Wigner function. We study the role of phase-localizing processes on the quantum correlation effects. The peculiarities of phase-locked NOPO in the self-pulsing instability operational regime are also cleared up. The results are obtained in both the P-representation as a quantum-mechanical calculation in the framework of stochastic equations of motion, and also by using numerical simulation based on the method of quantum state diffusion.Comment: Subm. to PR

On Quadrirational Yang-Baxter Maps

We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain singularity invariance condition. This leads to some new families of Yang-Baxter maps corresponding to the geometric symmetries of pencils of quadrics.Comment: Proceedings of the workshop "Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems" (Glasgow, March-April 2009