A transfer matrix method for the analysis of fractal quantum potentials

The scattering properties of quantum particles on fractal potentials at different stages of fractal growth are obtained by means of the transfer matrix method. This approach can be easily adopted for project assignments in introductory quantum mechanics for undergraduates. The reflection coefficients for both the fractal potential and the finite periodic potential are calculated and compared. It is shown that the reflection coefficient for the fractal has a self-similar structure associated with the fractal distribution of the potential

Delta excitation in K^+-nucleus collisions

We present calculations for \Delta excitation in the (K^+,K^+) reaction in nuclei. The background from quasielastic K^+ scattering in the \Delta region is also evaluated and shown to be quite small in some kinematical regions, so as to allow for a clean identification of the \Delta excitation strength. Nuclear effects tied to the \Delta renormalization in the nucleus are considered and the reaction is shown to provide new elements to enrich our knowledge of the \Delta properties in a nuclear medium.Comment: 11 pages, 6 figures, LaTe

Mechanism of Pion Production in alphaalphap Scattering at 1 GeV/nucleon

The one-pion and two-pion production in the p(alpha, alpha prime)X reaction at an energy of E{alpha} = 4.2 GeV has been studied by simultaneous registration of the scattered alpha particles and the secondary pion or proton. The obtained results demonstrate that the inelastic alpha-particle scattering on the proton at the energy of the experiment proceeds either through excitation and decay of Delta resonance in the projectile or through excitation in the target proton of the Roper resonance, which decays mainly on a nucleon and a pion or a nucleon and a sigma meson - system of two pions in the isospin I = 0, S-wave.Comment: 16 pages, 10 figures. Submitted to Proceedings of the XX International Baldin Seminar on High - Energy Physics Problems, Dubna, October 4 - 9, 201

Pure point diffraction and cut and project schemes for measures: The smooth case

We present cut and project formalism based on measures and continuous weight functions of sufficiently fast decay. The emerging measures are strongly almost periodic. The corresponding dynamical systems are compact groups and homomorphic images of the underlying torus. In particular, they are strictly ergodic with pure point spectrum and continuous eigenfunctions. Their diffraction can be calculated explicitly. Our results cover and extend corresponding earlier results on dense Dirac combs and continuous weight functions with compact support. They also mark a clear difference in terms of factor maps between the case of continuous and non-continuous weight functions.Comment: 30 page

Emergence from irreversibility

The emergent nature of quantum mechanics is shown to follow from a precise correspondence with the classical theory of irreversible thermodynamics. Specifically, the linear (or Gaussian) regime of the latter can be put in a 1-to-1 map with the semiclassical approximation to quantum mechanics. The very possibility of reinterpreting quantum mechanics as a thermodynamics proves that the former is an emergent phenomenon. That is, quantum mechanics is a coarse-grained description of some underlying degrees of freedom. © Published under licence by IOP Publishing Ltd.Fernández De Córdoba Castellá, PJ.; Isidro San Juan, JM.; Perea Córdoba, MH. (2013). Emergence from irreversibility. Journal of Physics: Conference Series. 442(012033). doi:10.1088/1742-6596/442/1/012033S442012033ACOSTA, D., FERNÁNDEZ DE CÓRDOBA, P., ISIDRO, J. M., & SANTANDER, J. L. G. (2012). AN ENTROPIC PICTURE OF EMERGENT QUANTUM MECHANICS. International Journal of Geometric Methods in Modern Physics, 09(05), 1250048. doi:10.1142/s021988781250048xAcosta, D., Cordóba, P. F. de, Isidro, J. M., & Santander, J. L. G. (2012). A holographic map of action onto entropy. Journal of Physics: Conference Series, 361, 012027. doi:10.1088/1742-6596/361/1/012027Blasone, M., Jizba, P., & Vitiello, G. (2001). Dissipation and quantization. Physics Letters A, 287(3-4), 205-210. doi:10.1016/s0375-9601(01)00474-1Blasone, M., Jizba, P., & Vitiello, G. (2003). Dissipation, Emergent Quantization, and Quantum Fluctuations. Lecture Notes in Physics, 151-163. doi:10.1007/978-3-540-40968-7_12Blasone, M., Jizba, P., & Kleinert, H. (2005). Quantum behavior of deterministic systems with information loss: Path integral approach. Annals of Physics, 320(2), 468-486. doi:10.1016/j.aop.2005.09.001Blasone, M., Jizba, P., & Scardigli, F. (2009). Can quantum mechanics be an emergent phenomenon? Journal of Physics: Conference Series, 174, 012034. doi:10.1088/1742-6596/174/1/012034Blasone, M., Jizba, P., Scardigli, F., & Vitiello, G. (2009). Dissipation and quantization for composite systems. Physics Letters A, 373(45), 4106-4112. doi:10.1016/j.physleta.2009.09.016Carroll, R. (2010). On the Emergence Theme of Physics. doi:10.1142/7568ELZE, H.-T. (2009). THE ATTRACTOR AND THE QUANTUM STATES. International Journal of Quantum Information, 07(supp01), 83-96. doi:10.1142/s0219749909004700Elze, H.-T. (2009). Does quantum mechanics tell an atomistic spacetime? Journal of Physics: Conference Series, 174, 012009. doi:10.1088/1742-6596/174/1/012009Elze, H.-T. (2012). Linear dynamics of quantum-classical hybrids. Physical Review A, 85(5). doi:10.1103/physreva.85.052109Elze, H.-T. (2012). Four questions for quantum-classical hybrid theory. Journal of Physics: Conference Series, 361, 012004. doi:10.1088/1742-6596/361/1/012004Faraggi, A. E., & Matone, M. (1998). Equivalence principle, Planck length and quantum Hamilton–Jacobi equation. Physics Letters B, 445(1-2), 77-81. doi:10.1016/s0370-2693(98)01484-1Grössing, G., Fussy, S., Pascasio, J. M., & Schwabl, H. (2012). The Quantum as an Emergent System. Journal of Physics: Conference Series, 361, 012008. doi:10.1088/1742-6596/361/1/012008Hooft, G. ’t. (1999). Quantum gravity as a dissipative deterministic system. Classical and Quantum Gravity, 16(10), 3263-3279. doi:10.1088/0264-9381/16/10/316Hooft, G. ’t. (2012). Quantum Mechanics from Classical Logic. Journal of Physics: Conference Series, 361, 012024. doi:10.1088/1742-6596/361/1/012024HU, B. L. (2011). GRAVITY AND NONEQUILIBRIUM THERMODYNAMICS OF CLASSICAL MATTER. International Journal of Modern Physics D, 20(05), 697-716. doi:10.1142/s0218271811019049Hu, B. L. (2009). Emergent/quantum gravity: macro/micro structures of spacetime. Journal of Physics: Conference Series, 174, 012015. doi:10.1088/1742-6596/174/1/012015Kiefer, C. (2010). Can Quantum Theory be Applied to the Universe as a Whole? Foundations of Physics, 40(9-10), 1410-1418. doi:10.1007/s10701-010-9441-3Onsager, L., & Machlup, S. (1953). Fluctuations and Irreversible Processes. Physical Review, 91(6), 1505-1512. doi:10.1103/physrev.91.1505Penrose, R. (2009). Black holes, quantum theory and cosmology. Journal of Physics: Conference Series, 174, 012001. doi:10.1088/1742-6596/174/1/012001Sakellariadou, M., Stabile, A., & Vitiello, G. (2012). Noncommutative spectral geometry, dissipation and the origin of quantization. Journal of Physics: Conference Series, 361, 012025. doi:10.1088/1742-6596/361/1/012025Wetterich, C. (2009). Emergence of quantum mechanics from classical statistics. Journal of Physics: Conference Series, 174, 012008. doi:10.1088/1742-6596/174/1/01200

Global existence for a system of non-linear and non-local transport equations describing the dynamics of dislocation densities

In this paper, we study the global in time existence problem for the Groma-Balogh model describing the dynamics of dislocation densities. This model is a two-dimensional model where the dislocation densities satisfy a system of transport equations such that the velocity vector field is the shear stress in the material, solving the equations of elasticity. This shear stress can be expressed as some Riesz transform of the dislocation densities. The main tool in the proof of this result is the existence of an entropy for this syste

Multiplicity and oscillations in a model for catalyzed oxidation of carbon monoxide

We extend a model proposed for explaining multiplicity and oscillations of concentrations and temperature in catalyzed oxidation of carbon monoxide; the importance of the dimension of the system and the closure approximation applied to the results, and, especially to the oscillatory behavior, is analyzed. Kinetic phase transitions, namely, single state multiplicity, single state oscillations, and multiplicity oscillations are found, depending on the reaction heat and the temperature relaxation parameter. Also, the role played by desorption of reactants is considered. When there is no desorption, temperature oscillations take place around room temperature, but if desorption is operative, oscillations occur about a higher temperature. For the one-dimensional case a spurious kinetic phase transition is obtained when the singlet closure approximation is appliedDirección General de Investigación Científica y Técnica PB91-060

Measurement of the Bottom-Strange Meson Mixing Phase in the Full CDF Data Set

We report a measurement of the bottom-strange meson mixing phase \beta_s using the time evolution of B0_s -> J/\psi (->\mu+\mu-) \phi (-> K+ K-) decays in which the quark-flavor content of the bottom-strange meson is identified at production. This measurement uses the full data set of proton-antiproton collisions at sqrt(s)= 1.96 TeV collected by the Collider Detector experiment at the Fermilab Tevatron, corresponding to 9.6 fb-1 of integrated luminosity. We report confidence regions in the two-dimensional space of \beta_s and the B0_s decay-width difference \Delta\Gamma_s, and measure \beta_s in [-\pi/2, -1.51] U [-0.06, 0.30] U [1.26, \pi/2] at the 68% confidence level, in agreement with the standard model expectation. Assuming the standard model value of \beta_s, we also determine \Delta\Gamma_s = 0.068 +- 0.026 (stat) +- 0.009 (syst) ps-1 and the mean B0_s lifetime, \tau_s = 1.528 +- 0.019 (stat) +- 0.009 (syst) ps, which are consistent and competitive with determinations by other experiments.Comment: 8 pages, 2 figures, Phys. Rev. Lett 109, 171802 (2012