Ann. Phys. (Berlin) 523, No. 11, 867 – 870 (2011) / DOI 10.1002/andp.201152311 CONTENTS Full text on our homepage at www.ann-phys.org ORIGINAL ARTICLES Page 871 – 882 R. A. Frick Model of a relativistic oscillator in a generalized Schrödinger picture In a generalized Schrödinger picture, the authors consider the motion of a relativistic particle in an external field (like in the case of a harmonic oscillator). In this picture the analogs of the Schrödinger operators of the particle are independent of both the time and the space coordinates. These operators induce operators which are related to Killing vectors of the Anti de Sitter (AdS) space. The nonrelativistic limit is also considered Page 883 – 897 Armando V. D. B. Assis On the nature of a∗k ak and the emergence of the Born rule This paper is intended to show that a review in the concept of the game theoretical utility, the revised utility to be applied to the definition of the utility of a wave function representing an object subsystem relative to its observer subsystem, both within an isolated system, leads to the emergence of Max Born’s rule as a profit under a von Neumann good measure game. Page 898 – 909 Cleverson Filgueiras and Breno F. de Oliveira Electron on a cylinder with topological defects in a homogeneous magnetic field In this work the authors study the effects of the geometry and topology of a cylinder on the energy levels of an electron moving in a homogeneous magnetic field. They consider the existence of topological defects as a screw dislocation and a disclination. When they take the region of movement as the full cylindrical surface, they find that, by increasing the strength of the screw dislocation, the dispersion on the electronic energy levels is affected and monotonically increasing. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim 868 Page 910 – 918 Contents Knut Bakke, H. Belich, and E. O. Silva Relativistic Anandan quantum phase in the Lorentz violation background The authors study the influence of a classical background based on the violation of the Lorentz symmetry on the relativistic Anandan quantum phase. They show that the choice of the Lorentz symmetry violation background provides an abelian contribution for the relativistic Anandan quantum phase. Page 919 – 924 Johannes Hartung and Jan Steinhoff Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries The authors present the next-to-next-to-leading order post-Newtonian (PN) spin(1)-spin(2) Hamiltonian for two self-gravitating spinning compact objects. If both objects are rapidly rotating, then the corresponding interaction is comparable in strength to a 4PN effect. The Hamiltonian is checked via the global Poincaré algebra with the center-of-mass vector uniquely determined by an ansatz. Page 925 – 930 Rossen Dandoloff and Victor Atanasov Quantum anticentrifugal potential in a bent waveguide The authors show the existence of an anticentrifugal force for a quantum particle in a bent waveguide. This effect may be observed in interference experiments which are sensitive to the additional phase of the wavefunction gained in the bent regions and can find application in distinguishing between straight and bent geometries. Page 931 – 938 Shan Yu and Danko Nikolić Quantum mechanics needs no consciousness It has been suggested that consciousness plays an important role in quantum mechanics as it is necessary for the collapse of wave function during the measurement. Here the authors formulated several predictions that follow from this hypothetical relationship and that can be empirically tested. Experimental results that are already available suggest falsification of these predictions. Thus, the suggested link between human consciousness and collapse of wave function does not seem viable. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.ann-phys.org Ann. Phys. (Berlin) 523, No. 11 (2011) Page 939 – 945 869 S. Bruce, J. Diaz-Valdes, and M. D. Campos Neutron bound states in a supersymmetric double Dirac delta electrostatic potential The authors study neutron bound states in a particular (1 + 1)-supersymmetric configuration. A simple physical setup is chosen so that the effective interaction becomes a particular kind of double Dirac delta potential. In this configuration it is shown that the neutron distinguishes between positive and negative electric charge as a consequence of a purely quantum mechanical effect. The theoretical background is presented and a possible application to a real-life physical system is discussed. COMMENTS Page 946 – 950 Georg Feulner Comment on “Strong signature of the active Sun in 100 years of terrestrial insolation data” by W. Weber An analysis of ground-based observations of solar irradiance was recently published in this journal, reporting an apparent increase of solar irradiance on the ground of the order of 1% between solar minima and maxima. Since the corresponding variations in total solar irradiance on top of the atmosphere are accurately determined from satellite observations to be of the order of 0.1% only, the one order of magnitude stronger effect in the terrestrial insolation data was interpreted as evidence for cosmic-ray induced aerosol formation in the atmosphere. In the author’s opinion, however, this result does not reflect reality. Using the energy budget of Earth’s surface, he shows that changes of ground-based insolation with the solar cycle of the order of 1% between solar minima and maxima would result in large surface air temperature variations which are inconsistent with the instrumental record. It would appear that the strong variations of terrestrial irradiance found by Weber are due to the uncorrected effects of volcanic or local aerosols and seasonal variations. Taking these effects into account, the author finds a variation of terrestrial insolation with solar activity which is of the same order as the one measured from space, bringing the surface energy budget into agreement with the solar signal detected in temperature data. www.ann-phys.org © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim 870 Contents Page 951 – 956 Werner Weber Reply to the Comment of G. Feulner In his reply the author present a reanalysis of the data of the Smithsonian Astrophysical Observatory (SAO). For this, a new data reduction method is introduced, allowing a drastic lowering of data scatter, so that the time series of the reduced data clearly shows the ≈ 1% variation of the terrestric solar irradiance in parallel with solar activity. The implications are discussed. 1400 TSI 1350 1300 100 Terr. Irradiance 1100 1050 1000 I I 50 0 950 -50 1100 Irradiance scatter function 900 0 20 40 60 80 100 120 Wolf Number R 140 160 180 Red. Irradiance Tot. Solar Irradiance Trend Curves of Irradiance vs. Solar Activity I 1050 1000 950 900 200 ERRATUM Page 957 A. Cantarero, A. Cros, N. Garro, M. I. Gómez-Gómez, A. García-Cristóbal, M. M. de Lima Jr., B. Daudin, A. Rizzi, C. Denker, and J. Malindretos Optical properties of nitride nanostructures [Ann. Phys. (Berlin) 523, 51 (2011)] The set of InN nanocolumn samples discussed in the article was not grown using Au as a catalyst. Instead, the growth was performed catalyst-free by plasma-assisted molecular beam epitaxy. Annalen der Physik is indexed in Chemical Abstracts Service/SciFinder, COMPENDEX, Current Contents®/Physical, Chemical & Earth Sciences, FIZ Karlsruhe Databases, INIS: International Nuclear Information System Database, INSPEC, Journal Citation Reports/Science Edition, Science Citation Index Expanded™, Science Citation Index® , SCOPUS, Statistical Theory & Method Abstracts, VINITI, Web of Science® , Zentralblatt MATH/Mathematics Abstracts Recognized by the European Physical Society © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.ann-phys.org

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