Ann. Phys. (Berlin) 19, No. 1 – 2, 1 – 4 (2010) / DOI 10.1002/andp.201019001 CONTENTS Full text on our homepage at www.ann-phys.org EDITORIAL Page 5 Ulrich Eckern Editorial ORIGINAL PAPERS Page 6 – 34 Roldão da Rocha and Waldyr A. Rodrigues Jr. Pair and impair, even and odd form fields, and electromagnetism In this paper after reviewing the Schouten and de Rham definition of impair and pair differential form fields (not to be confused with differential form fields of even and odd grades) we prove that in a relativistic spacetime it is possible (despite claims in contrary) to coherently formulate electromagnetism (and we believe any other physical theory) using only pair form fields or, if one wishes, using pair and impair form fields together, in an appropriate way. Those two distinct descriptions involve only a mathematical choice and do not seem to lead to any observable physical consequence if due care is taken. [. . . ] Page 35 – 44 Yakov Itin, Yuri N. Obukhov, and Friedrich W. Hehl An electric charge has no screw sense – a comment on the twistfree formulation of electrodynamics by da Rocha and Rodrigues Da Rocha and Rodigues (RR) claim (i) that in classical electrodynamics in vector calculus the distinction between polar and axial vectors and in exterior calculus between twisted and untwisted forms is inappropriate and superfluous, and (ii) that they can derive the Lorentz force equation from Maxwell’s equations. As to (i), we point out that the distinction of polar/axial and twisted/untwisted derives from the property of the electric charge of being a pure scalar, that is, not carrying any screw sense. Therefore, the mentioned distinctions are necessary ingredients in any fundamental theory of electrodynamics. [. . . ] As to (ii), the “derivation” of the Lorentz force from Maxwell’s equations, we point out that RR forgot to give the symbol F (the field strength) in Maxwell’s equations an operational meaning in the first place. Thus, their proof is empty. Summing up: the approach of RR does not bring in any new insight into the structure of electrodynamics. © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim 2 Page 45 – 52 Contents James M. Nester Normal frames for general connections At any point on a manifold certain normal frames that are well adapted to general connections are identified. For manifolds with metrics the series expansion terms for the metric/frame (second order) and the connection (first order) are specified. Some special cases as well as mathematical and physical applications are noted. Page 53 – 59 Günter Nimtz and Uwe Panten Broad band electromagnetic wave absorbers designed with nano-metal films In the thirties of the last century it was shown that nano-metal films have a frequency independent absorption in the far infrared regime and below. Moreover, the absorption A of these films is 0.5 and at the same time both reflection R and transmission T are 0.25, complying with the relation A + R + T = 1 at a sheet resistance Z of 60π Ω. The latter property of nano-metal films was shown by Woltersdorff in 1934. Multiple reflections between such films allow the design of low reflecting large scale absorbers for the wave length range from far infrared to low frequency radio waves. Experimental data of the novel absorber device measured in the GHz frequency range are presented. [. . . ] The article presents a brief review of the historical studies on free carrier electromagnetic wave absorption and on novel applications. Page 60 – 74 H. Schmidt and P. Wölfle Transport through a Kondo quantum dot: Functional RG approach 10 t We apply the functional renormalizat t tion group (FRG) method to calculate t 8 t t the conductance of a quantum dot in the 6 Kondo regime. Starting from the exact FRG equations in Keldysh formulation 4 for the Kondo exchange Hamiltonian in 2 pseudo-fermion (pf) representation, we solve the coupled equations for the pf 0 0.001 0.01 0.1 1 10 100 1000 self energy and the coupling function, Λ/TK neglecting three-particle and higher correlation functions. The conductance G as a function of temperature T and bias voltage V is calculated using a renormalized Golden Rule expression. The limiting behavior at T and/or V TK (TK : Kondo temperature) agrees with known results. The difficulties when approaching strong coupling are analyzed and improvements are suggested. = 111.8 = 22.1 = 9.8 = 4.4 = 1.9 = 1.3 Γ/TK T /TK T /TK T /TK T /TK T /TK T /TK © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.ann-phys.org Ann. Phys. (Berlin) 19, No. 1 – 2 (2010) Page 75 – 101 3 Chushun Tian Manifestly covariant classical correlation dynamics II. Transport equations and Hakim equilibrium conjecture This is the second of a series of papers on special relativistic (a) (b) classical statistical mechanics. Employing the general theory developed in the first paper, we derive rigorously the relativistic Vlasov, Landau, and (c) (d) Boltzmann equations, respectively. The latter two equations advocate the Jüttner distribution as the equilibrium distribution. We thus, at the fully microscopic level, provide support for the recent numerical findings of Cubero and co-workers of the special relativistic generalization of the Maxwell-Boltzmann distribution. Furthermore, the present theory allows us to calculate rigorously various correlation functions at the relativistic manybody equilibrium. Therefore, we demonstrate that the relativistic many-body equilibrium conjecture of Hakim is justified. Page 102 – 120 Josef Ludescher, Jochen Keller, Francesco Giacosa, and Ralf Hofmann Spatial Wilson loop in continuum, deconfining SU(2) Yang-Mills thermodynamics The uniquess of the effective −ln W[C] 2.5 actions describing 4D SU(2) and SU(3) continuum, infinite2.0 4T volume Yang-Mills thermo1.5 dynamics in their deconfining 3T and preconfining phases is 2T 1.0 made explicit. Subsequently, 0.5 the spatial string tension is τ∗[3 T ] τ∗[2Τ T ] computed in the approach 0 10 20 30 40 50 τ proposed by Korthals-Altes. This SU(2) calculation is based on a particular, effective two-loop correction to the pressure needed for the extraction of the hypothetic number density of isolated and screened magnetic monopoles or antimonopoles in the deconfining phase. By exponentiating the exchange of the tree-level massless but one-loop dressed mode within a quadratic spatial contour of side-length L in the effective theory we demonstrate that for L → ∞ the Wilson loop exhibits perimeter law. This is in contrast to a rigorous lattice result subject to the Wilson action and for this action valid at sufficiently high temperature. In the framework of the effective theory there is, however, a regime for small (spatially unresolved) L were the exponent of the spatial Wilson loop possesses curvature as a function of L. th γ c c c c www.ann-phys.org c © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim 4 Contents Page 121 – 127 Norbert Straumann A simple proof of the Kochen-Specker theorem on the problem of hidden variables In this contribution I present a simple derivation of an old result of Kochen and Specker, which is apparently unrelated to the famous work of Bell on hidden variables, but is presumably equally important. Kochen and Specker showed in 1967 that quantum mechanics cannot be embedded into a classical stochastic theory, provided the quantum theoretical probability distributions are reproduced and one additional highly desirable property is satisfied. This showed in a striking manner what were the difficulties in implementing the Einstein programme of a ‘complete’ version of quantum mechanics. Page 128 – 135 Ming Ju Chou and Herng Er Horng The quasiorder-disorder phase transition and peak effect in MgB2 type-II superconducting materials and thin films The peak effect and the quasiorder-disorder first-order phase transition for Magnesium diboride, MgB2 , superconducting bulk materials have been studied. The peak values of the critical current density Jc , and the exact peak positions together with its corresponding half-widths for a constant temperature as well as for a constant applied magnetic field have been calculated by considering the quantum, thermal as well as random fluctuations of the vortex lattice. The results for MgB2 bulk materials are in agreement with the experiment. The peak effect for MgB2 superconducting thin films is also predicted theoretically. The expected peak effect may be observed provided that doping or other experimental techniques are applied to improve the flux pinning of the MgB2 superconducting thin films. 100 YEARS AGO Page 136 – 139 A closer look into the grand history of Annalen der Physik: themes which occupied the minds of physicists one century ago. 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 © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim www.ann-phys.org

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