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Contents Ann. Phys. 1Ц22010

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Ann. Phys. (Berlin) 19, No. 1 – 2, 1 – 4 (2010) / DOI 10.1002/andp.201019001
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Page 5
Ulrich Eckern
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
Page 45 – 52
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
We apply the functional renormalizat
tion group (FRG) method to calculate
the conductance of a quantum dot in the
Kondo regime. Starting from the exact
FRG equations in Keldysh formulation
for the Kondo exchange Hamiltonian in
pseudo-fermion (pf) representation, we
solve the coupled equations for the pf
0.001 0.01
self energy and the coupling function,
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
© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Ann. Phys. (Berlin) 19, No. 1 – 2 (2010)
Page 75 – 101
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
classical statistical mechanics.
Employing the general theory
developed in the first paper,
we derive rigorously the relativistic Vlasov, Landau, and
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
The uniquess of the effective
−ln W[C]
actions describing 4D SU(2)
and SU(3) continuum, infinite2.0
volume Yang-Mills thermo1.5
dynamics in their deconfining
and preconfining phases is
made explicit. Subsequently,
the spatial string tension is
τ∗[3 T ]
T ]
computed in the approach
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.
© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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.
Page 136 – 139
A closer look into the grand history of
Annalen der Physik: themes which
occupied the minds of physicists one
century ago.
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© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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