© WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Volume 523, Issue 10
Article first published online: 19 SEP 2011 | DOI: 10.1002/andp.201190009
Article first published online: 19 SEP 2011 | DOI: 10.1002/andp.201152399
Article first published online: 19 SEP 2011 | DOI: 10.1002/andp.201152310
Article first published online: 21 JUN 2011 | DOI: 10.1002/andp.201100018
The author shows that the relativistic analogue of the Landau-He-McKellar-Wilkens quantization can be achieved through the noninertial effects of the Fermi-Walker reference frame without assuming the existence of a magnetic charge density and discuss the nonrelativistic limit of the energy levels. He also obtains the Dirac spinors for positive-energy values parallel and antiparallel to the z axis of the spacetime and obtain the Gordon decomposition of the Dirac probability current Jμ.
F.A. Serrano, M. Cruz-Irisson and S.-H. Dong
Article first published online: 21 JUN 2011 | DOI: 10.1002/andp.201000144
In this article, the authors present proper quantization rule, ∫k(x) dx - ∫k0(x) dx = nπ, where
and study solvable potentials. They find that the energy spectra of solvable systems can be calculated only from its ground state obtained by the Sturm-Liouville theorem. The previous complicated and tedious integral calculations involved in exact quantization rule are greatly simplified. The beauty and simplicity of proper quantization rule come from its meaning – whenever the number of the nodes of the logarithmic derivative ϕ(x) = ψ(x)-1dψ(x) /dx or the number of the nodes of the wave function ψ(x) increases by one, the momentum integral will increase by π. The authors apply two different quantization rules to carry out a few typically solvable quantum systems such as the one-dimensional harmonic oscillator, the Morse potential and its generalization as well as the asymmetrical trigonometric Scarf potential and show a great advantage of the proper quantization rule over the original exact quantization rule.
J. Hartung and J. Steinhoff
Article first published online: 5 JUL 2011 | DOI: 10.1002/andp.201100094
The authors present the next-to-next-to-leading order post-Newtonian (PN) spin-orbit Hamiltonian for two self-gravitating spinning compact objects. If at least one of the objects is rapidly rotating, then the corresponding interaction is comparable in strength to a 3.5PN effect. The result in the present paper in fact completes the knowledge of the post-Newtonian Hamiltonian for binary spinning black holes up to and including 3.5PN. The Hamiltonian is checked via known results for the test-spin case and via the global Poincaré algebra with the center-of-mass vector uniquely determined by an ansatz.
B.V. Budaev and D.B. Bogy
Article first published online: 29 JUN 2011 | DOI: 10.1002/andp.201100135
Planck's law of thermal radiation is limited to equilibrium systems that have a definite temperature and do not carry any heat flux. Here the authors extend it to steady-state systems with a constant heat flux. The obtained formulas explicitly describe the spectrum of thermal radiation in every direction and provide a sound basis for the self-consistent analysis of radiative heat transport across interfaces, gaps, layered and other important structures.
Article first published online: 29 JUN 2011 | DOI: 10.1002/andp.201100013
A recent assertion that inertial and gravitational forces are entropic forces is discussed. A more conventional approach is stressed herein, whereby entropy is treated as a result of relative motion between observers in different frames of reference. It is demonstrated that the entropy associated with inertial and gravitational forces is dependent upon the well known lapse function of general relativity. An interpretation of the temperature and entropy of an accelerating body is then developed, and used to relate the entropic force to Newton's second law of motion. The entropic force is also derived in general coordinates. An expression of the gravitational entropy of in-falling matter is then derived by way of Schwarzschild coordinates. As a final consideration, the entropy of a weakly gravitating matter distribution is shown to be proportional to the self-energy and the stress-energy-momentum content of the matter distribution.
M. Tessmer and G. Schäfer
Article first published online: 18 JUL 2011 | DOI: 10.1002/andp.201100007
The article provides full-analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi-analytical property of recent descriptions, i.e. the demand of inverting the higher-order Kepler equation numerically but keeping all other computations analytic, is avoided for the first time. The article is a completion of a previous one (M. Tessmer and G. Schäfer, Phys. Rev. D 82, 124064 (2010)) to second post-Newtonian (2PN) order in the harmonic GW amplitude and conservative orbital dynamics. A fully analytical inversion formula of the Kepler equation in harmonic coordinates is provided, as well as the analytic time Fourier expansion of trigonometric functions of the eccentric anomaly in terms of sines and cosines of the mean anomaly. Tail terms are not considered.
Article first published online: 19 SEP 2011 | DOI: 10.1002/andp.201110470
KCuF3 is the paradigmatic compound for the co-operative Jahn-Teller effect. But do we really know its structure?