Annalen der Physik

Cover image for Vol. 18 Issue 10‐11

October 2009

Volume 18, Issue 10-11

Pages 671–813

  1. Cover Picture

    1. Top of page
    2. Cover Picture
    3. Contents
    4. Review Article
    5. Original Papers
    6. Book Review
    7. 100 years ago
    1. Cover Picture: Ann. Phys. 10–11/2009

      Article first published online: 12 OCT 2009 | DOI: 10.1002/andp.200990010

  2. Contents

    1. Top of page
    2. Cover Picture
    3. Contents
    4. Review Article
    5. Original Papers
    6. Book Review
    7. 100 years ago
    1. Contents: Ann. Phys. 10–11/2009 (pages 671–674)

      Article first published online: 12 OCT 2009 | DOI: 10.1002/andp.200918010

  3. Review Article

    1. Top of page
    2. Cover Picture
    3. Contents
    4. Review Article
    5. Original Papers
    6. Book Review
    7. 100 years ago
    1. Thermal dynamics at surfaces (pages 675–698)

      H. Brune

      Article first published online: 5 OCT 2009 | DOI: 10.1002/andp.200910367

      Thumbnail image of graphical abstract

      The present paper describes what happens at the surface of a crystal as its temperature steadily increases from zero Kelvin close to the bulk melting temperature. We treat thermal motion, such as the diffusion of individual adatoms establishing mass transport, the formation of adatom or vacancy gases coexisting with islands or steps of the condensed phase, surface phonons and the anharmonicity of the surface potential being markedly different from the one in bulk, as well as thermally induced reconstructions, surface roughening, and finally surface melting, which usually well precedes bulk melting. The paper intends to give an overview with references to the original and review literature.

  4. Original Papers

    1. Top of page
    2. Cover Picture
    3. Contents
    4. Review Article
    5. Original Papers
    6. Book Review
    7. 100 years ago
    1. The “writing on the cosmic wall”: Is there a straightforward explanation of the cosmic microwave background? (pages 699–721)

      H.J. Fahr and J.H. Zönnchen

      Article first published online: 8 SEP 2009 | DOI: 10.1002/andp.200910365

      Thumbnail image of graphical abstract

      The Cosmic Microwave Background (CMB) is taken today as reflecting the thermodynamical state of the universe at these early cosmic times. Based on this assumption and standard cosmological principles meanwhile many fundamental cosmological facts have been deduced from the CMB state which, however, to some surprise reveal that the universe should be dominated by dark energy and dark matter, while for its energy content the usual baryonic matter is nearly negligible. Thus the question which we want to raise in this article is, whether this standard interpretation of the CMB phenomenon is solid and unequivocal enough to support the standard cosmological claims.

    2. Indefinite oscillators and black-hole evaporation (pages 722–735)

      C. Kiefer, J. Marto and P.V. Moniz

      Article first published online: 4 SEP 2009 | DOI: 10.1002/andp.200910366

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      We discuss the dynamics of two harmonic oscillators of which one has a negative kinetic term. This model mimics the Hamiltonian in quantum geometrodynamics, which possesses an indefinite kinetic term. We solve for the time evolution in both the uncoupled and coupled case. We use this setting as a toy model for studying some possible aspects of the final stage of black-hole evaporation. We assume that one oscillator mimics the black hole, while the other mimics Hawking radiation. In the uncoupled case, the negative term leads to a squeezing of the quantum state, while in the coupled case, which includes back reaction, we get a strong entangled state between the mimicked black hole and the radiation. We discuss the meaning of this state. We end by analyzing the limits of this model and its relation to more fundamental approaches.

    3. Approximate analytical solutions of the pseudospin symmetric Dirac equation for exponential-type potentials (pages 736–746)

      A. Arda, R. Sever and C. Tezcan

      Article first published online: 16 SEP 2009 | DOI: 10.1002/andp.200810368

      he solvability of The Dirac equation is studied for the exponential-type potentials with the pseudospin symmetry by using the parametric generalization of the Nikiforov–Uvarov method. The energy eigenvalue equation, and the corresponding Dirac spinors for Morse, Hulthen, and q-deformed Rosen–Morse potentials are obtained within the framework of an approximation to the spin-orbit coupling term, so the solutions are given for any value of the spin-orbit quantum number κ = 0, or κ ≠ 0.

    4. Improved analytical approximation to arbitrary l-state solutions of the Schrödinger equation for the hyperbolical potentials (pages 747–758)

      S.M. Ikhdair and R. Sever

      Article first published online: 16 SEP 2009 | DOI: 10.1002/andp.200910369

      The Schrödinger equation for the rotational-vibrational (ro-vibrational) motion of a diatomic molecule with empirical potential functions is solved approximately by means of the Nikiforov-Uvarov method. The approximate energy spectra and the corresponding normalized total wavefunctions are calculated in closed form and expressed in terms of the hypergeometric functions or Jacobi polynomials Pn(μ, ν) (x), where μ >−1, ν >−1 and x in [−1, +1]. The s-waves analytic solution is obtained. The numerical energy eigenvalues for selected H2 and Ar2 molecules are also calculated and compared with the previous models and experiments.

    5. Reduction of quantum fluctuations by anisotropy fields in Heisenberg ferro- and antiferromagnets (pages 759–782)

      B. Vogt and S. Kettemann

      Article first published online: 5 OCT 2009 | DOI: 10.1002/andp.200910371

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      The physical properties of quantum systems, which are described by the anisotropic Heisenberg model, are influenced by thermal as well as by quantum fluctuations. Such a quantum Heisenberg system can be profoundly changed towards a classical system by tuning two parameters, namely the total spin and the anisotropy field: Large easy-axis anisotropy fields, which drive the system towards the classical Ising model, as well as large spin quantum numbers suppress the quantum fluctuations and lead to a classical limit. We elucidate the incipience of this reduction of quantum fluctuations. In order to illustrate the resulting effects we determine the critical temperatures for ferro- and antiferromagnets and the ground state sublattice magnetization for antiferromagnets. The outcome depends on the dimension, the spin quantum number and the anisotropy field and is studied for a widespread range of these parameters.

    6. Manifestly covariant classical correlation dynamics I. General theory (pages 783–808)

      C. Tian

      Article first published online: 23 SEP 2009 | DOI: 10.1002/andp.200910370

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      In this series of papers we substantially extend investigations of Israel and Kandrup on nonequilibrium statistical mechanics in the framework of special relativity. This is the first one devoted to the general mathematical structure. Based on the action-at-a-distance formalism we obtain a single-time Liouville equation. This equation describes the manifestly covariant evolution of the distribution function of full classical many-body systems. For such global evolution the Bogoliubov functional assumption is justified. In particular, using the Balescu-Wallenborn projection operator approach we find that the distribution function of full many-body systems is completely determined by the reduced one-body distribution function. A manifestly covariant closed nonlinear equation satisfied by the reduced one-body distribution function is rigorously derived. We also discuss extensively the generalization to general relativity especially an application to self-gravitating systems.

  5. Book Review

    1. Top of page
    2. Cover Picture
    3. Contents
    4. Review Article
    5. Original Papers
    6. Book Review
    7. 100 years ago
    1. Book Review: “Introduction to General Relativity”, by Lewis Ryder (page 809)

      Milutin Blagojević

      Article first published online: 12 OCT 2009 | DOI: 10.1002/andp.200910372

  6. 100 years ago

    1. Top of page
    2. Cover Picture
    3. Contents
    4. Review Article
    5. Original Papers
    6. Book Review
    7. 100 years ago
    1. Annalen der Physik. Band 30 (pages 810–813)

      Article first published online: 12 OCT 2009 | DOI: 10.1002/andp.200990011

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      A closer look into the grand history of Annalen der Physik: themes which ccupied the minds of physicists one century ago

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