Annalen der Physik

Cover image for Vol. 523 Issue 7

July 2011

Volume 523, Issue 7

Pages 505–581

  1. Cover Picture

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Original Papers
    6. Comments
    1. Cover Picture: Ann. Phys. 7/2011

      Article first published online: 28 JUN 2011 | DOI: 10.1002/andp.201190007

  2. Issue Information

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Original Papers
    6. Comments
    1. Issue Information: Ann. Phys. 7/2011

      Article first published online: 28 JUN 2011 | DOI: 10.1002/andp.201152397

  3. Contents

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Original Papers
    6. Comments
    1. Contents: Ann. Phys. 7/2011 (pages 505–506)

      Article first published online: 28 JUN 2011 | DOI: 10.1002/andp.201152307

  4. Original Papers

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Original Papers
    6. Comments
    1. Weyl geometric gravity and electroweak symmetry “breaking” (pages 507–530)

      E. Scholz

      Article first published online: 30 MAY 2011 | DOI: 10.1002/andp.201100032

      A Weyl geometric scale covariant approach to gravity due to Omote, Dirac, and Utiyama (1971ff) is reconsidered. It can be extended to the electroweak sector of elementary particle fields, taking into account their basic scaling freedom. Already Cheng (1988) indicated that electroweak symmetry breaking, usually attributed to the Higgs field with a boson expected at 0.1–0.3 TeV, may be due to a coupling between Weyl geometric gravity and electroweak interactions. Weyl geometry seems to be well suited for treating questions of elementary particle physics, which relate to scale invariance and its “breaking'”. This setting suggests the existence of a scalar field boson at the surprisingly low energy of ∼ 1 eV. That may appear unlikely; but, as a payoff, the acquirement of mass arises as a result of coupling to gravity in agreement with the understanding of mass as the gravitational charge of fields.

    2. A non-uniqueness problem of the Dirac theory in a curved spacetime (pages 531–551)

      M. Arminjon and F. Reifler

      Article first published online: 28 JUN 2011 | DOI: 10.1002/andp.201100060

      The Dirac equation in a curved spacetime depends on a field of coefficients (essentially the Dirac matrices), for which a continuum of different choices are possible. The authors study the conditions under which a change of the coefficient fields leads to an equivalent Hamiltonian operator H, or to an equivalent energy operator E. The authors do that for the standard version of the gravitational Dirac equation, and for two alternative equations based on the tensor representation of the Dirac fields. The latter equations may be defined when the spacetime is four-dimensional, noncompact, and admits a spinor structure. The authors find that, for each among the three versions of the equation, the vast majority of the possible coefficient changes do not lead to an equivalent operator H, nor to an equivalent operator E, whence a lack of uniqueness. In particular, we prove that the Dirac energy spectrum is not unique. This non-uniqueness of the energy spectrum comes from an effect of the choice of coefficients, and applies in any given coordinates.

    3. Relaxation of ideal classical particles in a one-dimensional box (pages 552–565)

      F. Gebhard and K. zu Münster

      Article first published online: 15 JUN 2011 | DOI: 10.1002/andp.201100080

      Thumbnail image of graphical abstract

      The authors study the deterministic dynamics of non-interacting classical gas particles confined to a one-dimensional box as a pedagogical toy model for the relaxation of the Boltzmann distribution towards equilibrium.

    4. Cornell and Coulomb interactions for the D-dimensional Klein-Gordon equation (pages 566–575)

      H. Hassanabadi, H. Rahimov and S. Zarrinkamar

      Article first published online: 15 JUN 2011 | DOI: 10.1002/andp.201000165

      Thumbnail image of graphical abstract

      The authors investigate the D-dimensional Klein-Gordon equation in the presence of both Coulomb and Cornell potentials by quasi-exact methodology. Closed form of eigenfunctions is reported and the energy behavior for different states is numerically discussed.

  5. Comments

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Original Papers
    6. Comments
    1. Comments on a paper by B. Schulz about Bell's inequalities (pages 576–579)

      I. Schmelzer

      Article first published online: 16 NOV 2010 | DOI: 10.1002/andp.201010462

      Schulz claims to have constructed an actively local stochastic theory which violates Bell's inequality. This is false.

    2. A theoretical approach to iron-based superconductors (pages 580–581)

      A.H. Romero and M.J. Verstraete

      Article first published online: 28 JUN 2011 | DOI: 10.1002/andp.201110469

SEARCH

SEARCH BY CITATION