Annalen der Physik

Cover image for Vol. 522 Issue 11

November 2010

Volume 522, Issue 11

Pages 781–856

  1. Cover Picture

    1. Top of page
    2. Cover Picture
    3. Contents
    4. Original Papers
    1. Cover Picture: Ann. Phys. 11/2010

      Article first published online: 13 OCT 2010 | DOI: 10.1002/andp.201090010

  2. Contents

    1. Top of page
    2. Cover Picture
    3. Contents
    4. Original Papers
    1. Contents: Ann. Phys. 11/2010 (pages 781–782)

      Article first published online: 13 OCT 2010 | DOI: 10.1002/andp.201052211

  3. Original Papers

    1. Top of page
    2. Cover Picture
    3. Contents
    4. Original Papers
    1. A categorical framework for quantum theory (pages 783–801)

      T. Filk and A. von Müller

      Article first published online: 17 SEP 2010 | DOI: 10.1002/andp.201000064

      Thumbnail image of graphical abstract

      Underlying any physical theory is a layer of conceptual frames. They connect the mathematical structures used in theoretical models with the phenomena, but they also constitute our fundamental assumptions about reality. Many of the discrepancies between quantum physics and classical physics (including Maxwell's electrodynamics and relativity) can be traced back to these categorical foundations. The article introduces the concept of a categorical apparatus (a framework of interdependent categories), explores the appropriate apparatus for classical and quantum theory, and elaborates in particular on the category of non-sequential time and an extended present which seems to be relevant for a quantum theory of (space)-time.

    2. Arbitrary ��-state solutions of the Klein-Gordon equation with the Pöschl-Teller potential (pages 802–806)

      G. Koçak and F. Taşkın

      Article first published online: 20 SEP 2010 | DOI: 10.1002/andp.201000031

      Within the framework of the Klein-Gordon equation, the relativistic bound states for the Pöschl-Teller potential are obtained for arbitrary angular momentum quantum numbers by using an approximation for the centrifugal term. The special case for equally scalar and vector Pöschl-Teller potential is studied. The energy eigenvalues are obtained in closed form and the corresponding normalized radial wave functions are expressed in terms of the generalized hypergeometric functions. The s-wave (�� = 0) case and bound state conditions are also investigated.

    3. Quantum particles from classical statistics (pages 807–848)

      C. Wetterich

      Article first published online: 5 OCT 2010 | DOI: 10.1002/andp.201000088

      Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being “classical” or “quantum” ceases to be a basic conceptual difference. The dynamics differs, however, between quantum and classical particles. The author describes position, motion and correlations of a quantum particle in terms of observables in a classical statistical ensemble. On the other side, he also constructs explicitly the quantum formalism with wave function and Hamiltonian for classical particles. For a suitable time evolution of the classical probabilities and a suitable choice of observables all features of a quantum particle in a potential can be derived from classical statistics, including interference and tunneling. Besides conceptual advances, the treatment of classical and quantum particles in a common formalism could lead to interesting cross-fertilization between classical statistics and quantum physics.

    4. Bulk and shear viscosity in Hagedorn fluid (pages 849–856)

      A. Tawfik and M. Wahba

      Article first published online: 17 SEP 2010 | DOI: 10.1002/andp.201000056

      Thumbnail image of graphical abstract

      Assuming that the Hagedorn fluid composed of known particles and resonances with masses m < 2 GeV obeys the first-order theory (Eckart) of relativistic fluid, the authors discuss the transport properties of QCD confined phase. Based on the relativistic kinetic theory formulated under the relaxation time approximation, expressions for bulk and shear viscosity in thermal medium of hadron resonances are derived. The relaxation time in the Hagedorn dynamical fluid exclusively takes into account the decay and eventually van der Waals processes. The authors comment on the in-medium thermal effects on bulk and shear viscosity and averaged relaxation time with and without the excluded-volume approach. As an application of these results, they suggest the dynamics of heavy-ion collisions, non-equilibrium thermodynamics and the cosmological models, which require thermo- and hydro-dynamics equations of state.

SEARCH

SEARCH BY CITATION