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Contents Ann. Phys. 112010

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Ann. Phys. (Berlin) 522, No. 11, 781 – 782 (2010) / DOI 10.1002/andp.201052211
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Page 783 – 801
Thomas Filk and Albrecht von Müller
A categorical framework for quantum theory
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 authors argue that classical physics corresponds to
the factual aspects of reality and requires a categorical framework which consists of four interdependent components: boolean logic, the linear-sequential
notion of time, the principle of sufficient reason, and the dichotomy between
observer and observed. None of these can be dropped without affecting the
others. 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.
Page 802 – 806
G. Koçak and F. Taşkın
Arbitrary -state solutions of the Klein-Gordon equation with the
Pöschl-Teller potential
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.
© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Page 807 – 848
C. Wetterich
Quantum particles from classical statistics
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.
Page 849 – 856
A. Tawfik and M. Wahba
Bulk and shear viscosity in Hagedorn fluid
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
KSS bound: 1/4π
confined phase. Based on the
relativistic kinetic theory for0.05
mulated under the relaxation
T [GeV]
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.
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© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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