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  • 1980-1984  (4)
  • 1975-1979  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 307 (1982), S. 167-174 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The two-dimensional Fokker-Planck equation describing the phase-space evolution of the reduced density matrixf(r, v; t) with respect to radial distancer and radial velocityv is numerically solved for various cases of inelastic heavy-ion collisions. A comparison of the exact solution with the global moment approach (GMA) used so far by several authors clearly shows that the GMA is not applicable for deeply inelastic collisions. A local moment approach (LMA) is proposed as an approximate solution to the Fokker-Planck equation.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 314 (1983), S. 309-316 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Time-dependent Hartree-Fock (TDHF) calculations for central collisions of86Kr on166Er are investigated with respect to quasi-stationary properties for various energies in the center-of-mass system. A quasi-stationary potential as well as quasi-stationary single-particle levels are extracted as functions of the relative distance between the two nuclei. A quantitative comparison with the diabatic two-center shell-model yields surprising agreement with the results from TDHF-calculations for both the nucleus-nucleus potential and the single-particle levels. From this we conclude that the approach phase of a nucleus-nucleus collision can be well described within a diabatic approximation for the single-particle motion.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 298 (1980), S. 129-141 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The quantal description of the relative motion of two complex nuclei is discussed on the basis of a Wigner transformed reduced von-Neumann equation which reduces to a transport equation of the Fokker-Planck type in the classical limit. For relative motion in three spatial dimensions a partial waves expansion of the reduced density operator leads to a set of equations for a matrix of quantal Wigner functionsρ ll′ ω (R, K) which decouple if angular momentum transfer is neglected. It is shown that the evolution inR-space of the radial momentum distributionsρ ll′ ω (R, K) is sufficiently well described by incorporating only statistical fluctuations, and that the effect of quantal fluctuations in the double differential cross sectiond 2 σ/dθdE is mainly due to the interference of the contributions from various partial waves. An application to the reaction40Ar→232Th atE lab=388 MeV based on the same nucleus-nucleus potential and the same transport coefficients as classical models shows that the coherent summation of the contributions of all partial waves reproduces in a natural way the large experimentally observed spreading in the Wilczynski plot in the quasi-elastic region.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 299 (1981), S. 359-366 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The quantal double differential cross-section averaged over micro channels is parametrized in a way that accounts for the transfer of radial momentum and orbital angular momentum of relative motion of two colliding heavy ions into intrinsic degrees of freedom. The formfactors introduced are related to the solutions of classical Fokker-Planck equations and to semiclassical approximations of the phase shifts. An application of the model to40Ar→232Th atE lab=388 MeV which is based on familiar classical friction models and contains no further parameters yields a cross sectiond 2 σ/dθ dE in good overall agreement with the experimental data.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 291 (1979), S. 339-346 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A partial integro-differential equation is formulated for the Wigner transform of the quantum mechanical reduced density operator describing the time evolution of a “macroscopic” coordinate under the influence of coupling to a large number of “intrinsic” degrees of freedom. The equation contains integral operators which lead to energy dissipation and diffusion and reduces to a transport equation of the Fokker-Planck type if the form factors in the integrands are treated in appropriate (harmonic) approximations. The stationary solution of the partial integro-differential equation is obtained numerically for scattering by a conservative potential and by a dissipative and diffusive scattering centre in one spatial dimension.
    Type of Medium: Electronic Resource
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