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  • 1
    Electronic Resource
    Electronic Resource
    Painlevé test and exact similarity solutions of a class of nonlinear diffusion equations (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 2456-2463 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: For (1+1)-dimensional diffusion equations where the diffusion coefficient is an arbitrary power of the dependent variable, a Painlevé test is performed on both the partial differential equation and the similarity reductions. The invariance of the Painlevé property under a large class of similarity reductions is shown. For the reductions with the Painlevé property, the explicit similarity solutions are given. It is demonstrated how results of a Painlevé analysis can be used to obtain further exact similarity solutions, even in cases without the Painlevé property.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529615
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Efimov states for three 4He atoms? (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 3906-3912 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The system of three 4He atoms interacting through the intermolecular potential HFDHE2 is solved exactly within the Faddeev scheme. We find that the trimer has two bound states at E=−0.11 K and E=−0.16(−2) K, where the excited state shows the property of an Efimov state. It is overrun by the two-body fragmentation threshold for an artificially enhanced overall interaction strength. Uncertainties in the potential parameters, possibly combined with solvent effects, may allow a slightly weaker force, which supports a second Efimov state. In any case dynamical effects of the Efimov states will be the same whether it lies close to E=0 on the physical or unphysical sheet.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.450912
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Fractional relaxation and the time-temperature superposition principle (1994)
    Springer
    Rheologica acta 33 (1994), S. 337-343 
    Details
    ISSN: 1435-1528
    Keywords: Rheological models ; viscoelasticity ; fractional differentiation ; non-Debye relaxation ; thermo-rheological simplicity ; projection operator
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract Relaxation processes in complex systems like polymers or other viscoelastic materials can be described by equations containing fractional differential or integral operators. In order to give a physical motivation for fractional order equations, the fractional relaxation is discussed in the framework of statistical mechanics. We show that fractional relaxation represents a special type of a non-Markovian process. Assuming a separation condition and the validity of the thermo-rheological principle, stating that a change of the temperature only influences the time scale but not the rheological functional form, it is shown that a fractional operator equation for the underlying relaxation process results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00366960
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    A shell-model calculation in the continuum for the reaction N15(n, n′) N15 (1967)
    Springer
    The European physical journal 202 (1967), S. 301-320 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using the shell-model approach to nuclear reactions, the Lippmann-Schwinger equation for elastic and inelastic nucléon scattering is solved numerically. The procedure is based upon an adaptation of a method due toWeinberg. The differential and total elastic and inelastic cross-sections and the asymmetry of the scattering of a transversally polarised beam of neutrons are calculated. The positions (energies and total widths) and residues (partial widths) of the scattering matrix in the complex plane are determined. The results are discussed and compared with previous treatments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01331216
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    A model calculation in a new approach to the three-body problem (1973)
    Springer
    The European physical journal 258 (1973), S. 64-80 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A method to calculate the binding energy of a system of three identical particles is proposed. The kernel of a previously derived integral equation in two variables is replaced by an approximation of finite rank. It turns out that a one term approximation is already sufficient to determine the binding energy very well.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01392709
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  • 6
    Electronic Resource
    Electronic Resource
    R-matrix approach to the 3-body problem (1974)
    Springer
    The European physical journal 271 (1974), S. 31-37 
    Details
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The asymptotic form of the Faddeev amplitude in coordinate space is derived in various orders. This form and the structure of the Faddeev equations allow by aR-matrix method to establish a set of equations directly for the 3-body on-shellT-matrix elements. The procedure is equally well suited for local and nonlocal interactions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01676398
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  • 7
    Electronic Resource
    Electronic Resource
    Relativistic two-body bound state in motion (1992)
    Springer
    Few body systems 13 (1992), S. 1-10 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For an approximately relativistic Hamiltonian properties of a two-body bound state are investigated as a function of the total momentum. These are the relativistic energy-momentum relation for the bound-state energy eigenvalue, integral and local deformation properties of the bound-state wave function, and the weakly singular short-range behaviour.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01080206
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Energy dependence of nucleon-deuteron elastic scattering observables and its bearing on the3 P J nucleon-nucleon interactions (1992)
    Springer
    Few body systems 13 (1992), S. 11-18 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The energy dependence of neutron-deuteron elastic scattering observables has been calculated from 5 to 45 MeV via rigorous three-nucleon calculations using the Bonn B nucleon-nucleon interaction. The goal of these calculations was to identify energy and angular regions that may be investigated experimentally to study the question of charge-symmetry breaking in the3 P J nucleon-nucleon forces and/or Coulomb interactions. It was found that the measurement of the neutron-deuteron elastic analyzing power at 16 and 22.7 MeV and its comparison to proton-deuteron data obtained at the same incident energy is the most promising case for studying the issue of charge-symmetry breaking in the3 P J nucleon-nucleon forces and/or Coulomb interactions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01080207
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  • 9
    Electronic Resource
    Electronic Resource
    Momentum-space calculations for three-nucleon scattering including a three-nucleon force (1993)
    Springer
    Few body systems 14 (1993), S. 171-190 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The formalism to include a three-nucleon force into three-nucleon continuum calculations is presented. First numerical results, obtained in momentum space, are shown. The two- and three-nucleon forces have been restricted to act only in the1 S 0 and3 S 1-3 D 1 partial-wave states. As two-nucleon interaction the Bonn-B potential and as three-nucleon interaction the Tucson-Melbourne two-pion exchange model has been used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01080715
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  • 10
    Electronic Resource
    Electronic Resource
    Phase Shifts and Mixing Parameters for Elastic Neutron-Deuteron Scattering Above Breakup Threshold (1995)
    Springer
    Few body systems 19 (1995), S. 175-193 
    Details
    ISSN: 1432-5411
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. Complex eigenphases and mixing parameters for elastic n-d scattering above the breakup threshold are calculated. Faddeev equations are solved precisely using the Bonn-B NN potential. We point out defects in existing N-d phase-shift analyses. Peculiar energy variations in the mixing parameter η3/2− are shown to have no effect on observables and are simply an artifact of the S-matrix parametrization. It is shown, that the n-d analyzing power A y depends most sensitively on the three eigenphases δ1/2 3/2/1, δ2/3 3/2/1, and δ5/2 3/2/1, which again are predominantly generated by the 3 P j NN force components. Therefore a determination of those eigenphases from experimental data would help to constrain the 3 P j NN forces.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s006010050025
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