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  • 1
    Electronic Resource
    Electronic Resource
    Renormalization group and high-temperature series for the two-dimensional ising model (1984)
    Springer
    The European physical journal 54 (1984), S. 333-350 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We employ high-temperature series to investigate a two-parameter class of renormalization group transformations for the two-dimensional Ising model on the triangular lattice. For the static case we identify an optimal organization of the high-temperature expansion and an optimal transformation matrix and thus find, in second order, ν=0.96 and the magnetic eigenvaluey=2-η/2=1.76. From recursion relations for flip rates we find the dynamic exponent to be the same for all transformations in our two-parameter class,z=2.32. Our fixed-point flip rates do not describe a Markov process even though the corresponding master equation for the single-event probability displays no explicit memory effects. The non-Markovian nature shows up only in a violation of the Markovian detailed balance conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01485831
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The irrelevance of detailed balance for the dynamical critical exponent (1984)
    Springer
    The European physical journal 55 (1984), S. 211-218 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We construct the most general real space renormalization for the two-dimensional kinetic Ising model on the triangular lattice which, to second order in the high-temperature expansion, conserves detailed balance and avoids fast transients for the cell spins. We show the corresponding dynamical recursion relations (as well as the exponentz) to be unaltered with respect to the ones found, in a previous paper, for a completely different class of transformations. This finding resolves long-standing confusions and controversies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01329013
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Two Cold Atoms in a Harmonic Trap (1998)
    Springer
    Foundations of physics 28 (1998), S. 549-559 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Two ultracold atoms moving in a trap interact weakly at a very short distance. This interaction can be modeled by a properly regularized contact potential. We solve the corresponding time-independent Schrödinger equation under the assumption of a parabolic, spherically symmetric trapping potential.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018705520999
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Quasiprobabilities based on squeezed states (1988)
    Springer
    Journal of statistical physics 53 (1988), S. 345-360 
    Details
    ISSN: 1572-9613
    Keywords: Quasiprobabilities ; convolution identities ; squeezed states ; coherent states ; subharmonic generation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We introduce quasiprobabilities based on the so-called squeezed states to represent the density operator of an oscillator. Such representations become especially useful for oscillators designed to display, strong excitation notwithstanding, pronounced quantum features such as squeezing of the quantum fluctuations of certain observables below the limit characteristic of coherent states.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011561
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    Paper (German National Licenses)
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