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  • 1
    Electronic Resource
    Electronic Resource
    Electrochemical impedance spectroscopy of small Ni−Cd sealed batteries: Application to state of charge determinations (1992)
    Springer
    Journal of applied electrochemistry 22 (1992), S. 1121-1128 
    Details
    ISSN: 1572-8838
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Electrical Engineering, Measurement and Control Technology
    Notes: Abstract Electrochemical impedance spectroscopy measurements have been carried out using small 0.85 A h cylindrical sealed cells at various states of charge. Evolution of impedance as a function of the charge or discharge current has been studied in the 0–0.85 A range and a method which allows an approximate state of charge to be determined has been developed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01297412
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  • 2
    Electronic Resource
    Electronic Resource
    New estimates on the number of bound states of Schrödinger operators (1987)
    Springer
    Letters in mathematical physics 14 (1987), S. 215-225 
    Details
    ISSN: 1573-0530
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In this Letter we prove inequalities on the number of bound states of Schrödinger operators by improving the method of Li and Yau relying on heat kernel estimates by Sobolev inequalities. We extend the range of applications and obtain better estimates. In particular, our technique yields a simple proof of Bargmann's bound and very good numerical values.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00416851
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  • 3
    Electronic Resource
    Electronic Resource
    What Can One Learn About Self-Organized Criticality from Dynamical Systems Theory? (2000)
    Springer
    Journal of statistical physics 98 (2000), S. 375-404 
    Details
    ISSN: 1572-9613
    Keywords: self-organized criticality ; hyperbolic dynamical systems ; iterated functions systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We develop a dynamical system approach for the Zhang model of self-organized criticality, for which the dynamics can be described either in terms of iterated function systems or as a piecewise hyperbolic dynamical system of skew-product type. In this setting we describe the SOC attractor, and discuss its fractal structure. We show how the Lyapunov exponents, the Haussdorf dimensions, and the system size are related to the probability distribution of the avalanche size via the Ledrappier–Young formula.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018639308981
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  • 4
    Electronic Resource
    Electronic Resource
    Particles and “bumps” in quantum field configurations (1989)
    Springer
    Journal of statistical physics 55 (1989), S. 769-786 
    Details
    ISSN: 1572-9613
    Keywords: Localization ; quantum field configurations ; relativistic position
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study an approach to making a precise identification of particles with “bumps” in quantum field configurations. The problem requires some effort because typical field configurations are distributions and not elements of the classical configuration space at all. We show that the part of a configuration consisting of “vacuum fluctuations” may be identified and filtered out in a very natural way, leaving a function which is in the classical configuration space. The filtered field configuration depends on the stateΨ of the field, and for ann-particle state withn particles well localized and well separated in the Newton-Wigner sense, the filtered field configuration hasn bumps located where the particles are. We close with a discussion of observation in the Schrödinger representation for the free field in terms of our results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01041607
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  • 5
    Electronic Resource
    Electronic Resource
    Cellular automata approach to site percolation on ℤ2. A numerical study (1993)
    Springer
    Journal of statistical physics 73 (1993), S. 399-408 
    Details
    ISSN: 1572-9613
    Keywords: Cellular automata ; square lattice site (bond) percolation ; fractal percolation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present a cellular automata model as a new approach to Bernoulli site percolation on the square lattice. A new macroscopic quantity is defined and numerically computed at each level step of the automata dynamics. Its limit manifests a critical behavior at a value of the site occupancy probability quite close to those obtained for site percolation on ℤ2 with the best-known numerical methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01052768
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  • 6
    Electronic Resource
    Electronic Resource
    Interacting Quantum and Classical Continuous Systems I. The Piecewise Deterministic Dynamics (1999)
    Springer
    Journal of statistical physics 94 (1999), S. 913-931 
    Details
    ISSN: 1572-9613
    Keywords: completely positive coupling ; dissipative dynamics ; piecewise deterministic process
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A mathematical construction of a Markov–Feller process associated with a completely positive coupling between classical and quantum systems is proposed. The example of the free classical particle on the Lobatchevski space Q interacting with the quantum system characterized by coherent states on Q is considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004587117602
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  • 7
    Electronic Resource
    Electronic Resource
    Large deviations from classical paths. Hamiltonian flows as classical limits of quantum flows (1985)
    Springer
    Communications in mathematical physics 101 (1985), S. 173-185 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We prove that in the limitℏ→0, the probability for the paths of the stochastic jump process associated to the quantum time evolution to be in a tublet around the classical trajectory is of order 1−exp{−A/ℏ}. We give some applications of this result to the study of the classical limit of Wigner functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01218757
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  • 8
    Electronic Resource
    Electronic Resource
    Feynman path integrals and the trace formula for the Schrödinger operators (1982)
    Springer
    Communications in mathematical physics 83 (1982), S. 49-76 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We study Schrödinger operators of the form $$H = - \frac{{h^2 }}{2}\Delta + \frac{1}{2}x \cdot A^2 x + V(x)$$ on ℝ d , whereA 2 is a strictly positive symmetricd×d matrix andV(x) is a continuous real function which is the Fourier transform of a bounded measure. If λ n are the eigenvalues ofH we show that the theta function $$\theta (t) = \sum\limits_n {\exp \left( { - \frac{i}{h}t\lambda _n } \right)}$$ is explicitly expressible in terms of infinite dimensional oscillatory integrals (Feynman path integrals) over the Hilbert space of closed trajectories. We use these explicit expressions to give the asymptotic behaviour of θ(t) for smallh in terms of classical periodic orbits, thus obtaining a trace formula for the Schrödinger operators. This then yields an asymptotic expansion of the spectrum ofH in terms of the periodic orbits of the corresponding classical mechanical system. These results extend to the physical case the recent work on Poisson and trace formulae for compact manifolds.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01947071
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  • 9
    Electronic Resource
    Electronic Resource
    Local relativistic invariant flows for quantum fields (1983)
    Springer
    Communications in mathematical physics 90 (1983), S. 329-351 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract For quantum fields with trigonometric interaction in arbitrary space dimension we construct a representation of the Lorentz group by automorphisms on a Banach space generated by the Weyl algebra.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01206886
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  • 10
    Electronic Resource
    Electronic Resource
    The Hagedorn temperature and partition thermodynamics (2004)
    Springer
    The European physical journal 34 (2004), S. 361-366 
    Details
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. We review the resonance gas formalism of hadron thermodynamics and recall that an exponential increase of the resonance spectrum leads to a limiting temperature of hadronic matter. We then show that the number p(n) of ordered partitions of an integer n grows exponentially with n and satisfies the integer counterpart of the statistical bootstrap equation. Considering the set of all partitions as a Gibbs ensemble provides a partition thermodynamics which is also governed by a limiting temperature, determined by the combinatorial structure of the problem. Further associating intrinsic quantum numbers to integers results in a phase diagram equivalent to that found in QCD for hadronic matter as a function of temperature and baryochemical potential.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjc/s2004-01673-0
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