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  • 1
    Unbekannt
    The Padé Approximant in Theoretical Physics (1970)
    New York : Academic Press
    Details
    Schlagwort(e): DDC 511/.6 ; LC QA164
    Seiten: Online-Ressource (xii, 378 pages)
    ISBN: 9780120748501
    URL: http://www.sciencedirect.com/science/bookseries/00765392/71
    Sprache: Englisch
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  • 2
    Digitale Medien
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    Two-point quasifractional approximant in physics. Truncation error (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1470-1477 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: The quasifractional approximation method is developed in a systematic manner. This method uses simultaneously the power series, and at a second point, the asymptotic expansion. The usual form of the approximants is two or more rational fractions, in terms of a suitable variable, combined with auxiliary nonfractional functions. Coincidence in the singularities in the region of interest is pursued. Equal denominators in the rational fractions is required so that the solution of only linear algebraic equations is needed to determine the parameters of the approximant. An upper bound is obtained for the truncation error for a certain class of functions, which contains most of the functions for which this method has been applied so far. It is shown that quasifractional approximants can be derived as a mixed German and Latin polynomial problem in the context of Hermite–Padé approximation theory.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.529304
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  • 3
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    Quantum, many-body, finite-temperature perturbation theory for an electron–ion system (2000)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 68-72 
    Details
    ISSN: 1089-7674
    Quelle: AIP Digital Archive
    Thema: Physik
    Notizen: The expansion in powers of the electron charge, e, for a neutral system of electrons (fermions) and ions (Maxwell–Boltzmann particles) is extended to order e4 for arbitrary values of temperature and density. The methods of calculation of the series terms will be illustrated, and some of the consequences of these results will be discussed. The ionization profile so derived, at least at high temperatures, will be contrasted with Saha theory. Some special features of hydrogen related to the possible plasma phase transition will be noted. © 2000 American Institute of Physics.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.873819
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  • 4
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    Four-dimensional boson field theory. III. Nontriviality (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 1146-1158 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: The results of numerical investigations based on series analysis indicate clearly that the method of phantom fields constructs nontrivial, self-interacting scalar Euclidean boson field theories. It is found that these continuum theories arise as the scaling limit to normal critical points of lattice statistical mechanical models. The character of these theories is numerically indistinguishable from that of a classical theory on the lambda line near the tricritical point.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527818
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  • 5
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    Four-dimensional boson field theory. II. Existence (1986)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 2379-2393 
    Details
    ISSN: 1089-7658
    Quelle: AIP Digital Archive
    Thema: Mathematik , Physik
    Notizen: The existence of the continuum, quantum field theory found by Baker and Johnson [G. A. Baker, Jr. and J. D. Johnson, J. Phys. A 18, L261 (1985)] to be nontrivial is proved rigorously. It is proved to satisfy all usual requirements of such a field theory, except rotational invariance. Currently known information is consistent with rotational invariance however. Most of the usual properties of other known Euclidean boson quantum field theories hold here, in a somewhat weakened form. Summability of the sufficiently strongly ultraviolet cutoff bare coupling constant perturbation series is proved as well as a nonzero radius of convergence for high-temperature expansions of the corresponding continuous-spin Ising model. The description of the theory by these two series methods is shown to be equivalent. The field theory is probably not asymptotically free.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1063/1.527009
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  • 6
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    A STUDY OF CERTAIN FACTORS INFLUENCING THE COMPOSITION OF CALIFORNIA-TYPE SHERRY DURING BAKING (1951)
    Oxford, UK : Blackwell Publishing Ltd
    Journal of food science 16 (1951), S. 0 
    Details
    ISSN: 1750-3841
    Quelle: Blackwell Publishing Journal Backfiles 1879-2005
    Thema: Land- und Forstwirtschaft, Gartenbau, Fischereiwirtschaft, Hauswirtschaft , Werkstoffwissenschaften, Fertigungsverfahren, Fertigung
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1111/j.1365-2621.1951.tb17370.x
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  • 7
    Digitale Medien
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    The continuous-spin Ising model, g0∶φ4∶d field theory, and the renormalization group (1981)
    Springer
    Journal of statistical physics 24 (1981), S. 469-528 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Ising ferromagnet ; Boson field theory ; renormalization group ; hyperscaiing relations ; high-temperature series expansions ; Padé and integral approximants
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We have used the method of high-temperature series expansions to investigate the critical point properties of a continuous-spin Ising model and g0∶φ4∶d Euclidean field theory. We have computed through tenth order the hightemperature series expansions for the magnetization, susceptibility, second derivative of the susceptibility, and the second moment of the spin-spin correlation function on eight different lattices. Our analysis of these series is made using integral and Padé approximants. In three dimensions we find that hyperscaling fails for sufficiently Ising-like systems; the strong coupling limit of g0∶φ4∶3 depends on how the ultraviolet cutoff is removed. The level contours of the renormalized coupling constant for this model in theg 0, correlation-length plane exhibit a saddle point. If the ultraviolet cutoff is removed beforeg 0→ ∞, the usual field theory results and the renormalization-group fixed point with hyperscaling is obtained. If the order of these limits is reversed, the Ising model limit where hyperscaling fails and the field theory is trivial is obtained. In four dimensions, we find that hyperscaling fails completely; g0∶φ4∶4 is trivial for all g0 when the ultraviolet cutoff is removed.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01012818
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  • 8
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    Book review: Moment methods in many-fermion systems (1982)
    Springer
    Journal of statistical physics 27 (1982), S. 219-220 
    Details
    ISSN: 1572-9613
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01011748
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  • 9
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    The Pauli Principle and the Restricted Primitive Model (2000)
    Springer
    Journal of statistical physics 100 (2000), S. 233-242 
    Details
    ISSN: 1572-9613
    Schlagwort(e): equations of state ; primitive model ; quantum perturbation theory ; classical perturbation theory ; hydrogen
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract The restricted primitive model is an electrically neutral, classical model consisting of hard spheres charged either +q or −q. We show that, by appropriately selecting the diameter of the hard spheres, the pressure when q=0 can be made equal to that for a fluid of Maxwell–Boltzmann point ions and an ideal Fermi gas of electrons. We compare the series expansion of these classical and quantum systems and find that, except for intermediate de Broglie density and moderate to strong electrical interaction strength, the restricted primitive model gives a reasonable representation of the pressure of the corresponding quantum system. Much of the current interest, however, has been focused on the above, excepted region.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1018647930248
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  • 10
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    On the ferromagnetic Ising model in noninteger spatial dimension (1982)
    Springer
    Journal of statistical physics 29 (1982), S. 699-716 
    Details
    ISSN: 1572-9613
    Schlagwort(e): Ising model ; Yang-Lee theorem ; dimensional analytic continuation ; series expansions methods
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract Using the necessary and sufficient conditions in terms of the high-field series coefficients that the Yang-Lee theorem holds, we prove rigorously by counterexample that it cannot be extended to general noninteger dimension, when such models are defined by the “natural” analytic continuation.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01011786
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