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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 2512-2515 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Sequences of point transformations and canonical linear transformations are considered in classical and quantum mechanics. It is shown that the unitary representations of such transformations can be obtained, in general, in the sense that in the limit, classical behavior is retrieved. In the particular case of one point transformation combined with two linear transformations, the results found in this way are exact. A new class of differential equations is thereby solved by quadratures.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 113 (1993), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: The strong ground motion recorded during the 1989 April 25 earthquake (Ms= 6.9) shows many of the previously observed features in the soft lacustrine clays over which downtown Mexico City is built: a dominant response frequency around 0.4 Hz, enormous time prolongation of the seismic signal with characteristic beating phenomena and conspicuous differential amplification. Following the two-step process suggested in Part I (Seligman et al. 1989), we add two new theoretical aspects: the generation of horizontally propagating SP waves in the layered structure beneath Mexico City for incoming SV waves beyond critical incidence, and the subsequent lateral trapping of these SP waves in the lacustrine clays. The time evolution of the lateral resonant pattern produced by these waves is calculated for the realistic geometry of the lake beds. Synthetic accelerograms, and Fourier spectra at different sites within the clay region are thus obtained. Our results can explain the monochromaticity and the long duration of the strong motion observed systematically in the soft clays of the Valley of Mexico.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 99 (1989), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: The model developed by Bard and Bouchon to study the earthquake response of open-ended 2-D sediment-filled valleys with simple geometries is generalized to describe completely enclosed basins with arbitrary geometries. By solving the basin form that corresponds to the Valley of Mexico it is possible to understand, via a two-step process model, several of the observed features of the 1985 September 19 earthquake that devastated downtown Mexico City. Here a general approach that allows the treatment of the particular seismic behaviour of the Valley of Mexico (which is a large sediment-filled valley, containing an extremely soft-ground urban area with a very high water content) using collective resonance methods that vary from elastic to acoustic models is established. This will lead through a series of papers to a theory that takes into account the role played by any valley's collective modes, for microzonation and seismic damage predictions.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 326 (1987), S. 783-785 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] It has long been established4 that within the valley of Anahuac, in the area presently occupied by Mexico City, there are three types of terrain: the firm ground of the foothills and lava beds, the so-called transition area, and the soft ground that corresponds to the old lake where the city area ...
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 330 (1987), S. 25-25 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] SIR-Tiedemann1 has recently commented on our paper2 on the resonance effects of the September 1985 earthquakes in Mexico City. Some of his comments and proposed 'rules' are quite relevant and deserve a detailed answer. However, in his opening statement he implies that the distribution of damage ...
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical chemistry accounts 38 (1975), S. 341-354 
    ISSN: 1432-2234
    Keywords: Valence bond theory, second quantization formulation of ∼
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Valence bond theory is formulated in terms of second quantized operators and is related to the theory of the unitary group of spin-free orbital transformations. The construction of Weyl basis states, the evaluation of matrix elements, and the application to a linked-diagram valence bond perturbation theory are all discussed.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 295 (1980), S. 243-245 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For nuclear cross sections a very simple relation between channel averages and averages over incident energy is found. The assumptions used are normally satisfied for sets of channels involved in inclusive cross sections in regions without intermediate structure. In the absence of direct reactions the channel averaged cross sections are expressed in terms of channel averaged transmission coefficients; in the presence of such reactions, channel averages of first and second powers of transmission matrix elements occur when channel correlations induced by direct reactions are neglected.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 219 (1969), S. 105-113 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using general properties of the representations of unitary groups and their relations to representations of symmetric groups, the 3j symbol of the unitary unimodular group ℒU(2) is written in terms of a 9j symbol of the unitary unimodular group ℒU(J) withJ being the sum of the threej's. The result yields the Regge symmetry of the 3j symbol as a consequence of new relations between Wigner coefficients and special invariants of unitary groups on one hand and the association symmetry of the symmetric group on the other.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 302 (1981), S. 351-354 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is shown that the statistical distribution of an ensemble of one-channelS-matrices is uniquely determined by requiring that:1)S has poles only in the lower half of the energy plane and2) the functionS(E) is ergodic in a sense to be defined. A Monte Carlo calculation was performed to illustrate numerically the above statement.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 305 (1982), S. 69-72 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For the region of non-overlapping resonances, i.e., weak absorption the elastic enhancement is calculated in the absence of direct contributions. The non-overlap of resonances implies a situation where all eigenphases but one are “condensated” and a few very general assumptions concerning transformation properties of theS-matrix, ergodicity and analyticity allow an exact treatment beyond the well known enhancement of 3 for the weak absorption limit.
    Type of Medium: Electronic Resource
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