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  • 1
    Unknown
    Random matrices (2004)
    Amsterdam ; San Diego, CA : Elsevier/Academic Press
    Details
    Keywords: DDC 512.9 ; LC QA188 ; Random matrices
    Pages: Online-Ressource (xviii, 688 pages)
    Edition: 3rd ed
    ISBN: 9780120884094
    URL: http://www.sciencedirect.com/science/publication?issn=00798169&volume=142
    Language: English
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    E-BOOK
  • 2
    Electronic Resource
    Electronic Resource
    Gaussian ensembles of random hermitian matrices intermediate between orthogonal and unitary ones (1983)
    Springer
    Communications in mathematical physics 87 (1983), S. 449-468 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A Gaussian ensemble of Hermitian matrices depending on a parameter α is considered. When α=0, the ensemble is Gaussian Orthogonal, and when α=1, it is Gaussian Unitary. An analytic expression for then-level correlation and cluster functions is given for anyn and 0≦α≦1. This ensemble is of relevance in the study of time reversal symmetry breaking of nuclear interactions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01208259
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  • 3
    Electronic Resource
    Electronic Resource
    Some trigonometric identities encountered by McCoy and Orrick (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 5098-5109 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A proof is given for the trigonometric identities (1.1)–(1.5) arising in the perturbative treatment of chiral Potts model. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531345
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  • 4
    Electronic Resource
    Electronic Resource
    Eigenvalues and eigenvectors of the finite Fourier transform (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 781-785 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The eigenvalues and eigenvectors of the n×n unitary matrix of finite Fourier transform whose j, k element is (1/(n)1/2)exp[(2πi/n)jk], i=(−1)1/2, is determined. In doing so, a multitude of identities, some of which may be new, are encountered. A conjecture is advanced.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527619
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  • 5
    Electronic Resource
    Electronic Resource
    Some trigonometric identities. II (1996)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 4150-4155 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Some trigonometric sums arising in the perturbative study of integrable chiral Zn quantum chains are directly evaluated. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531622
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  • 6
    Electronic Resource
    Electronic Resource
    Effect of 1 wt.% yttrium addition on high-temperature sulfidation behavior of Fe-15Cr-4Al alloy (1987)
    Springer
    Oxidation of metals 28 (1987), S. 127-153 
    Details
    ISSN: 1573-4889
    Keywords: Kinetics ; yttrium addition ; sulfidation ; sulfides
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract High-temperature sulfidation studies have been carried out on Fe-15Cr-4Al with and without 1% Y in the temperature range 700–1000°C in an H 2-H2 S environment over the sulfur pressure range of 10 −9−10−3 atm. Two-layered and three-layered sulfide scales were observed in both alloys at low and high sulfur pressures, respectively. The pegging phenomenon, similar to that occurring in high-temperature oxidation, across the innermost layer and substrate was observed in the case of the yttrium-containing alloy. Yttrium was found to be associated with aluminum and chromium sulfides. The role of yttrium was more evident at low than at high sulfur pressures and was found to reduce the parabolic rate constants by a factor of about one-half to one-seventh, respectively.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00656703
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  • 7
    Electronic Resource
    Electronic Resource
    Effect of zirconium concentration on nodule formation during cyclic oxidation of Fe-15Cr-4Al alloy at 1300°C (1988)
    Springer
    Oxidation of metals 29 (1988), S. 1-21 
    Details
    ISSN: 1573-4889
    Keywords: Cyclic oxidation ; nodule ; oxidation resistance ; nodular growth ; wart
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The effect of small concentrations of zirconium on the cyclic oxidation behavior of Fe-15Cr-4Al was investigated at 1300°C. The zirconium concentrations studied were 0.2, 0.55, and 1 wt.%. Each cycle consisted of a 1-hr isothermal period followed by 30-min cooling of the sample in air. Nodule formation was observed in higher zirconium-containing alloys, 0.55% and 1% zirconium, and the base alloy. The nodules formed at the corners and edges of the specimen and grew with increasing number of cycles. EDAX and line scans of cross section of oxidized samples demonstrated that the nodules were composed of iron oxides. Suggestions are given regarding the mode of nodule formation. Results show that additions of 0.2% zirconium and 1% yttrium to the base alloy suppress the nodule formation and provide the best resistance to cyclic oxidation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00656347
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  • 8
    Electronic Resource
    Electronic Resource
    Molecular constants of some hexahalide anions (1977)
    Springer
    Monatshefte für Chemie 108 (1977), S. 555-558 
    Details
    ISSN: 1434-4475
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Modified force fields have been applied to the hexachlorides and hexabromides anions of technetium. Mean amplitudes of vibration are also calculated at 0 K and 298 K. Trends of calculated data are discussed. The observed frequencies are 100% fitted by both the modified force fields used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00912799
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  • 9
    Electronic Resource
    Electronic Resource
    Normal coordinate treatment of actinide(IV)-hexabromides (1979)
    Springer
    Monatshefte für Chemie 110 (1979), S. 857-860 
    Details
    ISSN: 1434-4475
    Keywords: Force field ; Mean amplitudes of vibration, hexahalides ; ThBr6 ; UBr6
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Es wurden für die Rechnungen an Hexabromo-thoraten(IV) und-uranaten(IV) vier verschiedene Modelle herangezogen. Die beobachteten Frequenzen wurden mittels gewichteter Kleinster-Fehlerquadrat-Methode angepaßt. Die Trends bei den Kraftkonstanten und den mittleren Amplituden der einzelnen Verbindungen werden diskutiert.
    Notes: Abstract Molecular force field studies of hexabromo-thorates(IV) and-uranates(IV) have been carried out using four different force field models. Weighted least square adjustment has been used to fit the observed frequencies. Mean amplitudes of vibration have also been calculated at 0°K and 298°K. The trends of force constants and mean amplitudes have also been discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00906680
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  • 10
    Electronic Resource
    Electronic Resource
    A note on correlations between eigenvalues of a random matrix (1971)
    Springer
    Communications in mathematical physics 20 (1971), S. 245-250 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Dyson's method is adopted here for the so called Gaussian ensembles. Incidently this confirms the long cherished belief that the statistical properties of a small number of eigenvalues is the same for the two kinds of ensembles, the circular and the Gaussian ones.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01646557
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