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  • 1
    UID:
    b3kat_BV042413706
    Format: 1 Online-Ressource (XII, 344 p)
    ISBN: 9783642812910 , 9783642812934
    Series Statement: Springer series in solid-state sciences 8
    Note: Nonlinear ideas of a "soliton" variety have been a unifying influence on the natural sciences for many decades. However, their universal appreciation in the physics community as a genuine paradigm is very much a current development. All of us who have been associated with this recent wave of enthusiasm were impressed with the variety of applications, their inevitability once the mental contraint of linear normal modes is removed, and above all by the common mathematical structures underpinning applications with quite different (and often novel) physical manifestations. This has certainly been the situation in condensed matter, and when, during the Paris Lattice Dynamics Conference (September 1977), one of us (T. S. ) first suggested a condensed matter soliton Meeting, the idea was strongly encouraged. It would provide an opportunity to exhibit the common mathematical problems, illuminate the new contexts, and thereby focus the "subject" of nonlinear physics at this embryonic stage of its evolution. The original conception was to achieve a balance of mathematicians and physicists such that each would benefit from the other's expertise and outlook. In contrast to many soliton Meetings, however, a deliberate attempt was made to emphasize physics contexts rather than mathematical details
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 3-540-09138-6
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 0-387-09138-6
    Language: English
    Subjects: Physics
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    Keywords: Physik ; Nichtlineares Phänomen ; Festkörper ; Nichtlineares Phänomen ; Festkörperphysik ; Soliton ; Konferenzschrift ; Konferenzschrift
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  • 2
    UID:
    b3kat_BV042413734
    Format: 1 Online-Ressource (X, 370 p)
    ISBN: 9783642815928 , 9783642815942
    Series Statement: Springer Series in Solid-State Sciences 23
    Note: In 1966, E.H. Lieb and D.C. r1attis published a book on "Mathematical Physics in One Dimension" [Academic Press, New York and London] which is much more than just a collection of reprints and which in fact marked the beginnings of the rapidly growing interest in one-dimensional problems and materials in the 1970's. In their Foreword, Lieb and r~attis made the observation that " ... there now exists a vast literature on this subject, albeit one which is not indexed under the topic "one dimension" in standard indexing journals and which is therefore hard to research ... ". Today, the situation is even worse, and we hope that these Proceedings will be a valuable guide to some of the main current areas of one-dimensional physics. From a theoretical point of view, one-dimensional problems have always been very attractive. Many non-trivial models are soluble in one dimension, while they are only approximately understood in three dimensions. Therefore, the corresponding exact solutions serve as a useful test of approximate ma­ thematical methods, and certain features of the one-dimensional solution re­ main relevant in higher dimensions. On the other hand, many important phe­ nomena are strongly enhanced, and many concepts show up especially clearly in one-dimensional or quasi -one-dimensional systems. Among them are the ef­ fects of fluctuations, of randomness, and of nonlinearity; a number of in­ teresting consequences are specific to one dimension
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 3-540-10586-7
    Language: English
    Subjects: Physics
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    Keywords: Eindimensionaler Festkörper ; Freiburg im Üechtland ; Festkörperphysik ; Konferenzschrift
    Library Location Call Number Volume/Issue/Year Availability
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