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1. |
Record Nr. |
UNINA9910828531703321 |
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Autore |
Bachmann Friedrich <1909-1982, > |
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Titolo |
N-gons / / Friedrich Bachmann and Eckart Schmidt ; translated by Cyril W. L. Garner |
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Pubbl/distr/stampa |
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Toronto, [Ontario] ; ; Buffalo, [New York] : , : University of Toronto Press, , 1975 |
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©1975 |
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ISBN |
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Descrizione fisica |
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1 online resource (208 p.) |
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Collana |
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Mathematical Expositions, , 0076-5333x ; ; Number 18 |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction -- PART I: Cyclic classes and cyclic mappings -- PART II: The main theorem -- PART III: Boolean algebras of n-gonal theory -- PART IV: Atomic decompositions -- Appendices -- List of symbols and notations. |
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Sommario/riassunto |
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This book, a translation of the German volume n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra in a form that is easily accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear algebra and the algebra of polynomials to a concrete geometrical situation to reveal some rather surprising insights into the geometry of n-gons. The twelve chapters treat n-gons, classes of n-gons, and mapping of the set of n-gons into itself. Exercises are included throughout, and two appendixes, by Henner Kinder and Eckart Schmidt, provide background material on lattices and cyclotomic polynomials.(Mathematical Expositions No. 18). |
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2. |
Record Nr. |
UNINA9910437982803321 |
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Autore |
Smerald Andrew |
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Titolo |
Theory of the nuclear magnetic 1/T1 relaxation rate in conventional and unconventional magnets / / Andrew Smerald |
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Pubbl/distr/stampa |
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Cham ; ; New York, : Springer, c2013 |
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ISBN |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (173 p.) |
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Collana |
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Disciplina |
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Soggetti |
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Nuclear magnetism |
Nuclear physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Doctoral thesis accepted by the University of Bristol, UK." |
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Nota di contenuto |
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What is frustrated magnetism and why should you care? -- An introduction to field theory in magnetic systems: the Néel antiferromagnet -- Angle-resolved NMR: a theory of the 1/T1 relaxation rate in magnetic systems -- Theory of the NMR relaxation rate in magnetic Fe pnictides -- Field theoretical description of quantum spin-nematic order -- How to recognise the quantum spin-nematic state. |
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Sommario/riassunto |
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One of the best ways to "lift the lid" on what is happening inside a given material is to study it using nuclear magnetic resonance (NMR). Of particular interest are NMR 1/T1 relaxation rates, which measure how fast energy stored in magnetic nuclei is transferred to surrounding electrons. This thesis develops a detailed, quantitative theory of NMR 1/T1 relaxation rates, and shows for the first time how they could be used to measure the speed at which energy travels in a wide range of magnetic materials. This theory is used to make predictions for"Quantum Spin Nematics", an exotic form of quantum order analogous to a liquid crystal. In order to do so, it is first necessary to unravel how spin nematics transport energy. This thesis proposes a new way to do this, based on the description of quarks in high-energy physics. Experiments to test the ideas presented are now underway in laboratories across the world. |
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