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| 001 | 102204 | ||
| 003 | KnowledgeUnlatched | ||
| 005 | 20210303105035.0 | ||
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| 008 | 210129p20162019xx o u00| u eng d | ||
| 037 | _5BiblioBoard | ||
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_aIntroduction to Louis Michel's lattice geometry through group action _cBoris Zhilinskii. |
| 020 | _a9782759819522 | ||
| 029 | 1 | _ahttps://library.biblioboard.com/ext/api/media/5bfeb78a-070f-4acd-bcb0-8814a5829ead/assets/thumbnail.jpg | |
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_aScCtBLL _cScCtBLL |
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| 100 | 1 |
_aZhilinskii, Boris _eauthor. |
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| 264 | 1 | _bEDP Sciences, | |
| 300 | _a1 online resource (1 p.) | ||
| 506 | 0 |
_aAccess copy available to the general public. _fUnrestricted _2star |
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| 520 | _aGroup action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the central subject of the book. Di erent basic mathematical tools currently used for the description of lattice geometry are introduced and illustrated through applications to crystal structures in two- and three-dimensional space, to abstract multi-dimensional lattices and to lattices associated with integrable dynamical systems. Starting from general Delone sets the authors turn to di erent symmetry and topological classi- cations including explicit construction of orbifolds for two- and three-dimensional point and space groups. Voronoï and Delone cells together with positive quadratic forms and lattice description by root systems are introduced to demonstrate alternative approaches to lattice geometry study. Zonotopes and zonohedral families of 2-, 3-, 4-, 5-dimensional lattices are explicitly visualized using graph theory approach. Along with crystallographic applications, qualitative features of lattices of quantum states appearing for quantum problems associated with classical Hamiltonian integrable dynamical systems are shortly discussed. The presentation of the material is done through a number of concrete examples with an extensive use of graphical visualization. The book is addressed to graduated and post-graduate students and young researches in theoretical physics, dynamical systems, applied mathematics, solid state physics, crystallography, molecular physics, theoretical chemistry, etc. | ||
| 588 | 0 | _aDescription based on print version record. | |
| 590 | _aKU Select 2018: STEM Backlist Books | ||
| 650 | 7 |
_aMathematics _2bisacsh |
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| 650 | 0 | _aMathematics | |
| 655 | 0 | _aElectronic books. | |
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_iIs found in: _aKnowledge Unlatched _1https://openresearchlibrary.org/module/2774bc74-146a-484f-a7ba-ab1d6a09bbfb |
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| 856 | 4 | 0 |
_uhttps://openresearchlibrary.org/content/5bfeb78a-070f-4acd-bcb0-8814a5829ead _zView this content on Open Research Library. _70 |
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_c33362 _d33362 |
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