LEADER 02962nam 22004575a 450 001 9910151933203321 005 20091109150325.0 010 $a3-03719-570-3 024 70$a10.4171/070 035 $a(CKB)3710000000953843 035 $a(CH-001817-3)100-091109 035 $a(PPN)178155632 035 $a(EXLCZ)993710000000953843 100 $a20091109j20090708 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aThe Statistical Mechanics of Quantum Lattice Systems$b[electronic resource] $eA Path Integral Approach /$fSergio Albeverio, Yuri Kondratiev, Yuri Kozitsky, Michael Ro?ckner 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2009 215 $a1 online resource (392 pages) 225 0 $aEMS Tracts in Mathematics (ETM)$v8 330 $aQuantum statistical mechanics plays a major role in many fields such as, for instance, thermodynamics, plasma physics, solid-state physics, and the study of stellar structure. While the theory of quantum harmonic oscillators is relatively simple, the case of anharmonic oscillators, a mathematical model of a localized quantum particle, is more complex and challenging. Moreover, infinite systems of interacting quantum anharmonic oscillators possess interesting ordering properties with respect to quantum stabilization. This book presents a rigorous approach to the statistical mechanics of such systems, in particular with respect to their actions on a crystal lattice. The text is addressed to both mathematicians and physicists, especially those who are concerned with the rigorous mathematical background of their results and the kind of problems that arise in quantum statistical mechanics. The reader will find here a concise collection of facts, concepts, and tools relevant for the application of path integrals and other methods based on measure and integration theory to problems of quantum physics, in particular the latest results in the mathematical theory of quantum anharmonic crystals. The methods developed in the book are also applicable to other problems involving infinitely many variables, for example, in biology and economics. 517 $aStatistical Mechanics of Quantum Lattice Systems 606 $aAnalytical mechanics$2bicssc 606 $aStatistical mechanics, structure of matter$2msc 606 $aFunctional analysis$2msc 615 07$aAnalytical mechanics 615 07$aStatistical mechanics, structure of matter 615 07$aFunctional analysis 686 $a82-xx$a46-xx$2msc 700 $aAlbeverio$b Sergio$044256 702 $aKondratiev$b Yuri 702 $aKozitsky$b Yuri 702 $aRo?ckner$b Michael 801 0$bch0018173 906 $aBOOK 912 $a9910151933203321 996 $aThe Statistical Mechanics of Quantum Lattice Systems$92565446 997 $aUNINA LEADER 03867nam 22006495 450 001 9910254587603321 005 20200705030610.0 010 $a4-431-56587-6 024 7 $a10.1007/978-4-431-56587-1 035 $a(CKB)4100000000882507 035 $a(DE-He213)978-4-431-56587-1 035 $a(MiAaPQ)EBC5115874 035 $a(PPN)220123950 035 $a(EXLCZ)994100000000882507 100 $a20171027d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBeginner?s Guide to Flux Crystal Growth /$fby Makoto Tachibana 205 $a1st ed. 2017. 210 1$aTokyo :$cSpringer Japan :$cImprint: Springer,$d2017. 215 $a1 online resource (IX, 130 p. 63 illus., 41 illus. in color.) 225 1 $aNIMS Monographs,$x2197-8891 311 $a4-431-56586-8 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aIntroduction -- Mechanisms of crystal growth from fluxed solution -- Phase diagrams for flux growth -- Choosing a flux -- Equipment and experimental procedures -- Examples of flux-grown crystals. 330 $aThis book introduces the principles and techniques of crystal growth by the flux method, which is arguably the most useful way to obtain millimeter- to centimeter-sized single crystals for physical research. As it is possible to find an appropriate solvent (?flux?) for nearly all inorganic materials, the flux method can be applied to the growth of many crystals ranging from transition metal oxides to intermetallic compounds. Both important principles and experimental procedures are described in a clear and accessible manner. Practical advice on various aspects of the experiment, which is not readily available in the literature, will assist the beginning graduate students in setting up the lab and conducting successful crystal growth. The mechanisms of crystal growth at an elementary level are also provided to better understand the techniques and to help in assessing the quality of the crystals. The book also contains many photographs of beautiful crystals with important physical properties of current interest, such as high-temperature superconductors, strongly correlated electronic systems, topological insulators, relaxor ferroelectrics, low-dimensional quantum magnets, non-linear optical materials, and multiferroics. 410 0$aNIMS Monographs,$x2197-8891 606 $aCrystallography 606 $aChemistry, Inorganic 606 $aOptical materials 606 $aElectronics$xMaterials 606 $aMaterials science 606 $aCrystallography and Scattering Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/P25056 606 $aInorganic Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C16008 606 $aOptical and Electronic Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z12000 606 $aCharacterization and Evaluation of Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z17000 615 0$aCrystallography. 615 0$aChemistry, Inorganic. 615 0$aOptical materials. 615 0$aElectronics$xMaterials. 615 0$aMaterials science. 615 14$aCrystallography and Scattering Methods. 615 24$aInorganic Chemistry. 615 24$aOptical and Electronic Materials. 615 24$aCharacterization and Evaluation of Materials. 676 $a530.41 700 $aTachibana$b Makoto$4aut$4http://id.loc.gov/vocabulary/relators/aut$0825087 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254587603321 996 $aBeginner?s Guide to Flux Crystal Growth$91835270 997 $aUNINA