LEADER 02989nam 2200529 450 001 9910467235403321 005 20200520144314.0 010 $a3-11-056035-6 024 7 $a10.1515/9783110560329 035 $a(CKB)4100000001502400 035 $a(MiAaPQ)EBC5157379 035 $a(DE-B1597)487454 035 $a(OCoLC)1024035064 035 $a(DE-B1597)9783110560329 035 $a(Au-PeEL)EBL5157379 035 $a(CaPaEBR)ebr11497581 035 $a(OCoLC)1020029534 035 $a(EXLCZ)994100000001502400 100 $a20180209h20182018 uy 0 101 0 $ager 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aModerne Thermodynamik$hBand 2 $eQuantenstatistik aus experimenteller Sicht /$fChristoph Strunk 205 $a2. Auflage. 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2018. 210 4$d©2018 215 $a1 online resource (377 pages) $cillustrations 225 0 $aDe Gruyter Studium ;$v2 311 $a3-11-056050-X 311 $a3-11-056032-1 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tVorwort zur 2. Auflage -- $tVorwort zur 1. Auflage -- $tInhalt -- $tInhaltsverzeichnis des ersten Bandes -- $tDie Strategie des Buches -- $tBezeichnungen -- $t1. Zusammenfassung der Thermodynamik -- $t2. Statistische Thermodynamik am Beispiel von Spin-1/2-Systemen -- $t3. Einfache Quantensysteme -- $t4. Ideale Gase bei tiefen Temperaturen -- $t5. Bose-Systeme -- $t6. Fermi-Systeme -- $t7. Quasiteilchen in reduzierten Dimensionen -- $tA. Differenzialrechnung im ?n -- $tB. Wahrscheinlichkeiten und Wahrscheinlichkeitsdichten -- $tC. Nützliche Integrale -- $tD. Legendre-Transformation -- $tE. Das Zwei-Körper-System aus thermodynamischer Sicht -- $tF. Magnetische Felder in Materie -- $tG. Charakteristische Funktionen in der Statistik -- $tH. Die Boltzmann-Gleichung -- $tDanksagung -- $tLiteraturverzeichnis -- $tStichwortverzeichnis 330 $aDieses Buch schlägt eine neuartige Bru?cke zwischen dem traditionellen und dem statistischen Zugang zur Thermodynamik. Es ist aus experimenteller Perspektive beschrieben, bemu?ht sich aber gleichzeitig um konzeptionelle Strenge. Im zweiten Band wird die Quantenstatistik auf natürliche Weise in den Rahmen der makroskopischen Thermodynamik integriert und anhand zahlreicher Beispiele aus der Atom- und Molekülphysik, der Festkörperphysik, der Tieftemperaturphysik bis hin zur Physik der Nanostrukturen illustriert. 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Moll$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2004. 215 $a1 online resource (xiv, 306 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-79636-9 311 $a0-521-79186-3 320 $aIncludes bibliographical references (p. 276-297) and index. 327 $aCover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Factorials and Binomial Coefficients; 2 The Method of Partial Fractions; 3 A Simple Rational Function; 4 A Review of Power Series; 5 The Exponential and Logarithm Functions; 6 The Trigonometric Functions and Pi; 7 A Quartic Integral; 8 The Normal Integral; 9 Euler's Constant; 10 Eulerian Integrals: The Gamma and Beta Functions; 11 The Riemann Zeta Function; 12 Logarithmic Integrals; 13 A Master Formula; Appendix: The Revolutionary WZ Method; Bibliography; Index 330 $aThe problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed in this book, first published in 2004, are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting, rather than the shortest, path to the results. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. 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