LEADER 04639nam 22007575 450 001 9910300399203321 005 20200703090219.0 010 $a3-319-06343-X 024 7 $a10.1007/978-3-319-06343-0 035 $a(CKB)3710000000119124 035 $a(DE-He213)978-3-319-06343-0 035 $a(SSID)ssj0001245357 035 $a(PQKBManifestationID)11730427 035 $a(PQKBTitleCode)TC0001245357 035 $a(PQKBWorkID)11323354 035 $a(PQKB)10833890 035 $a(MiAaPQ)EBC6314384 035 $a(MiAaPQ)EBC1731117 035 $a(Au-PeEL)EBL1731117 035 $a(CaPaEBR)ebr10976283 035 $a(OCoLC)881055957 035 $a(PPN)178785261 035 $a(EXLCZ)993710000000119124 100 $a20140513d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonlinear Dynamics and Quantum Chaos $eAn Introduction /$fby Sandro Wimberger 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (XIII, 206 p. 75 illus., 7 illus. in color.) 225 1 $aGraduate Texts in Physics,$x1868-4513 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-06342-1 327 $aIntroduction -- Fundamental terminology -- Complexity --  Classical versus quantum dynamics.- Problems --  References -- Dynamical systems -- Evolution law -- One-dimensional maps -- Problems -- References -- Nonlinear Hamiltonian systems -- Integrable examples -- Hamiltonian formalism -- Important techniques in the Hamiltonian formalism -- Integrable systems -- Non-integrable systems -- Perturbation of low-dimensional systems -- Canonical perturbation theory -- Transition to chaos in Hamiltonian systems -- Criteria for local and global chaos -- Appendix -- Problems -- References -- Aspects of quantum chaos -- Introductory remarks on quantum mechanics -- Semiclassical quantization of integrable systems -- Semiclassical description of non-integrable systems -- Wave functions in phase space -- Anderson and dynamical localization -- Universal level statistics -- Concluding remarks -- Appendix -- Problems -- References -- Index. 330 $aThe field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field. 410 0$aGraduate Texts in Physics,$x1868-4513 606 $aStatistical physics 606 $aDynamics 606 $aErgodic theory 606 $aPhysics 606 $aMechanics 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 615 0$aStatistical physics. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aPhysics. 615 0$aMechanics. 615 14$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aMathematical Methods in Physics. 615 24$aClassical Mechanics. 676 $a531 700 $aWimberger$b Sandro$4aut$4http://id.loc.gov/vocabulary/relators/aut$0791829 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300399203321 996 $aNonlinear Dynamics and Quantum Chaos$91770473 997 $aUNINA