04639nam 22007575 450 991030039920332120200703090219.03-319-06343-X10.1007/978-3-319-06343-0(CKB)3710000000119124(DE-He213)978-3-319-06343-0(SSID)ssj0001245357(PQKBManifestationID)11730427(PQKBTitleCode)TC0001245357(PQKBWorkID)11323354(PQKB)10833890(MiAaPQ)EBC6314384(MiAaPQ)EBC1731117(Au-PeEL)EBL1731117(CaPaEBR)ebr10976283(OCoLC)881055957(PPN)178785261(EXLCZ)99371000000011912420140513d2014 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierNonlinear Dynamics and Quantum Chaos An Introduction /by Sandro Wimberger1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (XIII, 206 p. 75 illus., 7 illus. in color.) Graduate Texts in Physics,1868-4513Bibliographic Level Mode of Issuance: Monograph3-319-06342-1 Introduction -- 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.The 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.Graduate Texts in Physics,1868-4513Statistical physicsDynamicsErgodic theoryPhysicsMechanicsApplications of Nonlinear Dynamics and Chaos Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P33020Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Statistical physics.Dynamics.Ergodic theory.Physics.Mechanics.Applications of Nonlinear Dynamics and Chaos Theory.Dynamical Systems and Ergodic Theory.Mathematical Methods in Physics.Classical Mechanics.531Wimberger Sandroauthttp://id.loc.gov/vocabulary/relators/aut791829MiAaPQMiAaPQMiAaPQBOOK9910300399203321Nonlinear Dynamics and Quantum Chaos1770473UNINA