02813nam 2200625 450 991014630160332120220909022955.03-540-69784-510.1007/BFb0092091(CKB)1000000000437326(SSID)ssj0000323820(PQKBManifestationID)12114818(PQKBTitleCode)TC0000323820(PQKBWorkID)10303301(PQKB)11478910(DE-He213)978-3-540-69784-8(MiAaPQ)EBC5595587(Au-PeEL)EBL5595587(OCoLC)1076260481(MiAaPQ)EBC6842047(Au-PeEL)EBL6842047(OCoLC)1294145391(PPN)155181165(EXLCZ)99100000000043732620220909d1998 uy 0engurnn|008mamaatxtccrHomogenization in time of singularly perturbed mechanical system /Folkmar Bornemann1st ed. 1998.Berlin :Springer-Verlag,[1998]©19981 online resource (XIV, 158 p.) Lecture notes in mathematics ;1687Bibliographic Level Mode of Issuance: Monograph3-540-64447-4 Includes bibliographical references and index.Homogenization of natural mechanical systems with a strong constraining potential -- Applications -- Adiabatic results in quantum theory and quantum-classical coupling.This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak convergence techniques. How to use this method is shown in several general cases taken from classical and quantum mechanics. The results are applied to special problems from plasma physics, molecular dynamics and quantum chemistry. Background material from functional analysis is provided and explained to make this book accessible for a general audience of graduate students and researchers.Lecture notes in mathematics (Springer-Verlag) ;1687.Differentiable dynamical systemsHomogenization (Differential equations)Differentiable dynamical systems.Homogenization (Differential equations)515.352Bornemann Folkmar1967-62014MiAaPQMiAaPQMiAaPQBOOK9910146301603321Homogenization in time of singularly perturbed mechanical system2909932UNINA