LEADER 02813nam 2200625 450 001 9910146301603321 005 20220909022955.0 010 $a3-540-69784-5 024 7 $a10.1007/BFb0092091 035 $a(CKB)1000000000437326 035 $a(SSID)ssj0000323820 035 $a(PQKBManifestationID)12114818 035 $a(PQKBTitleCode)TC0000323820 035 $a(PQKBWorkID)10303301 035 $a(PQKB)11478910 035 $a(DE-He213)978-3-540-69784-8 035 $a(MiAaPQ)EBC5595587 035 $a(Au-PeEL)EBL5595587 035 $a(OCoLC)1076260481 035 $a(MiAaPQ)EBC6842047 035 $a(Au-PeEL)EBL6842047 035 $a(OCoLC)1294145391 035 $a(PPN)155181165 035 $a(EXLCZ)991000000000437326 100 $a20220909d1998 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aHomogenization in time of singularly perturbed mechanical system /$fFolkmar Bornemann 205 $a1st ed. 1998. 210 1$aBerlin :$cSpringer-Verlag,$d[1998] 210 4$dİ1998 215 $a1 online resource (XIV, 158 p.) 225 1 $aLecture notes in mathematics ;$v1687 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-64447-4 320 $aIncludes bibliographical references and index. 327 $aHomogenization of natural mechanical systems with a strong constraining potential -- Applications -- Adiabatic results in quantum theory and quantum-classical coupling. 330 $aThis book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak convergence techniques. How to use this method is shown in several general cases taken from classical and quantum mechanics. The results are applied to special problems from plasma physics, molecular dynamics and quantum chemistry. Background material from functional analysis is provided and explained to make this book accessible for a general audience of graduate students and researchers. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1687. 606 $aDifferentiable dynamical systems 606 $aHomogenization (Differential equations) 615 0$aDifferentiable dynamical systems. 615 0$aHomogenization (Differential equations) 676 $a515.352 700 $aBornemann$b Folkmar$f1967-$062014 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146301603321 996 $aHomogenization in time of singularly perturbed mechanical system$92909932 997 $aUNINA