LEADER 02915nam 2200589 a 450 001 9910463944603321 005 20200520144314.0 010 $a1-283-14406-9 010 $a9786613144065 010 $a981-4291-37-4 035 $a(CKB)3360000000001344 035 $a(EBL)731366 035 $a(OCoLC)740446057 035 $a(SSID)ssj0000522155 035 $a(PQKBManifestationID)12251541 035 $a(PQKBTitleCode)TC0000522155 035 $a(PQKBWorkID)10527995 035 $a(PQKB)11638386 035 $a(MiAaPQ)EBC731366 035 $a(WSP)00007548 035 $a(Au-PeEL)EBL731366 035 $a(CaPaEBR)ebr10479668 035 $a(CaONFJC)MIL314406 035 $a(EXLCZ)993360000000001344 100 $a20100407d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDynamical symmetry$b[electronic resource] /$fCarl E. Wulfman 210 $aSingapore ;$aHackensack, N.J. $cWorld Scientific$d2011 215 $a1 online resource (450 p.) 300 $aDescription based upon print version of record. 311 $a981-4291-36-6 320 $aIncludes bibliographical references and index. 327 $aPhysical symmetry and geometrical symmetry -- On symmetries associated with Hamiltonian dynamics -- One-parameter transformation groups -- Everywhere : local invariance -- Lie transformation groups and Lie algebras -- Dynamical symmetry in Hamiltonian mechanics -- Symmetries of classical Kepler motion -- Dynamical symmetry in Schro?dinger quantum mechanics -- Spectrum-generating Lie algebras and groups admitted by Schro?edinger equations -- Dynamical symmetry of regularized hydrogen-like atoms -- Uncovering approximate dynamical symmetries : examples from atomic and molecular physics -- Rovibronic systems -- Dynamical symmetry of Maxwell's equations. 330 $aWhenever systems are governed by continuous chains of causes and effects, their behavior exhibits the consequences of dynamical symmetries, many of them far from obvious. ""Dynamical Symmetry"" introduces the reader to Sophus Lie's discoveries of the connections between differential equations and continuous groups that underlie this observation. It develops and applies the mathematical relations between dynamics and geometry that result. Systematic methods for uncovering dynamical symmetries are described, and put to use. Much material in the book is new and some has only recently appeared in 606 $aSymmetry (Physics) 606 $aHamiltonian systems 608 $aElectronic books. 615 0$aSymmetry (Physics) 615 0$aHamiltonian systems. 676 $a530.15/539 700 $aWulfman$b Carl$0901896 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910463944603321 996 $aDynamical symmetry$92015891 997 $aUNINA