02882nam 2200577 a 450 991078857410332120230725045611.01-283-14406-99786613144065981-4291-37-4(CKB)3360000000001344(EBL)731366(OCoLC)740446057(SSID)ssj0000522155(PQKBManifestationID)12251541(PQKBTitleCode)TC0000522155(PQKBWorkID)10527995(PQKB)11638386(MiAaPQ)EBC731366(WSP)00007548(Au-PeEL)EBL731366(CaPaEBR)ebr10479668(CaONFJC)MIL314406(EXLCZ)99336000000000134420100407d2011 uy 0engur|n|---|||||txtccrDynamical symmetry[electronic resource] /Carl E. WulfmanSingapore ;Hackensack, N.J. World Scientific20111 online resource (450 p.)Description based upon print version of record.981-4291-36-6 Includes bibliographical references and index.Physical 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 Schrödinger quantum mechanics -- Spectrum-generating Lie algebras and groups admitted by Schröedinger 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.Whenever 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 Symmetry (Physics)Hamiltonian systemsSymmetry (Physics)Hamiltonian systems.530.15/539Wulfman Carl1515849MiAaPQMiAaPQMiAaPQBOOK9910788574103321Dynamical symmetry3751881UNINA