03068nam 2200673 a 450 991046392210332120200520144314.01-283-14476-X9786613144768981-4313-73-4(CKB)3360000000001396(EBL)731099(OCoLC)741492796(SSID)ssj0000522861(PQKBManifestationID)12150235(PQKBTitleCode)TC0000522861(PQKBWorkID)10538807(PQKB)10932170(MiAaPQ)EBC731099(WSP)00001187 (PPN)158737822(Au-PeEL)EBL731099(CaPaEBR)ebr10480121(CaONFJC)MIL314476(EXLCZ)99336000000000139620110303d2011 uy 0engur|n|---|||||txtccrGeometric formulation of classical and quantum mechanics[electronic resource] /Giovanni Giachetta, Luigi Mangiarotti, Gennadi SardanashvilySingapore ;Hackensack, N.J. ;London World Scientificc20111 online resource (400 p.)Description based upon print version of record.981-4313-72-6 Includes bibliographical references and index.Preface; Contents; Introduction; 1. Dynamic equations; 2. Lagrangian mechanics; 3. Hamiltonian mechanics; 4. Algebraic quantization; 5. Geometric quantization; 6. Constraint Hamiltonian systems; 7. Integrable Hamiltonian systems; 8. Jacobi fields; 9. Mechanics with time-dependent parameters; 10. Relativistic mechanics; 11. Appendices; Bibliography; IndexThe geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. The literature on this subject is extensive. The present book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame transformations. This formulation of mechanics as like as that of classical field theory lies in the framework of general theory of dynamic systems, and Lagrangian and Hamiltonian formalisms on fiber bundles. The reader will find a strict mathematical exposition of non-aStatistical mechanicsQuantum theoryMathematicsGeometry, DifferentialMathematical physicsElectronic books.Statistical mechanics.Quantum theoryMathematics.Geometry, Differential.Mathematical physics.530.155353Giachetta G61715Magiaradze L. G891942Sardanashvili G. A(Gennadiĭ Aleksandrovich)891943MiAaPQMiAaPQMiAaPQBOOK9910463922103321Geometric formulation of classical and quantum mechanics1992036UNINA