LEADER 03033nam 2200673 a 450 001 9910814792603321 005 20240516082902.0 010 $a1-283-14476-X 010 $a9786613144768 010 $a981-4313-73-4 035 $a(CKB)3360000000001396 035 $a(EBL)731099 035 $a(OCoLC)741492796 035 $a(SSID)ssj0000522861 035 $a(PQKBManifestationID)12150235 035 $a(PQKBTitleCode)TC0000522861 035 $a(PQKBWorkID)10538807 035 $a(PQKB)10932170 035 $a(MiAaPQ)EBC731099 035 $a(WSP)00001187 035 $a(Au-PeEL)EBL731099 035 $a(CaPaEBR)ebr10480121 035 $a(CaONFJC)MIL314476 035 $a(PPN)158737822 035 $a(EXLCZ)993360000000001396 100 $a20110303d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometric formulation of classical and quantum mechanics /$fGiovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvily 205 $a1st ed. 210 $aSingapore ;$aHackensack, N.J. ;$aLondon $cWorld Scientific$dc2011 215 $a1 online resource (400 p.) 300 $aDescription based upon print version of record. 311 $a981-4313-72-6 320 $aIncludes bibliographical references and index. 327 $aPreface; 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; Index 330 $aThe 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-a 606 $aStatistical mechanics 606 $aQuantum theory$xMathematics 606 $aGeometry, Differential 606 $aMathematical physics 615 0$aStatistical mechanics. 615 0$aQuantum theory$xMathematics. 615 0$aGeometry, Differential. 615 0$aMathematical physics. 676 $a530.155353 700 $aGiachetta$b G$061715 701 $aMagiaradze$b L. G$01718371 701 $aSardanashvili$b G. A$g(Gennadii? Aleksandrovich)$01645538 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910814792603321 996 $aGeometric formulation of classical and quantum mechanics$94115278 997 $aUNINA