LEADER 03732nam 2200613Ia 450 001 9910784983803321 005 20230617041626.0 010 $a1-281-86713-6 010 $a9786611867133 010 $a1-86094-918-5 035 $a(CKB)1000000000408500 035 $a(StDuBDS)AH24683078 035 $a(SSID)ssj0000123020 035 $a(PQKBManifestationID)11132436 035 $a(PQKBTitleCode)TC0000123020 035 $a(PQKBWorkID)10132382 035 $a(PQKB)10353415 035 $a(MiAaPQ)EBC1681524 035 $a(WSP)0000P376 035 $a(Au-PeEL)EBL1681524 035 $a(CaPaEBR)ebr10201203 035 $a(CaONFJC)MIL186713 035 $a(OCoLC)748530862 035 $a(EXLCZ)991000000000408500 100 $a20060411d2005 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aClassical and quantum dissipative systems$b[electronic resource] /$fMohsen Razavy 210 $aLondon $cImperial College$d2005 215 $a1 online resource (350p. ) $cillustrations 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-86094-530-9 311 $a1-86094-525-2 320 $aIncludes bibliographical references and index. 327 $aPhenomenological Equations of Motion for Dissipative Systems; Lagrangian Hamiltonian and Hamilton-Jacobi Formulation of the Classical Dissipative Systems; Noether's Theorem and Non-Noether Conservation Laws; Dissipative Forces Derived from Many-Body Problems; A Particle Coupled to a Field and the Damped Motion of a Central Particle Coupled to a Heat Bath; Quantization of Dissipative Systems in General and of Explicitly Time-Dependent Hamiltonians in Particular; Density Matrix and the Wigner Distribution Function for Damped Systems; Path Integral Formulation of a Damped Harmonic Oscillator; Quantization of the Motion of an Infinite Chain; Heisenberg's Equations of Motion for a Particle Coupled to a Heat Bath; Quantum Mechanical Models of Dissipative Systems and the Concept of Optical Potential. 330 $a"This book discusses issues associated with the quantum mechanical formulation of dissipative systems. It begins with an introductory review of phenomenological damping forces, and the construction of the Lagrangian and Hamiltonian for the damped motion. It is shown, in addition to these methods, that classical dissipative forces can also be derived from solvable many-body problems. A detailed discussion of these derived forces and their dependence on dynamical variables is also presented. The second part of this book investigates the use of classical formulation in the quantization of dynamical systems under the influence of dissipative forces. The results show that, while a satisfactory solution to the problem cannot be found, different formulations represent different approximations to the complete solution of two interacting systems. The third and final part of the book focuses on the problem of dissipation in interacting quantum mechanical systems, as well as the connection of some of these models to their classical counterparts. A number of important applications, such as the theory of heavy-ion scattering and the motion of a radiating electron, are also discussed." 606 $aEnergy dissipation 606 $aQuantum theory 606 $aMechanics 615 0$aEnergy dissipation. 615 0$aQuantum theory. 615 0$aMechanics. 676 $a531.1 700 $aRazavy$b Mohsen$0624025 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910784983803321 996 $aClassical and quantum dissipative systems$91096161 997 $aUNINA