LEADER 03430nam 22005415 450 001 996466720203316 005 20200629151119.0 010 $a3-540-47718-7 024 7 $a10.1007/BFb0027649 035 $a(CKB)1000000000230641 035 $a(SSID)ssj0000324640 035 $a(PQKBManifestationID)12091437 035 $a(PQKBTitleCode)TC0000324640 035 $a(PQKBWorkID)10332238 035 $a(PQKB)11740938 035 $a(DE-He213)978-3-540-47718-1 035 $a(PPN)155179063 035 $a(EXLCZ)991000000000230641 100 $a20121227d1987 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical and Physical Aspects of Stochastic Mechanics$b[electronic resource] /$fby Ph. Blanchard, Ph. Combe, W. Zheng 205 $a1st ed. 1987. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1987. 215 $a1 online resource (VIII, 171 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v281 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-18036-2 327 $aKinematics of stochastic diffusion processes -- Nelson stochastic dynamics ? Newtonian processes -- Global existence for diffusions with singular drifts -- Stochastic variational principles -- Two viewpoints concerning quantum and stochastic mechanics -- A non-quantal look at stochastic mechanics. 330 $aThis lecture is meant as an introduction to stochastic mechanics for graduate students. The concepts and most of the statements are formulated in precise and exact mathematical language. Nevertheless, the emphasis is on the physical concepts. The authors discuss thoroughly the aspects of stochastic mechanics in quantum mechanics, firstly as a way of quantization as proposed by E. Nelson and secondly, as a tool to give a more detailed description of microphysics within the framework of the standard form of quantum theory. Another part of their work treats stochastic mechanics as a general description of a class of dynamical systems disturbed by some isotropic translation invariant noise thus extending Nelson's theory within the framework of classical physics. The necessary tools like stochastic processes, in particular those used in mathematical physics, existence and construction of diffusion processes as well as stochastic variational principles are presented in detail. Here is certainly an excellent text on this important field of mathematical physics. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v281 606 $aPhysics 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 615 0$aPhysics. 615 14$aMathematical Methods in Physics. 615 24$aNumerical and Computational Physics, Simulation. 676 $a530.15 700 $aBlanchard$b Ph$4aut$4http://id.loc.gov/vocabulary/relators/aut$062393 702 $aCombe$b Ph$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZheng$b W$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996466720203316 996 $aMathematical and Physical Aspects of Stochastic Mechanics$92519159 997 $aUNISA