001437702 000__ 04613cam\a2200577\i\4500
001437702 001__ 1437702
001437702 003__ OCoLC
001437702 005__ 20230309004228.0
001437702 006__ m\\\\\o\\d\\\\\\\\
001437702 007__ cr\cn\nnnunnun
001437702 008__ 210701t20212021si\a\\\\ob\\\\001\0\eng\d
001437702 019__ $$a1258670604$$a1266809057$$a1282250005$$a1285801983
001437702 020__ $$a9789811623738$$q(electronic bk.)
001437702 020__ $$a9811623732$$q(electronic bk.)
001437702 020__ $$z9789811623721
001437702 020__ $$z9811623724
001437702 0247_ $$a10.1007/978-981-16-2373-8$$2doi
001437702 035__ $$aSP(OCoLC)1258245286
001437702 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dOCLCO$$dYDX$$dEBLCP$$dOCLCF$$dDCT$$dUKAHL$$dOCLCO$$dOCLCQ$$dCOM$$dOCLCQ$$dLIP$$dWAU
001437702 049__ $$aISEA
001437702 050_4 $$aQC794.6.S3$$bE43 2021
001437702 08204 $$a539.7/58$$223
001437702 1001_ $$aEmamirad, Hassan,$$eauthor.
001437702 24510 $$aScattering theory for transport phenomena /$$cHassan Emamirad.
001437702 264_1 $$aSingapore :$$bSpringer,$$c[2021]
001437702 264_4 $$c©2021
001437702 300__ $$a1 online resource (xxi, 179 pages) :$$billustrations.
001437702 336__ $$atext$$btxt$$2rdacontent
001437702 337__ $$acomputer$$bc$$2rdamedia
001437702 338__ $$aonline resource$$bcr$$2rdacarrier
001437702 347__ $$atext file$$2rdaft
001437702 347__ $$bPDF
001437702 4901_ $$aMathematical physics studies,$$x0921-3767
001437702 504__ $$aIncludes bibliographical references (pages 171-175) and index.
001437702 5050_ $$aSemigroups of linear operators -- Wave and scattering operators -- Existence of the wave operators for the transport equation -- The Lax and Phillips formalism for the transport problems -- Scattering theory for a charged particle transport problem -- Relationship between the Albedo and scattering operators -- Scattering theory for quantum transport equation.
001437702 506__ $$aAccess limited to authorized users.
001437702 520__ $$a"The scattering theory for transport phenomena was initiated by P. Lax and R. Phillips in 1967. Since then, great progress has been made in the field and the work has been ongoing for more than half a century. This book shows part of that progress. The book is divided into 7 chapters, the first of which deals with preliminaries of the theory of semigroups and C*-algebra, different types of semigroups, Schatten-von Neuman classes of operators, and facts about ultraweak operator topology, with examples using wavelet theory. Chapter 2 goes into abstract scattering theory in a general Banach space. The wave and scattering operators and their basic properties are defined. Some abstract methods such as smooth perturbation and the limiting absorption principle are also presented. Chapter 3 is devoted to the transport or linearized Boltzmann equation, and in Chapter 4 the Lax and Phillips formalism is introduced in scattering theory for the transport equation. In their seminal book, Lax and Phillips introduced the incoming and outgoing subspaces, which verify their representation theorem for a dissipative hyperbolic system initially and also matches for the transport problem. By means of these subspaces, the Lax and Phillips semigroup is defined and it is proved that this semigroup is eventually compact, hence hyperbolic. Balanced equations give rise to two transport equations, one of which can satisfy an advection equation and one of which will be nonautonomous. For generating, the Howland semigroup and Howland's formalism must be used, as shown in Chapter 5. Chapter 6 is the highlight of the book, in which it is explained how the scattering operator for the transport problem by using the albedo operator can lead to recovery of the functionality of computerized tomography in medical science. The final chapter introduces the Wigner function, which connects the Schrödinger equation to statistical physics and the Husimi distribution function. Here, the relationship between the Wigner function and the quantum dynamical semigroup (QDS) can be seen"--Print version, page 4 of cover.
001437702 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 1, 2021).
001437702 650_0 $$aScattering (Physics)
001437702 650_0 $$aTransport theory.
001437702 650_6 $$aDiffusion (Physique nucléaire)
001437702 650_6 $$aThéorie du transport.
001437702 655_0 $$aElectronic books.
001437702 77608 $$iPrint version:$$aEmamirad, Hassan.$$tScattering theory for transport phenomena.$$dSingapore : Springer, [2021]$$z9811623724$$z9789811623721$$w(OCoLC)1245659629
001437702 830_0 $$aMathematical physics studies.$$x0921-3767
001437702 852__ $$bebk
001437702 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-2373-8$$zOnline Access$$91397441.1
001437702 909CO $$ooai:library.usi.edu:1437702$$pGLOBAL_SET
001437702 980__ $$aBIB
001437702 980__ $$aEBOOK
001437702 982__ $$aEbook
001437702 983__ $$aOnline
001437702 994__ $$a92$$bISE