001441006 000__ 03869cam\a2200553\i\4500 001441006 001__ 1441006 001441006 003__ OCoLC 001441006 005__ 20230309004714.0 001441006 006__ m\\\\\o\\d\\\\\\\\ 001441006 007__ cr\un\nnnunnun 001441006 008__ 211122s2021\\\\si\a\\\\ob\\\\001\0\eng\d 001441006 019__ $$a1285672326$$a1285727450$$a1285772452$$a1285779390$$a1294367978 001441006 020__ $$a9789811666544$$q(electronic bk.) 001441006 020__ $$a9811666547$$q(electronic bk.) 001441006 020__ $$z9789811666537$$q(print) 001441006 020__ $$z9811666539 001441006 0247_ $$a10.1007/978-981-16-6654-4$$2doi 001441006 035__ $$aSP(OCoLC)1285941871 001441006 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dOCLCO$$dDCT$$dOCLCQ$$dOCLCO$$dUKAHL$$dOCLCQ 001441006 049__ $$aISEA 001441006 050_4 $$aQC174.8 001441006 08204 $$a530.13/3$$223 001441006 1001_ $$aSaravanan, Rajendran,$$eauthor. 001441006 24510 $$aSolvable one-dimensional multi-state models for statistical and quantum mechanics /$$cRajendran Saravanan, Aniruddha Chakraborty. 001441006 264_1 $$aSingapore :$$bSpringer,$$c2021. 001441006 300__ $$a1 online resource (xix, 174 pages) :$$billustrations (some color) 001441006 336__ $$atext$$btxt$$2rdacontent 001441006 337__ $$acomputer$$bc$$2rdamedia 001441006 338__ $$aonline resource$$bcr$$2rdacarrier 001441006 347__ $$atext file 001441006 347__ $$bPDF 001441006 504__ $$aIncludes bibliographical references and index. 001441006 5050_ $$aChapter 1. Introduction -- Chapter 2. Mathematical methods for solving multi-state Smoluchowski equations -- Chapter 3. Investigation of Wave packet dynamics using the presented time-domain method -- Chapter 4. Summary & future scope -- References. 001441006 506__ $$aAccess limited to authorized users. 001441006 520__ $$aThis book highlights the need for studying multi-state models analytically for understanding the physics of molecular processes. An intuitive picture about recently solved models of statistical and quantum mechanics is drawn along with presenting the methods developed to solve them. The models are relevant in the context of molecular processes taking place in gaseous phases and condensed phases, emphasized in the introduction. Chapter 1 derives the arisal of multi-state models for molecular processes from the full Hamiltonian description. The model equations are introduced and the literature review presented in short. In Chapter 2, the time-domain methods to solve Smoluchowski-based reaction-diffusion systems with single-state and two-state descriptions are discussed. Their corresponding analytical results derive new equilibrium concepts in reversible reactions and studies the effect of system and molecular parameters in condensed-phase chemical dynamics. In Chapter 3, time-domain methods to solve quantum scattering problems are developed. Along side introducing a brand new solvable model in quantum scattering, it discusses transient features of quantum two-state models. In interest with electronic transitions, a new solvable two-state model with localized non-adiabatic coupling is also presented. The book concludes by proposing the future scope of the model, thereby inviting new research in this fundamentally important and rich applicable field. 001441006 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 22, 2021). 001441006 650_0 $$aStatistical mechanics. 001441006 650_0 $$aQuantum statistics. 001441006 650_6 $$aMécanique statistique. 001441006 650_6 $$aStatistique quantique. 001441006 655_0 $$aElectronic books. 001441006 7001_ $$aChakraborty, Aniruddha,$$eauthor. 001441006 77608 $$iPrint version:$$aSaravanan, Rajendran.$$tSolvable one-dimensional multi-state models for statistical and quantum mechanics.$$dSingapore : Springer, 2021$$z9811666539$$z9789811666537$$w(OCoLC)1266255819 001441006 852__ $$bebk 001441006 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-6654-4$$zOnline Access$$91397441.1 001441006 909CO $$ooai:library.usi.edu:1441006$$pGLOBAL_SET 001441006 980__ $$aBIB 001441006 980__ $$aEBOOK 001441006 982__ $$aEbook 001441006 983__ $$aOnline 001441006 994__ $$a92$$bISE