LEADER 03907nam 22007094a 450 001 9910811102403321 005 20200520144314.0 010 $a1-107-13095-6 010 $a1-280-43335-3 010 $a9786610433353 010 $a0-511-17828-X 010 $a0-511-04162-4 010 $a0-511-14877-1 010 $a0-511-30551-6 010 $a0-511-53516-3 010 $a0-511-04386-4 035 $a(CKB)1000000000008304 035 $a(EBL)202159 035 $a(OCoLC)437432476 035 $a(SSID)ssj0000266758 035 $a(PQKBManifestationID)11206781 035 $a(PQKBTitleCode)TC0000266758 035 $a(PQKBWorkID)10304875 035 $a(PQKB)10059985 035 $a(UkCbUP)CR9780511535161 035 $a(MiAaPQ)EBC202159 035 $a(Au-PeEL)EBL202159 035 $a(CaPaEBR)ebr10062686 035 $a(CaONFJC)MIL43335 035 $a(PPN)261328433 035 $a(EXLCZ)991000000000008304 100 $a20020430d2003 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aVariational principles and methods in theoretical physics and chemistry /$fRobert K. Nesbet 205 $a1st ed. 210 $aNew York $cCambridge University Press$d2003 215 $a1 online resource (xiv, 229 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-67575-8 311 $a0-521-80391-8 320 $aIncludes bibliographical references (p. 205-223) and index. 327 $gI.$tClassical mathematics and physics --$g1.$tHistory of variational theory --$g2.$tClassical mechanics --$g3.$tApplied mathematics --$gII.$tBound states in quantum mechanics --$g4.$tTime-independent quantum mechanics --$g5.$tIndependent-electron models --$g6.$tTime-dependent theory and linear response --$gIII.$tContinuum states and scattering theory --$g7.$tMultiple scattering theory for molecules and solids --$g8.$tVariational methods for continuum states --$g9.$tElectron-impact rovibrational excitation of molecules --$gIV.$tField theories --$g10.$tRelativistic Lagrangian theories. 330 $aThis book brings together the essential ideas and methods behind applications of variational theory in theoretical physics and chemistry. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism. The text begins with an historical survey of familiar variational principles in classical mechanics and optimization theory, then proceeds to develop the variational principles and formalism behind current computational methodology for bound and continuum quantum states of interacting electrons in atoms, molecules, and condensed matter. It covers multiple-scattering theory, including a detailed presentation of contemporary methodology for electron-impact rotational and vibrational excitation of molecules. The book ends with an introduction to the variational theory of relativistic fields. Ideal for graduate students and researchers in any field that uses variational methodology, this book is particularly suitable as a backup reference for lecture courses in mathematical methods in physics and theoretical chemistry. 606 $aCalculus of variations 606 $aMathematical physics 606 $aChemistry, Physical and theoretical$xMathematics 615 0$aCalculus of variations. 615 0$aMathematical physics. 615 0$aChemistry, Physical and theoretical$xMathematics. 676 $a530.15/564 700 $aNesbet$b R. K$01663458 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811102403321 996 $aVariational principles and methods in theoretical physics and chemistry$94020786 997 $aUNINA