LEADER 00961nam--2200349---450- 001 990002800940203316 005 20060825111905.0 010 $a2-7073-1851-5 035 $a000280094 035 $aUSA01000280094 035 $a(ALEPH)000280094USA01 035 $a000280094 100 $a20060825h2003----km-y0itay50------ba 101 0 $afre 102 $aFR 105 $ay|||||||001yy 200 1 $a<>acacia$fClaude Simon$gpostface de Patrick Longuet 210 $aParis$cLes Éditions de Minuit$dcopyr. 2003 215 $a392 p.$d18 cm 225 2 $aDouble$v26 410 0$12001$aDouble$v26 676 $a843.914 700 1$aSIMON,$bClaude$0396104 702 1$aLONGUET,$bPatrick 801 0$aIT$bsalbc$gISBD 912 $a990002800940203316 951 $aVI.4.A. 111(II f A 1228)$b190075 L.M.$cVI.4.$d00178855 959 $aBK 969 $aUMA 979 $aANNAMARIA$b90$c20060825$lUSA01$h1119 996 $aAcacia$9102211 997 $aUNISA LEADER 04910nam 2200661Ia 450 001 9910452287103321 005 20200520144314.0 010 $a981-4460-15-X 035 $a(CKB)2550000001096036 035 $a(EBL)1275548 035 $a(OCoLC)854975164 035 $a(SSID)ssj0001076010 035 $a(PQKBManifestationID)11573704 035 $a(PQKBTitleCode)TC0001076010 035 $a(PQKBWorkID)11251297 035 $a(PQKB)10084384 035 $a(MiAaPQ)EBC1275548 035 $a(WSP)00008753 035 $a(PPN)189428430 035 $a(Au-PeEL)EBL1275548 035 $a(CaPaEBR)ebr10731522 035 $a(CaONFJC)MIL502611 035 $a(EXLCZ)992550000001096036 100 $a20130718d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aComplex quantum systems$b[electronic resource] $eanalysis of large Coulomb systems /$feditor: Heinz Siedentop 210 $a[Hackensack], NJ $cWorld Scientific$dc2013 215 $a1 online resource (303 p.) 225 1 $aLecture notes series,$x1793-0758 ;$vv. 24 300 $aDescription based upon print version of record. 311 $a981-4460-14-1 311 $a1-299-71360-2 320 $aIncludes bibliographical references. 327 $aCONTENTS; Foreword; Preface; Stability of Matter Rafael D. Benguria and Benjam?n A. Loewe; 1. Introduction: The stability of quantum systems: A historical overview; 2. Stability of Matter: The classical proof of Lieb and Thirring; 2.1. Stability of the hydrogen atom in non-relativistic quantum mechanics; 2.2. Stability of a system of N electrons in non-relativistic quantum mechanics; 2.3. Stability of a many particle system via Thomas-Fermi theory; 2.4. Bibliographical remarks; 3. Lieb-Thirring Inequalities 327 $a3.1. Use of commutation methods to prove the Lieb-Thirring inequality for = 3/2 in dimension 13.2. The Eden-Foias bound ([46]); 3.3. Bibliographical remarks; 4. Electrostatic Inequalities; 5. The Maximum Number of Electrons an Atom Can Bind; 5.1. The maximum number of electrons for a one center case in the Thomas-Fermi model; 5.2. Bound on Nc(Z) for the TFW model in the atomic case; 6. The Stability of Matter for a Relativistic Toy Model; 6.1. Bibliographical remarks; 7. A New Lieb-Oxford Bound with Gradient Corrections; Acknowledgments; Appendix: A Short History of the Atom; References 327 $aMathematical Density and Density Matrix Functional Theory (DFT and DMFT) Volker Bach1. Introduction; 2. Exchange Correlation and LDA; 3. Kinetic Energy and Lieb-Thirring Inequality; 4. Thomas-Fermi Theory and Stability of Matter; 5. Hartree-Fock Theory; 6. Correlation Estimate Improving the Lieb-Oxford Inequality; 7. Accuracy of the Hartree-Fock Approximation for Large Neutral Atoms; 8. N-Representability; Acknowledgments; References; On the Dynamics of a Fermi Gas in a Random Medium with Dynamical Hartree-Fock Interactions Thomas Chen; 1. Introduction; Acknowledgment 327 $aReferencesOn the Minimization of Hamiltonians over Pure Gaussian States Jan Derezinski, Marcin Napiorkowski, and Jan Philip Solovej; 1. Introduction; Acknowledgments; 2. Preliminaries; 2.1. 2nd quantization; 2.2. Wick quantization; 2.3. Bogoliubov transformations; 2.4. Pure Gaussian states; 3. Main Result; References; Variational Approach to Electronic Structure Calculations on Second-Order Reduced Density Matrices and the N-Representability Problem Maho Nakata, Mituhiro Fukuda, and Katsuki Fujisawa; 1. Introduction; 2. The Reduced-Density-Matrix Method; 2.1. Pure states and ensemble states 327 $a2.2. The first-order and second-order reduced density matrices 330 $aThis volume is based on lectures given during the program Complex Quantum Systems held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many body methods originating from quantum information, and - the most complex - semirelativistic quantum electrodynamics. 410 0$aLecture notes series (National University of Singapore. Institute for Mathematical Sciences) ;$vv. 24. 606 $aQuantum statistics 606 $aQuantum electrodynamics$xMathematics 608 $aElectronic books. 615 0$aQuantum statistics. 615 0$aQuantum electrodynamics$xMathematics. 676 $a530.12 701 $aSiedentop$b Heinz$0296334 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910452287103321 996 $aComplex quantum systems$91914324 997 $aUNINA LEADER 01153cam a22002774i 4500 001 991001644059707536 008 011001s2001 it a bc 000 0 ita d 035 $ab12176643-39ule_inst 040 $aDip.to Beni Arti e Storia$bita 082 $a700.9045 245 02$aL'arte elettronica :$bmetamorfosi e metafore /$cmostra e catalogo a cura di Silvia Bordini 260 $aFerrara :$bGallerie d'arte moderna e contemporanea,$cc2001 300 $a147 p. :$bill. ;$c30 cm 500 $aCatalogo della mostra tenuta a Palazzo dei diamanti, Ferrara, 24 giugno - 2 settembre 2001 500 $aIn testa al front.: Comune di Ferrara 504 $aInclude bibliografia 650 0$aArte elettronica$vEsposizioni 650 0$aVideo art$vEsposizioni$zFerrara$y2001 700 $aBordini, Silvia 710 2 $aFerrara$bGalleria civica d'arte moderna 907 $a.b12176643$b21-09-06$c28-05-03 912 $a991001644059707536 945 $aLE019 A14 AR A 25$g1$i2019000012904$lle019$op$pE0.00$q-$rl$s- $t0$u4$v2$w4$x0$y.i12526009$z28-05-03 996 $aArte elettronica$9145084 997 $aUNISALENTO 998 $ale019$b28-05-03$cm$da $e-$fita$git $h2$i1