LEADER 00956nam2-22003371i-450- 001 990002003950403321 005 20090409122714.0 035 $a000200395 035 $aFED01000200395 035 $a(Aleph)000200395FED01 035 $a000200395 100 $a20030910d1906----km-y0itay50------ba 101 0 $aeng 102 $aGB 200 1 $aMollusca$fPaul Pelseener 210 $aLondra$cAdam & Charles Black$d1906 215 $a355 p.$cill.$d23 cm 225 1 $a<>treatise on zoology$fedited by E. Ray Lankester$v5 461 0$1001000200423$12001$a<>treatise on zoology 610 0 $aMolluschi 610 0 $aZoologia$aTrattati 676 $a594 700 1$aPelseneer,$bPaul$084673 702 1$aLankester,$bEdwin Ray$c 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990002003950403321 952 $a61 II A.5/21.1$b129$fDAGEN 959 $aDAGEN 996 $aMollusca$9403020 997 $aUNINA LEADER 05235nam 2200649 a 450 001 9910810225403321 005 20240516184319.0 010 $a9781118400593 010 $a1118400593 010 $a9781118400586 010 $a1118400585 010 $a9781283665049 010 $a1283665042 010 $a9781118400609 010 $a1118400607 035 $a(CKB)4330000000001375 035 $a(MiAaPQ)EBC4034848 035 $a(MiAaPQ)EBC947708 035 $a(DLC) 2012028564 035 $a(Au-PeEL)EBL947708 035 $a(CaPaEBR)ebr10612548 035 $a(CaONFJC)MIL397754 035 $a(OCoLC)815650925 035 $a(Perlego)2773843 035 $a(EXLCZ)994330000000001375 100 $a20120710d2013 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aQuantum dynamics for classical systems $ewith applications of the number operator /$fFabio Bagarello 205 $a1st ed. 210 $aHoboken $cWiley$d2013 215 $a1 online resource (203 pages) $cillustrations, graphs 311 08$a9781118370681 311 08$a1118370686 320 $aIncludes bibliographical references and index. 327 $aIntro -- QUANTUM DYNAMICS FOR CLASSICAL SYSTEMS -- CONTENTS -- PREFACE -- ACKNOWLEDGMENTS -- 1 WHY A QUANTUM TOOL IN CLASSICAL CONTEXTS? -- 1.1 A First View of (Anti-)Commutation Rules -- 1.2 Our Point of View -- 1.3 Do Not Worry About Heisenberg! -- 1.4 Other Appearances of Quantum Mechanics in Classical Problems -- 1.5 Organization of the Book -- 2 SOME PRELIMINARIES -- 2.1 The Bosonic Number Operator -- 2.2 The Fermionic Number Operator -- 2.3 Dynamics for a Quantum System -- 2.3.1 Schrödinger Representation -- 2.3.2 Heisenberg Representation -- 2.3.3 Interaction Representation -- 2.4 Heisenberg Uncertainty Principle -- 2.5 Some Perturbation Schemes in Quantum Mechanics -- 2.5.1 A Time-Dependent Point of View -- 2.5.2 Feynman Graphs -- 2.5.3 Dyson's Perturbation Theory -- 2.5.4 The Stochastic Limit -- 2.6 Few Words on States -- 2.7 Getting an Exponential Law from a Hamiltonian -- 2.7.1 Non-Self-Adjoint Hamiltonians for Damping -- 2.8 Green's Function -- I SYSTEMS WITH FEW ACTORS -- 3 LOVE AFFAIRS -- 3.1 Introduction and Preliminaries -- 3.2 The First Model -- 3.2.1 Numerical Results for M > -- 1 -- 3.3 A Love Triangle -- 3.3.1 Another Generalization -- 3.4 Damped Love Affairs -- 3.4.1 Some Plots -- 3.5 Comparison with Other Strategies -- 4 MIGRATION AND INTERACTION BETWEEN SPECIES -- 4.1 Introduction and Preliminaries -- 4.2 A First Model -- 4.3 A Spatial Model -- 4.3.1 A Simple Case: Equal Coefficients -- 4.3.2 Back to the General Case: Migration -- 4.4 The Role of a Reservoir -- 4.5 Competition Between Populations -- 4.6 Further Comments -- 5 LEVELS OF WELFARE: THE ROLE OF RESERVOIRS -- 5.1 The Model -- 5.2 The Small l Regime -- 5.2.1 The Sub-Closed System -- 5.2.2 And Now, the Reservoirs! -- 5.3 Back to S -- 5.3.1 What If M = 2? -- 5.4 Final Comments -- 6 AN INTERLUDE: WRITING THE HAMILTONIAN -- 6.1 Closed Systems -- 6.2 Open Systems. 327 $a6.3 Generalizations -- II SYSTEMS WITH MANY ACTORS -- 7 A FIRST LOOK AT STOCK MARKETS -- 7.1 An Introductory Model -- 8 ALL-IN-ONE MODELS -- 8.1 The Genesis of the Model -- 8.1.1 The Effective Hamiltonian -- 8.2 A Two-Traders Model -- 8.2.1 An Interlude: the Definition of cP -- 8.2.2 Back to the Model -- 8.3 Many Traders -- 8.3.1 The Stochastic Limit of the Model -- 8.3.2 The FPL Approximation -- 9 MODELS WITH AN EXTERNAL FIELD -- 9.1 The Mixed Model -- 9.1.1 Interpretation of the Parameters -- 9.2 A Time-Dependent Point of View -- 9.2.1 First-Order Corrections -- 9.2.2 Second-Order Corrections -- 9.2.3 Feynman Graphs -- 9.3 Final Considerations -- 10 CONCLUSIONS -- 10.1 Other Possible Number Operators -- 10.1.1 Pauli Matrices -- 10.1.2 Pseudobosons -- 10.1.3 Nonlinear Pseudobosons -- 10.1.4 Algebra for an M + 1 Level System -- 10.2 What Else? -- BIBLIOGRAPHY -- INDEX. 330 $a"With a focus on the relationship between quantum mechanics and social science, this book introduces the main ideas of number operators while avoiding excessive technicalities that aren't necessary in understanding the various mathematical applications. It discusses the use of mathematical tools related to quantum mechanics and features applications in finance, biology, and social science; systematically shows how to use creation and annihilation operators for classical problems; and addresses the recent increase in research and literature on the many applications of quantum tools in applied mathematics"--$cProvided by publisher. 606 $aSocial sciences$xMathematics 606 $aBusiness mathematics 606 $aQuantum theory$xMathematics 615 0$aSocial sciences$xMathematics. 615 0$aBusiness mathematics. 615 0$aQuantum theory$xMathematics. 676 $a300.1/53012 686 $aMAT031000$2bisacsh 700 $aBagarello$b Fabio$f1964-$0299820 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910810225403321 996 $aQuantum dynamics for classical systems$9264795 997 $aUNINA