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Quantum dynamics for classical systems [[electronic resource] ] : with applications of the number operator / / Fabio Bagarello
| Quantum dynamics for classical systems [[electronic resource] ] : with applications of the number operator / / Fabio Bagarello |
| Autore | Bagarello Fabio <1964-> |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2013 |
| Descrizione fisica | 1 online resource (203 pages) : illustrations, graphs |
| Disciplina | 300.1/53012 |
| Soggetto topico |
Social sciences - Mathematics
Business mathematics Quantum theory - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-40059-3
1-118-40058-5 1-283-66504-2 1-118-40060-7 |
| Classificazione | MAT031000 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910208835703321 |
Bagarello Fabio <1964->
|
||
| Hoboken, : Wiley, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum dynamics for classical systems : with applications of the number operator / / Fabio Bagarello
| Quantum dynamics for classical systems : with applications of the number operator / / Fabio Bagarello |
| Autore | Bagarello Fabio <1964-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hoboken, : Wiley, 2013 |
| Descrizione fisica | 1 online resource (203 pages) : illustrations, graphs |
| Disciplina | 300.1/53012 |
| Soggetto topico |
Social sciences - Mathematics
Business mathematics Quantum theory - Mathematics |
| ISBN |
1-118-40059-3
1-118-40058-5 1-283-66504-2 1-118-40060-7 |
| Classificazione | MAT031000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- 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.
6.3 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. |
| Record Nr. | UNINA-9910810225403321 |
|
Bagarello Fabio <1964->
|
||
| Hoboken, : Wiley, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum social science / / Emmanuel Haven and Andrei Yu. Khrennikov [[electronic resource]]
| Quantum social science / / Emmanuel Haven and Andrei Yu. Khrennikov [[electronic resource]] |
| Autore | Haven Emmanuel <1965-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xxiii, 279 pages) : digital, PDF file(s) |
| Disciplina | 300.1/53012 |
| Soggetto topico |
Social sciences - Mathematical models
Quantum theory |
| ISBN |
1-139-85385-6
1-107-23483-2 1-139-00326-7 1-139-84477-6 1-139-84122-X 1-283-94293-3 1-139-84003-7 1-139-84575-6 1-139-84241-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Physics Concepts in Social Science? A Discussion. Classical, statistical and quantum mechanics: all in one ; Econophysics: statistical physics and social science ; Quantum social science: a non-mathematical motivation. -- Part II. Mathematics and Physics Preliminaries. Vector calculus and other mathematical preliminaries ; Basic elements of quantum mechanics ; Basic elements of Bohmian mechanics. -- Part III. Quantum Probabilistic Effects in Psychology: Basic Questions and Answers. A brief overview ; Interference effects in psychology -- an introduction ; A quantum-like model of decision making. -- Part IV. Other Quantum Probabilistic Effects in Economics, Finance and Brain Sciences. Financial/economic theory in crisis ; Bohmian mechanics in finance and economics ; The Bohm-Vigier Model and path simulation ; Other applications to economic/financial theory ; The neurophysiological sources of quantum-like processing in the brain. -- Conclusion. |
| Record Nr. | UNINA-9910462814703321 |
|
Haven Emmanuel <1965->
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum social science / / Emmanuel Haven and Andrei Yu. Khrennikov [[electronic resource]]
| Quantum social science / / Emmanuel Haven and Andrei Yu. Khrennikov [[electronic resource]] |
| Autore | Haven Emmanuel <1965-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xxiii, 279 pages) : digital, PDF file(s) |
| Disciplina | 300.1/53012 |
| Soggetto topico |
Social sciences - Mathematical models
Quantum theory |
| ISBN |
1-139-85385-6
1-107-23483-2 1-139-00326-7 1-139-84477-6 1-139-84122-X 1-283-94293-3 1-139-84003-7 1-139-84575-6 1-139-84241-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Physics Concepts in Social Science? A Discussion. Classical, statistical and quantum mechanics: all in one ; Econophysics: statistical physics and social science ; Quantum social science: a non-mathematical motivation. -- Part II. Mathematics and Physics Preliminaries. Vector calculus and other mathematical preliminaries ; Basic elements of quantum mechanics ; Basic elements of Bohmian mechanics. -- Part III. Quantum Probabilistic Effects in Psychology: Basic Questions and Answers. A brief overview ; Interference effects in psychology -- an introduction ; A quantum-like model of decision making. -- Part IV. Other Quantum Probabilistic Effects in Economics, Finance and Brain Sciences. Financial/economic theory in crisis ; Bohmian mechanics in finance and economics ; The Bohm-Vigier Model and path simulation ; Other applications to economic/financial theory ; The neurophysiological sources of quantum-like processing in the brain. -- Conclusion. |
| Record Nr. | UNINA-9910786029203321 |
|
Haven Emmanuel <1965->
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum social science / / Emmanuel Haven and Andrei Yu. Khrennikov
| Quantum social science / / Emmanuel Haven and Andrei Yu. Khrennikov |
| Autore | Haven Emmanuel <1965-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (xxiii, 279 pages) : digital, PDF file(s) |
| Disciplina | 300.1/53012 |
| Soggetto topico |
Social sciences - Mathematical models
Quantum theory |
| ISBN |
1-139-85385-6
1-107-23483-2 1-139-00326-7 1-139-84477-6 1-139-84122-X 1-283-94293-3 1-139-84003-7 1-139-84575-6 1-139-84241-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Physics Concepts in Social Science? A Discussion. Classical, statistical and quantum mechanics: all in one ; Econophysics: statistical physics and social science ; Quantum social science: a non-mathematical motivation. -- Part II. Mathematics and Physics Preliminaries. Vector calculus and other mathematical preliminaries ; Basic elements of quantum mechanics ; Basic elements of Bohmian mechanics. -- Part III. Quantum Probabilistic Effects in Psychology: Basic Questions and Answers. A brief overview ; Interference effects in psychology -- an introduction ; A quantum-like model of decision making. -- Part IV. Other Quantum Probabilistic Effects in Economics, Finance and Brain Sciences. Financial/economic theory in crisis ; Bohmian mechanics in finance and economics ; The Bohm-Vigier Model and path simulation ; Other applications to economic/financial theory ; The neurophysiological sources of quantum-like processing in the brain. -- Conclusion. |
| Record Nr. | UNINA-9910821339703321 |
|
Haven Emmanuel <1965->
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||