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2-D quadratic maps and 3-D ODE systems [[electronic resource] ] : a rigorous approach / / Elhadj Zeraoulia, Julien Clinton Sprott
| 2-D quadratic maps and 3-D ODE systems [[electronic resource] ] : a rigorous approach / / Elhadj Zeraoulia, Julien Clinton Sprott |
| Autore | Zeraoulia Elhadj |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., c2010 |
| Descrizione fisica | 1 online resource (342 p.) |
| Disciplina | 515.352 |
| Altri autori (Persone) | SprottJulien C |
| Collana | World Scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Forms, Quadratic
Differential equations, Linear Bifurcation theory Differentiable dynamical systems Proof theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-14459-X
9786613144591 981-4307-75-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Acknowledgements; 1. Tools for the rigorous proof of chaos and bifurcations; 2. 2-D quadratic maps: The invertible case; 3. Classification of chaotic orbits of the general 2-D quadratic map; 4. Rigorous proof of chaos in the double-scroll system; 5. Rigorous analysis of bifurcation phenomena; Bibliography; Index |
| Record Nr. | UNINA-9910463905403321 |
Zeraoulia Elhadj
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
2-D quadratic maps and 3-D ODE systems [[electronic resource] ] : a rigorous approach / / Elhadj Zeraoulia, Julien Clinton Sprott
| 2-D quadratic maps and 3-D ODE systems [[electronic resource] ] : a rigorous approach / / Elhadj Zeraoulia, Julien Clinton Sprott |
| Autore | Zeraoulia Elhadj |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., c2010 |
| Descrizione fisica | 1 online resource (342 p.) |
| Disciplina | 515.352 |
| Altri autori (Persone) | SprottJulien C |
| Collana | World Scientific series on nonlinear science. Series A, Monographs and treatises |
| Soggetto topico |
Forms, Quadratic
Differential equations, Linear Bifurcation theory Differentiable dynamical systems Proof theory |
| ISBN |
1-283-14459-X
9786613144591 981-4307-75-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Acknowledgements; 1. Tools for the rigorous proof of chaos and bifurcations; 2. 2-D quadratic maps: The invertible case; 3. Classification of chaotic orbits of the general 2-D quadratic map; 4. Rigorous proof of chaos in the double-scroll system; 5. Rigorous analysis of bifurcation phenomena; Bibliography; Index |
| Record Nr. | UNINA-9910788556103321 |
|
Zeraoulia Elhadj
|
||
| Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
2004 new and renewable energy technologies for sustainable development, Evora, Portugal, 28 June-1 July 2004 [[electronic resource] /] / editors, Maria da Graca Carvalho, Naim Hamdia Afgan
| 2004 new and renewable energy technologies for sustainable development, Evora, Portugal, 28 June-1 July 2004 [[electronic resource] /] / editors, Maria da Graca Carvalho, Naim Hamdia Afgan |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific Pub. Co., c2007 |
| Descrizione fisica | 1 online resource (381 p.) |
| Disciplina | 333.79/4 |
| Altri autori (Persone) |
AfganNaim
CarvalhoM. G <1955-> (Maria da Graça) |
| Soggetto topico |
Renewable energy sources
Power resources Sustainable development |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-12145-2
9786611121457 981-270-743-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | CONTENTS; Chapter 1 - Renewable Energy Sources; Chapter 2 - Biomass Energy; Chapter 3 - Solar, Wind, Wave and Geothermal Energy; Chapter 4 - Greenhouse Gas Emissions; Chapter 5 - Gas Production and Utilization; Chapter 6 - Sustainability Development; Foreword |
| Record Nr. | UNINA-9910450681103321 |
| Singapore ; ; Hackensack, NJ, : World Scientific Pub. Co., c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
2004 new and renewable energy technologies for sustainable development, Evora, Portugal, 28 June-1 July 2004 [[electronic resource] /] / editors, Maria da Graca Carvalho, Naim Hamdia Afgan
| 2004 new and renewable energy technologies for sustainable development, Evora, Portugal, 28 June-1 July 2004 [[electronic resource] /] / editors, Maria da Graca Carvalho, Naim Hamdia Afgan |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific Pub. Co., c2007 |
| Descrizione fisica | 1 online resource (381 p.) |
| Disciplina | 333.79/4 |
| Altri autori (Persone) |
AfganNaim Hamdia
CarvalhoM. G <1955-> (Maria da Graça) |
| Soggetto topico |
Renewable energy sources
Power resources Sustainable development |
| ISBN |
1-281-12145-2
9786611121457 981-270-743-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | CONTENTS; Chapter 1 - Renewable Energy Sources; Chapter 2 - Biomass Energy; Chapter 3 - Solar, Wind, Wave and Geothermal Energy; Chapter 4 - Greenhouse Gas Emissions; Chapter 5 - Gas Production and Utilization; Chapter 6 - Sustainability Development; Foreword |
| Record Nr. | UNINA-9910784041303321 |
| Singapore ; ; Hackensack, NJ, : World Scientific Pub. Co., c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
ABC of physics [[electronic resource] ] : a very brief guide / / Lev Okun
| ABC of physics [[electronic resource] ] : a very brief guide / / Lev Okun |
| Autore | Okun Lev |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (169 p.) |
| Disciplina | 530 |
| Soggetto topico | Physics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4397-28-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
0.1 For whom this book is written*; Preface; 0.2 On the contents of some of the chapters; 0.3 Two beacons*; 0.4 Acknowledgments; Contents; 8.7 The emission and absorption of light; 1. The Fundamentals; 1.1 On intuition; 1.2 Space and time*; 1.3 Matter and substance*; 1.4 Motion*; 2. Units*; 2.1 Standards; 2.2 Circle and angles; 2.3 Units of time and length; 3. A Minimum of Mathematics; 3.1 Four operations of school mathematics and the imaginary unit*; 3.2 Powers of ten*; 3.3 Prefixes of the powers of ten; 3.4 Differentiation and integration; 3.5 Matrices; 4. Translational Motion*
4.1 Free particle4.2 Maximum velocity c; 4.3 Energy and momentum of a particle; 4.4 Kinetic and potential energy in Newtonian mechanics; 4.5 Momentum in Newtonian mechanics; 4.6 Space and time in relativistic mechanics; 4.7 Energy and momentum in relativistic mechanics; 4.8 Particle's mass; 4.9 Rest energy; 4.10 Massless photon; 4.11 Masses of electron and proton; 5. Rotation and Quantization; 5.1 The spin and orbital rotation*; 5.2 About vectors and tensors; 5.3 The orbital angular momentum in theory of relativity; 5.4 Identity of particles*; 5.5 Quantization of S and L* 5.6 More about spin*5.7 Fermions and bosons*; 5.8 Elementary quantum state*; 5.9 Bound states*; 6. Particles as Corpuscles and Waves; 6.1 Wave vector*; 6.2 The wave function*; 6.3 Probability amplitude*; 6.4 The role of chance in the decay*; 6.5 The role of chance in the two-slit experiments; 6.6 Uncertainty relations*; 6.7 "Correct" and "incorrect" questions*; 6.8 Schrodinger equation; 6.9 The Klein-Fock-Gordon equation; 6.10 Dirac equation; 6.11 Action; 7. More About Units*; 7.1 Units: experiment and theory; 7.2 About SI system of units; 7.3 Electron-volt; 7.4 Units in which c, = 1 7.5 On choosing the system of units8. The Hydrogen Atom*; 8.1 On potential energy; 8.2 Electron-proton interaction; 8.3 Principal quantum number; 8.4 Mass of quantum state; 8.5 Orbital quantum number; 8.6 The projections of L and S; 9. Periodic Table of Chemical Elements; 9.1 From protons to nucleons*; 9.2 Pauli exclusion principle. Fermions and bosons*; 9.3 Horizontal periods of the periodic table of elements*; 9.4 First period; 9.5 The second and third periods; 9.6 The fourth and fifth periods; 9.7 The sixth and seventh periods; 9.8 8 groups and 18 vertical columns of the table 10. Substance10.1 Molecules*; 10.2 Gases*; 10.3 Loschmidt number*; 10.4 Temperature*; 10.5 More on universal constants; 10.6 Condensed matter*; 10.7 Crystallization*; 10.8 Phase transitions*; 10.9 Superfluidity and superconductivity; 10.10 Quasiparticles; 11. Quantum Electrodynamics - QED; 11.1 QED from Dirac to Feynman*; 11.2 Lamb shift; 11.3 Positron and other antiparticles*; 11.4 Feynman diagrams*; 11.5 Backward in time; 11.6 Antiparticles*; 11.7 Positronium*; 11.8 Normal magnetic moment of the electron; 11.9 Anomalous magnetic moment of the electron: g-2; 11.10 Running coupling constant 11.11 Renormalizability of QED |
| Record Nr. | UNINA-9910451798203321 |
|
Okun Lev
|
||
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
ABC of physics [[electronic resource] ] : a very brief guide / / Lev Okun
| ABC of physics [[electronic resource] ] : a very brief guide / / Lev Okun |
| Autore | Okun Lev |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (169 p.) |
| Disciplina | 530 |
| Soggetto topico | Physics |
| ISBN | 981-4397-28-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
0.1 For whom this book is written*; Preface; 0.2 On the contents of some of the chapters; 0.3 Two beacons*; 0.4 Acknowledgments; Contents; 8.7 The emission and absorption of light; 1. The Fundamentals; 1.1 On intuition; 1.2 Space and time*; 1.3 Matter and substance*; 1.4 Motion*; 2. Units*; 2.1 Standards; 2.2 Circle and angles; 2.3 Units of time and length; 3. A Minimum of Mathematics; 3.1 Four operations of school mathematics and the imaginary unit*; 3.2 Powers of ten*; 3.3 Prefixes of the powers of ten; 3.4 Differentiation and integration; 3.5 Matrices; 4. Translational Motion*
4.1 Free particle4.2 Maximum velocity c; 4.3 Energy and momentum of a particle; 4.4 Kinetic and potential energy in Newtonian mechanics; 4.5 Momentum in Newtonian mechanics; 4.6 Space and time in relativistic mechanics; 4.7 Energy and momentum in relativistic mechanics; 4.8 Particle's mass; 4.9 Rest energy; 4.10 Massless photon; 4.11 Masses of electron and proton; 5. Rotation and Quantization; 5.1 The spin and orbital rotation*; 5.2 About vectors and tensors; 5.3 The orbital angular momentum in theory of relativity; 5.4 Identity of particles*; 5.5 Quantization of S and L* 5.6 More about spin*5.7 Fermions and bosons*; 5.8 Elementary quantum state*; 5.9 Bound states*; 6. Particles as Corpuscles and Waves; 6.1 Wave vector*; 6.2 The wave function*; 6.3 Probability amplitude*; 6.4 The role of chance in the decay*; 6.5 The role of chance in the two-slit experiments; 6.6 Uncertainty relations*; 6.7 "Correct" and "incorrect" questions*; 6.8 Schrodinger equation; 6.9 The Klein-Fock-Gordon equation; 6.10 Dirac equation; 6.11 Action; 7. More About Units*; 7.1 Units: experiment and theory; 7.2 About SI system of units; 7.3 Electron-volt; 7.4 Units in which c, = 1 7.5 On choosing the system of units8. The Hydrogen Atom*; 8.1 On potential energy; 8.2 Electron-proton interaction; 8.3 Principal quantum number; 8.4 Mass of quantum state; 8.5 Orbital quantum number; 8.6 The projections of L and S; 9. Periodic Table of Chemical Elements; 9.1 From protons to nucleons*; 9.2 Pauli exclusion principle. Fermions and bosons*; 9.3 Horizontal periods of the periodic table of elements*; 9.4 First period; 9.5 The second and third periods; 9.6 The fourth and fifth periods; 9.7 The sixth and seventh periods; 9.8 8 groups and 18 vertical columns of the table 10. Substance10.1 Molecules*; 10.2 Gases*; 10.3 Loschmidt number*; 10.4 Temperature*; 10.5 More on universal constants; 10.6 Condensed matter*; 10.7 Crystallization*; 10.8 Phase transitions*; 10.9 Superfluidity and superconductivity; 10.10 Quasiparticles; 11. Quantum Electrodynamics - QED; 11.1 QED from Dirac to Feynman*; 11.2 Lamb shift; 11.3 Positron and other antiparticles*; 11.4 Feynman diagrams*; 11.5 Backward in time; 11.6 Antiparticles*; 11.7 Positronium*; 11.8 Normal magnetic moment of the electron; 11.9 Anomalous magnetic moment of the electron: g-2; 11.10 Running coupling constant 11.11 Renormalizability of QED |
| Record Nr. | UNINA-9910779272403321 |
|
Okun Lev
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||
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced inequalities [[electronic resource] /] / George A. Anastassiou
| Advanced inequalities [[electronic resource] /] / George A. Anastassiou |
| Autore | Anastassiou George A |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2011 |
| Descrizione fisica | 1 online resource (450 p.) |
| Disciplina | 515.26 |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico | Inequalities (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-14489-1
9786613144898 981-4317-63-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction; 2. Advanced Univariate Ostrowski Type Inequalities; 3. Higher Order Ostrowski Inequalities; 4. Multidimensional Euler Identity and Optimal Multidimensional Ostrowski Inequalities; 5. More on Multidimensional Ostrowski Type Inequalities; 6. Ostrowski Inequalities on Euclidean Domains; 7. High Order Ostrowski Inequalities on Euclidean Domains; 8. Ostrowski Inequalities on Spherical Shells; 9. Ostrowski Inequalities on Balls and Shells Via Taylor{Widder Formula; 10. Multivariate Opial Type Inequalities for Functions Vanishing at an Interior Point
11. General Multivariate Weighted Opial Inequalities 12. Opial Inequalities for Widder Derivatives; 13. Opial Inequalities for Linear Differential Operators; 14. Opial Inequalities for Vector Valued Functions; 15. Opial Inequalities for Semigroups; 16. Opial Inequalities for Cosine and Sine Operator Functions; 17. Poincare Like Inequalities for Linear Differential Operators; 18. Poincare and Sobolev Like Inequalities for Widder Derivatives; 19. Poincare and Sobolev Like Inequalities for Vector Valued Functions; 20. Poincare Type Inequalities for Semigroups, Cosine and Sine Operator Functions 21. Hardy-Opial Type Inequalities 22. A Basic Sharp Integral Inequality; 23. Estimates of the Remainder in Taylor's Formula; 24. The Distributional Taylor Formula; 25. Chebyshev-Gruss Type Inequalities Using Euler Type and Fink Identities; 26. Gruss Type Multivariate Integral Inequalities; 27. Chebyshev-Gruss Type Inequalities on Spherical Shells and Balls; 28. Multivariate Chebyshev-Gruss and Comparison of Integral Means Inequalities; 29. Multivariate Fink Type Identity Applied to Multivariate Inequalities; Bibliography; List of Symbols; Index |
| Record Nr. | UNINA-9910464238003321 |
|
Anastassiou George A
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| Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced inequalities [[electronic resource] /] / George A. Anastassiou
| Advanced inequalities [[electronic resource] /] / George A. Anastassiou |
| Autore | Anastassiou George A |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2011 |
| Descrizione fisica | 1 online resource (450 p.) |
| Disciplina | 515.26 |
| Collana | Series on concrete and applicable mathematics |
| Soggetto topico | Inequalities (Mathematics) |
| ISBN |
1-283-14489-1
9786613144898 981-4317-63-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; 1. Introduction; 2. Advanced Univariate Ostrowski Type Inequalities; 3. Higher Order Ostrowski Inequalities; 4. Multidimensional Euler Identity and Optimal Multidimensional Ostrowski Inequalities; 5. More on Multidimensional Ostrowski Type Inequalities; 6. Ostrowski Inequalities on Euclidean Domains; 7. High Order Ostrowski Inequalities on Euclidean Domains; 8. Ostrowski Inequalities on Spherical Shells; 9. Ostrowski Inequalities on Balls and Shells Via Taylor{Widder Formula; 10. Multivariate Opial Type Inequalities for Functions Vanishing at an Interior Point
11. General Multivariate Weighted Opial Inequalities 12. Opial Inequalities for Widder Derivatives; 13. Opial Inequalities for Linear Differential Operators; 14. Opial Inequalities for Vector Valued Functions; 15. Opial Inequalities for Semigroups; 16. Opial Inequalities for Cosine and Sine Operator Functions; 17. Poincare Like Inequalities for Linear Differential Operators; 18. Poincare and Sobolev Like Inequalities for Widder Derivatives; 19. Poincare and Sobolev Like Inequalities for Vector Valued Functions; 20. Poincare Type Inequalities for Semigroups, Cosine and Sine Operator Functions 21. Hardy-Opial Type Inequalities 22. A Basic Sharp Integral Inequality; 23. Estimates of the Remainder in Taylor's Formula; 24. The Distributional Taylor Formula; 25. Chebyshev-Gruss Type Inequalities Using Euler Type and Fink Identities; 26. Gruss Type Multivariate Integral Inequalities; 27. Chebyshev-Gruss Type Inequalities on Spherical Shells and Balls; 28. Multivariate Chebyshev-Gruss and Comparison of Integral Means Inequalities; 29. Multivariate Fink Type Identity Applied to Multivariate Inequalities; Bibliography; List of Symbols; Index |
| Record Nr. | UNINA-9910788556503321 |
|
Anastassiou George A
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| Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced quantum mechanics [[electronic resource] /] / Freeman Dyson ; translated and transcribed by David Derbes
| Advanced quantum mechanics [[electronic resource] /] / Freeman Dyson ; translated and transcribed by David Derbes |
| Autore | Dyson Freeman J |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2011 |
| Descrizione fisica | 1 online resource (316 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | DerbesDavid |
| Soggetto topico | Quantum theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4383-42-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Notes; Preface; Preface to First Edition; Contents; Generally used Notation; 1 Introduction; 1.1 Books; 1.2 Subject Matter; 1.3 Detailed Program; 1.4 One-Particle Theories; 2 The Dirac Theory; 2.1 The Form of the Dirac Equation; 2.2 Lorentz Invariance of the Dirac Equation; 2.3 To Find the S; 2.4 The Covariant Notation; 2.5 Conservation Laws. Existence of Spin; 2.6 Elementary Solutions; 2.7 The Hole Theory; 2.8 Positron States; 2.9 Electromagnetic Properties of the Electron; 2.10 The Hydrogen Atom; 2.11 Solution of Radial Equation
2.12 Behaviour of an Electron in a Non-Relativistic Approximation 2.13 Summary of Matrices in the Dirac Theory in Our Notation; 2.14 Summary of Matrices in the Dirac Theory in the Feynman Notation; 3 Scattering Problems and Born Approximation; 3.1 General Discussion; 3.2 Projection Operators; 3.3 Calculation of Traces; 3.4 Scattering of Two Electrons in Born Approximation. The Møller Formula; 3.5 Relation of Cross-sections to Transition Amplitudes; 3.6 Results for Møller Scattering; 3.7 Note on the Treatment of Exchange Effects; 3.8 Relativistic Treatment of Several Particles; 4 Field Theory 4.1 Classical Relativistic Field Theory 4.2 Quantum Relativistic Field Theory; 4.3 The Feynman Method of Quantization; 4.4 The Schwinger Action Principle; 4.4.1 The Field Equations; 4.4.2 The Schrodinger Equation for the State-function; 4.4.3 Operator Form of the Schwinger Principle; 4.4.4 The Canonical Commutation Laws; 4.4.5 The Heisenberg Equation of Motion for the Operators; 4.4.6 General Covariant Commutation Laws; 4.4.7 Anticommuting Fields; 5 Examples of Quantized Field Theories; 5.1 The Maxwell Field; 5.1.1 Momentum Representations; 5.1.2 Fourier Analysis of Operators 5.1.3 Emission and Absorption Operators 5.1.4 Gauge-Invariance of the Theory; 5.1.5 The Vacuum State; 5.1.6 The Gupta-Bleuler Method; 5.1.7 Example: Spontaneous Emission of Radiation; 5.1.8 The Hamiltonian Operator; 5.1.9 Fluctuations of the Fields; 5.1.10 Fluctuation of Position of an Electron in a Quantized Electromagnetic Field. The Lamb Shift; 5.2 Theory of Line Shift and Line Width; 5.2.1 The Interaction Representation; 5.2.2 The Application of the Interaction Representation to the Theory of Line-Shift and Line-Width; 5.2.3 Calculation of Line-Shift, Non-Relativistic Theory 5.2.4 The Idea of Mass Renormalization 5.3 Field Theory of the Dirac Electron, Without Interaction; 5.3.1 Covariant Commutation Rules; 5.3.2 Momentum Representations; 5.3.3 Fourier Analysis of Operators; 5.3.4 Emission and Absorption Operators; 5.3.5 Charge-Symmetrical Representation; 5.3.6 The Hamiltonian; 5.3.7 Failure of Theory with Commuting Fields; 5.3.8 The Exclusion Principle; 5.3.9 The Vacuum State; 5.4 Field Theory of Dirac Electron in External Field; 5.4.1 Covariant Commutation Rules; 5.4.2 The Hamiltonian; 5.4.3 Antisymmetry of the States; 5.4.4 Polarization of the Vacuum 5.4.5 Calculation of Momentum Integrals |
| Record Nr. | UNINA-9910457500903321 |
|
Dyson Freeman J
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||
| Singapore, : World Scientific Pub. Co., 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced quantum mechanics [[electronic resource] /] / Freeman Dyson ; translated and transcribed by David Derbes
| Advanced quantum mechanics [[electronic resource] /] / Freeman Dyson ; translated and transcribed by David Derbes |
| Autore | Dyson Freeman J |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2011 |
| Descrizione fisica | 1 online resource (316 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | DerbesDavid |
| Soggetto topico | Quantum theory |
| ISBN | 981-4383-42-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Notes; Preface; Preface to First Edition; Contents; Generally used Notation; 1 Introduction; 1.1 Books; 1.2 Subject Matter; 1.3 Detailed Program; 1.4 One-Particle Theories; 2 The Dirac Theory; 2.1 The Form of the Dirac Equation; 2.2 Lorentz Invariance of the Dirac Equation; 2.3 To Find the S; 2.4 The Covariant Notation; 2.5 Conservation Laws. Existence of Spin; 2.6 Elementary Solutions; 2.7 The Hole Theory; 2.8 Positron States; 2.9 Electromagnetic Properties of the Electron; 2.10 The Hydrogen Atom; 2.11 Solution of Radial Equation
2.12 Behaviour of an Electron in a Non-Relativistic Approximation 2.13 Summary of Matrices in the Dirac Theory in Our Notation; 2.14 Summary of Matrices in the Dirac Theory in the Feynman Notation; 3 Scattering Problems and Born Approximation; 3.1 General Discussion; 3.2 Projection Operators; 3.3 Calculation of Traces; 3.4 Scattering of Two Electrons in Born Approximation. The Møller Formula; 3.5 Relation of Cross-sections to Transition Amplitudes; 3.6 Results for Møller Scattering; 3.7 Note on the Treatment of Exchange Effects; 3.8 Relativistic Treatment of Several Particles; 4 Field Theory 4.1 Classical Relativistic Field Theory 4.2 Quantum Relativistic Field Theory; 4.3 The Feynman Method of Quantization; 4.4 The Schwinger Action Principle; 4.4.1 The Field Equations; 4.4.2 The Schrodinger Equation for the State-function; 4.4.3 Operator Form of the Schwinger Principle; 4.4.4 The Canonical Commutation Laws; 4.4.5 The Heisenberg Equation of Motion for the Operators; 4.4.6 General Covariant Commutation Laws; 4.4.7 Anticommuting Fields; 5 Examples of Quantized Field Theories; 5.1 The Maxwell Field; 5.1.1 Momentum Representations; 5.1.2 Fourier Analysis of Operators 5.1.3 Emission and Absorption Operators 5.1.4 Gauge-Invariance of the Theory; 5.1.5 The Vacuum State; 5.1.6 The Gupta-Bleuler Method; 5.1.7 Example: Spontaneous Emission of Radiation; 5.1.8 The Hamiltonian Operator; 5.1.9 Fluctuations of the Fields; 5.1.10 Fluctuation of Position of an Electron in a Quantized Electromagnetic Field. The Lamb Shift; 5.2 Theory of Line Shift and Line Width; 5.2.1 The Interaction Representation; 5.2.2 The Application of the Interaction Representation to the Theory of Line-Shift and Line-Width; 5.2.3 Calculation of Line-Shift, Non-Relativistic Theory 5.2.4 The Idea of Mass Renormalization 5.3 Field Theory of the Dirac Electron, Without Interaction; 5.3.1 Covariant Commutation Rules; 5.3.2 Momentum Representations; 5.3.3 Fourier Analysis of Operators; 5.3.4 Emission and Absorption Operators; 5.3.5 Charge-Symmetrical Representation; 5.3.6 The Hamiltonian; 5.3.7 Failure of Theory with Commuting Fields; 5.3.8 The Exclusion Principle; 5.3.9 The Vacuum State; 5.4 Field Theory of Dirac Electron in External Field; 5.4.1 Covariant Commutation Rules; 5.4.2 The Hamiltonian; 5.4.3 Antisymmetry of the States; 5.4.4 Polarization of the Vacuum 5.4.5 Calculation of Momentum Integrals |
| Record Nr. | UNINA-9910779074203321 |
|
Dyson Freeman J
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||
| Singapore, : World Scientific Pub. Co., 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||