University Sétif 1 FERHAT ABBAS Faculty of Sciences
Résultat de la recherche
1 résultat(s) recherche sur le mot-clé 'Physique nucléaire Mathématique Mécanique quantique'
Ajouter le résultat dans votre panier Affiner la recherche Générer le flux rss de la recherche
Partager le résultat de cette recherche
Nuclear models / GREINER,W.
Titre : Nuclear models Type de document : texte imprimé Auteurs : GREINER,W. ; MARUHN,J.A. Editeur : Berlin : Springer Année de publication : 1996 Importance : 1 vol (375 p.) Format : 25 ISBN/ISSN/EAN : 978-3-540-59180-1 Note générale : Index Catégories : Physique Mots-clés : Physique nucléaire
Mathématique
Mécanique quantiqueIndex. décimale : 539.7 Physique atomique et nucléaire Résumé :
Note de contenu :
Sommaire
1. Introduction.
- 1.1 Nuclear Structure Physics.- 1.2 The Basic Equation.- 1.3 Microscopic versus Collective Models.- 1.4 The Role of Symmetries.
- 2. Symmetries.
- 2.1 General Remarks.- 2.2 Translation.- 2.2.1 The Operator for Translation.- 2.2.2 Translational Invariance.- 2.2.3 Many-Particle Systems.- 2.3 Rotation.- 2.3.1 The Angular Momentum Operators.- 2.3.2 Representations of the Rotation Group.- 2.3.3 The Rotation Matrices.- 2.3.4 SU(2) and Spin.- 2.3.5 Coupling of Angular Momenta.- 2.3.6 Intrinsic Angular Momentum.- 2.3.7 Tensor Operators.- 2.3.8 The Wigner-Eckart Theorem.- 2.3.9 6j and 9j Symbols.- 2.4 Isospin.- 2.5 Parity.- 2.5.1 Definition.- 2.5.2 Vector Fields.- 2.6 Time Reversal.
- 3. Second Quantization.- 3.1 General Formalism.- 3.1.1 Motivation.- 3.1.2 Second Quantization for Bosons.- 3.1.3 Second Quantization for Fermions.- 3.2 Representation of Operators.- 3.2.1 One-Particle Operators.- 3.2.2 Two-Particle Operators.- 3.3 Evaluation of Matrix Element for Fermions.- 3.4 The Particle-Hole Picture.
- 4. Group Theory in Nuclear Physics.
- 4.1 Lie Groups and Lie Algebras.- 4.2 Group Chains.- 4.3 Lie Algebras in Second Quantization.
- 5. Electromagnetic Moments and Transitions.
- 5.1 Introduction.- 5.2 The Quantized Electromagnetic Field.- 5.3 Radiation Fields of Good Angular Momentum.- 5.3.1 Solutions of the Scalar Helmholtz Equation.- 5.3.2 Solutions of the Vector Helmholtz Equation.- 5.3.3 Properties of the Multipole Fields.- 5.3.4 Multipole Expansion of Plane Waves.- 5.4 Coupling of Radiation and Matter.- 5.4.1 Basic Matrix Elements.- 5.4.2 Multipole Expansion of the Matrix Elements and Selection Rules.- 5.4.3 Siegert’s Theorem.- 5.4.4 Matrix Elements for Emission in the Long-Wavelength Limit.- 5.4.5 Relative Importance of Transitions and Weisskopf Estimates.- 5.4.6 Electric Multipole Moments.- 5.4.7 Effective Charges.
- 6. Collective Models.
- 6.1 Nuclear Matter.- 6.1.1 Mass Formulas.- 6.1.2 The Fermi-Gas Model.- 6.1.3 Density-Functional Models.- 6.2 Nuclear Surface Deformations.- 6.2.1 General Parametrization.- 6.2.2 Types of Multipole Deformations.- 6.2.3 Quadrupole Deformations.- 6.2.4 Symmetries in Collective Space.- 6.3 Surface Vibrations.- 6.3.1 Vibrations of a Classical Liquid Drop.- 6.3.2 The Harmonic Quadrupole Oscillator.- 6.3.3 The Collective Angular-Momentum Operator.- 6.3.4 The Collective Quadrupole Operator.- 6.3.5 The Quadrupole Vibrational Spectrum.- 6.4 Rotating Nuclei.- 6.4.1 The Rigid Rotor.- 6.4.2 The Symmetric Rotor.- 6.4.3 The Asymmetric Rotor.- 6.5 The Rotation-Vibration Model.- 6.5.1 Classical Energy.- 6.5.2 Quantal Hamiltonian.- 6.5.3 Spectrum and Eigenfunctions.- 6.5.4 Moments and Transition Probabilities.- 6.6 ?-Unstable Nuclei.- 6.7 More General Collective Models for Surface Vibrations.- 6.7.1 The Generalized Collective Model.- 6.7.2 Proton-Neutron Vibrations.- 6.7.3 Higher Multipoles.- 6.8 The Interacting Boson Model.- 6.8.1 Introduction.- 6.8.2 The Hamiltonian.- 6.8.3 Group Chains.- 6.8.4 The Casimir Operators.- 6.8.5 The Dynamical Symmetries.- 6.8.6 Transition Operators.- 6.8.7 Extended Versions of the IBA.- 6.8.8 Comparison to the Geometric Model.- 6.9 Giant Resonances.- 6.9.1 Introduction.- 6.9.2 The Goldhaber-Teller Model.- 6.9.3 The Steinwedel-Jensen Model.- 6.9.4 Applications.
- 7. Microscopic Models.
- 7.1 The Nucleon-Nucleon Interaction.- 7.1.1 General Properties.- 7.1.2 Functional Form.- 7.1.3 Interactions from Nucleon-Nucleon Scattering.- 7.1.4 Effective Interactions.- 7.2 The Hartree—Fock Approximation.- 7.2.1 Introduction.- 7.2.2 The Variational Principle.- 7.2.3 The Slater-Determinant Approximation.- 7.2.4 The Hartree—Fock Equations.- 7.2.5 Applications.- 7.2.6 The Density Matrix Formulation.- 7.2.7 Constrained Hartree—Fock.- 7.2.8 Alternative Formulations and Three-Body Forces.- 7.2.9 Hartree—Fock with Skyrme Forces.- 7.3 Phenomenological Single-Particle Models.- 7.3.1 The Spherical-Shell Model.- 7.3.2 The Deformed-Shell Model.- 7.4 The Relativistic Mean-Field Model.- 7.4.1 Introduction.- 7.4.2 Formulation of the Model.- 7.4.3 Applications.- 7.5 Pairing.- 7.5.1 Motivation.- 7.5.2 The Seniority Model.- 7.5.3 The Quasispin Model.- 7.5.4 The BCS Model.- 7.5.5 The Bogolyubov Transformation.- 7.5.6 Generalized Density Matrices.
- 8. Interplay of Collective and Single-Particle Motion.
- 8.1 The Core-plus-Particle Models.- 8.1.1 Basic Considerations.- 8.1.2 The Weak-Coupling Limit.- 8.1.3 The Strong-Coupling Approximation.- 8.1.4 The Interacting Boson—Fermion Model.- 8.2 Collective Vibrations in Microscopic Models.- 8.2.1 The Tamm—Dancoff Approximation.- 8.2.2 The Random-Phase Approximation (RPA).- 8.2.3 Time-Dependent Hartree—Fock and Linear Response.
- 9. Large-Amplitude Collective Motion.
- 9.1 Introduction.- 9.2 The Macroscopic-Microscopic Method.- 9.2.1 The Liquid-Drop Model.- 9.2.2 The Shell-Correction Method.- 9.2.3 Two-Center Shell Models.- 9.2.4 Fission in Self-Consistent Models.- 9.3 Mass Parameters and the Cranking Model.- 9.3.1 Overview.- 9.3.2 The Irrotational-Flow Model.- 9.3.3 The Cranking Formula.- 9.3.4 Applications of the Cranking Formula.- 9.4 Time-Dependent Hartree—Fock.- 9.5 The Generator-Coordinate Method.- 9.6 High-Spin States.- 9.6.1 Overview.- 9.6.2 The Cranked Nilsson Model.
- Appendix: Some Formulas from Angular-Momentum Theory.
- References.
Côte titre : Fs/0305-0308 Nuclear models [texte imprimé] / GREINER,W. ; MARUHN,J.A. . - Berlin : Springer, 1996 . - 1 vol (375 p.) ; 25.
ISBN : 978-3-540-59180-1
Index
Catégories : Physique Mots-clés : Physique nucléaire
Mathématique
Mécanique quantiqueIndex. décimale : 539.7 Physique atomique et nucléaire Résumé :
Note de contenu :
Sommaire
1. Introduction.
- 1.1 Nuclear Structure Physics.- 1.2 The Basic Equation.- 1.3 Microscopic versus Collective Models.- 1.4 The Role of Symmetries.
- 2. Symmetries.
- 2.1 General Remarks.- 2.2 Translation.- 2.2.1 The Operator for Translation.- 2.2.2 Translational Invariance.- 2.2.3 Many-Particle Systems.- 2.3 Rotation.- 2.3.1 The Angular Momentum Operators.- 2.3.2 Representations of the Rotation Group.- 2.3.3 The Rotation Matrices.- 2.3.4 SU(2) and Spin.- 2.3.5 Coupling of Angular Momenta.- 2.3.6 Intrinsic Angular Momentum.- 2.3.7 Tensor Operators.- 2.3.8 The Wigner-Eckart Theorem.- 2.3.9 6j and 9j Symbols.- 2.4 Isospin.- 2.5 Parity.- 2.5.1 Definition.- 2.5.2 Vector Fields.- 2.6 Time Reversal.
- 3. Second Quantization.- 3.1 General Formalism.- 3.1.1 Motivation.- 3.1.2 Second Quantization for Bosons.- 3.1.3 Second Quantization for Fermions.- 3.2 Representation of Operators.- 3.2.1 One-Particle Operators.- 3.2.2 Two-Particle Operators.- 3.3 Evaluation of Matrix Element for Fermions.- 3.4 The Particle-Hole Picture.
- 4. Group Theory in Nuclear Physics.
- 4.1 Lie Groups and Lie Algebras.- 4.2 Group Chains.- 4.3 Lie Algebras in Second Quantization.
- 5. Electromagnetic Moments and Transitions.
- 5.1 Introduction.- 5.2 The Quantized Electromagnetic Field.- 5.3 Radiation Fields of Good Angular Momentum.- 5.3.1 Solutions of the Scalar Helmholtz Equation.- 5.3.2 Solutions of the Vector Helmholtz Equation.- 5.3.3 Properties of the Multipole Fields.- 5.3.4 Multipole Expansion of Plane Waves.- 5.4 Coupling of Radiation and Matter.- 5.4.1 Basic Matrix Elements.- 5.4.2 Multipole Expansion of the Matrix Elements and Selection Rules.- 5.4.3 Siegert’s Theorem.- 5.4.4 Matrix Elements for Emission in the Long-Wavelength Limit.- 5.4.5 Relative Importance of Transitions and Weisskopf Estimates.- 5.4.6 Electric Multipole Moments.- 5.4.7 Effective Charges.
- 6. Collective Models.
- 6.1 Nuclear Matter.- 6.1.1 Mass Formulas.- 6.1.2 The Fermi-Gas Model.- 6.1.3 Density-Functional Models.- 6.2 Nuclear Surface Deformations.- 6.2.1 General Parametrization.- 6.2.2 Types of Multipole Deformations.- 6.2.3 Quadrupole Deformations.- 6.2.4 Symmetries in Collective Space.- 6.3 Surface Vibrations.- 6.3.1 Vibrations of a Classical Liquid Drop.- 6.3.2 The Harmonic Quadrupole Oscillator.- 6.3.3 The Collective Angular-Momentum Operator.- 6.3.4 The Collective Quadrupole Operator.- 6.3.5 The Quadrupole Vibrational Spectrum.- 6.4 Rotating Nuclei.- 6.4.1 The Rigid Rotor.- 6.4.2 The Symmetric Rotor.- 6.4.3 The Asymmetric Rotor.- 6.5 The Rotation-Vibration Model.- 6.5.1 Classical Energy.- 6.5.2 Quantal Hamiltonian.- 6.5.3 Spectrum and Eigenfunctions.- 6.5.4 Moments and Transition Probabilities.- 6.6 ?-Unstable Nuclei.- 6.7 More General Collective Models for Surface Vibrations.- 6.7.1 The Generalized Collective Model.- 6.7.2 Proton-Neutron Vibrations.- 6.7.3 Higher Multipoles.- 6.8 The Interacting Boson Model.- 6.8.1 Introduction.- 6.8.2 The Hamiltonian.- 6.8.3 Group Chains.- 6.8.4 The Casimir Operators.- 6.8.5 The Dynamical Symmetries.- 6.8.6 Transition Operators.- 6.8.7 Extended Versions of the IBA.- 6.8.8 Comparison to the Geometric Model.- 6.9 Giant Resonances.- 6.9.1 Introduction.- 6.9.2 The Goldhaber-Teller Model.- 6.9.3 The Steinwedel-Jensen Model.- 6.9.4 Applications.
- 7. Microscopic Models.
- 7.1 The Nucleon-Nucleon Interaction.- 7.1.1 General Properties.- 7.1.2 Functional Form.- 7.1.3 Interactions from Nucleon-Nucleon Scattering.- 7.1.4 Effective Interactions.- 7.2 The Hartree—Fock Approximation.- 7.2.1 Introduction.- 7.2.2 The Variational Principle.- 7.2.3 The Slater-Determinant Approximation.- 7.2.4 The Hartree—Fock Equations.- 7.2.5 Applications.- 7.2.6 The Density Matrix Formulation.- 7.2.7 Constrained Hartree—Fock.- 7.2.8 Alternative Formulations and Three-Body Forces.- 7.2.9 Hartree—Fock with Skyrme Forces.- 7.3 Phenomenological Single-Particle Models.- 7.3.1 The Spherical-Shell Model.- 7.3.2 The Deformed-Shell Model.- 7.4 The Relativistic Mean-Field Model.- 7.4.1 Introduction.- 7.4.2 Formulation of the Model.- 7.4.3 Applications.- 7.5 Pairing.- 7.5.1 Motivation.- 7.5.2 The Seniority Model.- 7.5.3 The Quasispin Model.- 7.5.4 The BCS Model.- 7.5.5 The Bogolyubov Transformation.- 7.5.6 Generalized Density Matrices.
- 8. Interplay of Collective and Single-Particle Motion.
- 8.1 The Core-plus-Particle Models.- 8.1.1 Basic Considerations.- 8.1.2 The Weak-Coupling Limit.- 8.1.3 The Strong-Coupling Approximation.- 8.1.4 The Interacting Boson—Fermion Model.- 8.2 Collective Vibrations in Microscopic Models.- 8.2.1 The Tamm—Dancoff Approximation.- 8.2.2 The Random-Phase Approximation (RPA).- 8.2.3 Time-Dependent Hartree—Fock and Linear Response.
- 9. Large-Amplitude Collective Motion.
- 9.1 Introduction.- 9.2 The Macroscopic-Microscopic Method.- 9.2.1 The Liquid-Drop Model.- 9.2.2 The Shell-Correction Method.- 9.2.3 Two-Center Shell Models.- 9.2.4 Fission in Self-Consistent Models.- 9.3 Mass Parameters and the Cranking Model.- 9.3.1 Overview.- 9.3.2 The Irrotational-Flow Model.- 9.3.3 The Cranking Formula.- 9.3.4 Applications of the Cranking Formula.- 9.4 Time-Dependent Hartree—Fock.- 9.5 The Generator-Coordinate Method.- 9.6 High-Spin States.- 9.6.1 Overview.- 9.6.2 The Cranked Nilsson Model.
- Appendix: Some Formulas from Angular-Momentum Theory.
- References.
Côte titre : Fs/0305-0308 Exemplaires (4)
Code-barres Cote Support Localisation Section Disponibilité Fs/0308 Fs/0305-0308 Livre Bibliothéque des sciences Français Disponible
DisponibleFs/0307 Fs/0305-0308 Livre Bibliothéque des sciences Français Disponible
DisponibleFs/0305 Fs/0305-0308 Livre Bibliothéque des sciences Français Disponible
Sorti jusqu'au 06/03/2024Fs/0306 Fs/0305-0308 Livre Bibliothéque des sciences Français Disponible
Disponible