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“Greiner理论物理教程”共有13册：《经典力学：点粒子和相对论》《经典力学：质点系和哈密顿动力学》《经典电动力学》《热力学和统计力学》《量子力学导论》《量子力学：对称性》《相对论量子力学》《量子力学专论》《量子电动力学》《场量子化》《弱相互作用规范理论》《量子色动力学》《核模型》。这是一套内容完整实用面向大学生和硕士研究生的现代物理学教材。它以系统的、统一的、连贯的方式阐述了现代理论物理学的各个方面。这套教材面世后，在德国产生了巨大的影响，其英文版的及时推出，对全世界理论物理学的教学也起了很好的促进作用。 本册《核模型》重点讨论核模型的类型和必要的数学方法。核模型和核反应可以一起形成了一个周期两学期的课程。

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 1The Wigner-Eckan 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 Elements for Fermions

3.4 The Panicle-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.Electromagic Moments and Transitions

5.1 Introduction

5.2 The Quantized Electromagic 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.Coilective Models

6.1 Nuclear Matter

6.1.1 Mass Formulas

6.1.2 The Formulas 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 γ-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 0perators

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 Modds

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 ConstrainedHnitree-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 ModeI

7.4 The Relativistic Mcan-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 Cmnking 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

Subject Index

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书籍介绍

“Greiner理论物理教程”共有13册：《经典力学：点粒子和相对论》《经典力学：质点系和哈密顿动力学》《经典电动力学》《热力学和统计力学》《量子力学导论》《量子力学：对称性》《相对论量子力学》《量子力学专论》《量子电动力学》《场量子化》《弱相互作用规范理论》《量子色动力学》《核模型》。这是一套内容完整实用面向大学生和硕士研究生的现代物理学教材。它以系统的、统一的、连贯的方式阐述了现代理论物理学的各个方面。这套教材面世后，在德国产生了巨大的影响，其英文版的及时推出，对全世界理论物理学的教学也起了很好的促进作用。 本册《核模型》重点讨论核模型的类型和必要的数学方法。核模型和核反应可以一起形成了一个周期两学期的课程。