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Preface to the Second Edition vii

1. Elements of Quantum Mechanics

1. Review of ClassicalMechanics

2. Vector Spaces and Linear ***s

3. Basic Postulates of Quantum Mechanics

4. Compatible Observables and Complete Set of Commuting ***s

5. Formof the ***s

6. Matrix Formalism and Transformation Theory

7. General Theory of Angular Momentum

8. Time-Independent Perturbation Theory

9. Time-Dependent Perturbation Theory

References

2. Elements of Group Theory

1. Properties of a Group

2. Classes

3. Theory of Representati***

4. Schur's Lemma and Orthogonality Relati***

5. Characters of a Group

6. Properties of the Irreducible Representati*** of a Group

7. The Direct Product Representation

8. Product Groups and Their Representati***

9. Summary of Rules

10. Groups of Real Orthogonal Matrices

11. Space Groups and Symmetry of Crystalline Solids

12. The Irreducible Representati*** of a Group of Primitive Translati***

13. The Irreducible Representati*** of Space Groups

References

3. Connection of Quantum Mechanics with Group Theory 115

1. The Effect of an Orthogonal Coordinate Transformation on the Vectors of a Hilbert Space

2. The Symmetry Group of the Schr¨odinger Equation

3. The Fundamental Theorem for Functi*** and ***sTransforming Irreducibly

4. The C***truction of Functi*** Transforming Irreducibly

5. The Full Rotational Group and the Quantum Theory of Angular Momentum

6. The Spin of the Electron and the Double Valued Representati***

7. The Kramers'Degeneracy

8. The Symmetric Group of the Hamiltonian and the Pauli Principle

References

4. The Hydrogen Atom 155

1. The Unperturbed Hamiltonian

2. The Spin-Orbit In***ction

3. The Zeeman In***ction

4. Group Theoretical C***iderati*** for the H Atom

References

5. The Complex Atom: Multiplet Theory 165

1. The Helium Atom

2. The Many Electron Atom

3. Group Theoretical C***iderati*** for a Complex Atom

4. The Energies of Spectral Terms

5. Hund's Rules and the Principle of Equivalence of Electr*** and Holes

6. The Spin-Orbit Splitting of Terms

7. An Example of Spin-Orbit and Zeeman Splitting

References

……

6. The Magnetic Ion in a Crystal: The Role of Symmetry 216

7. The Weak Field Scheme

8. The Medium Field Scheme

9. The Strong Field Scheme

10. Covalent Bonding and Its Effect on MagneticI*** in Crystals

11. The Quantum Theory of the Radiation Field

12. Molecular Vibrati***

13. Lattice Vibrati***

14. The Ion-P***on In***ction: Absorption and Emission of Radiation

15. The Judd-Ofelt Theory

16. The Ion-Vibration In***ction. Radiationless Processes， Thermal Shift， and Broadening of Sharp Lines

17. Vibrational-Electronic In***ction and Spectra

18. Energy Transfer Among I*** in Solids

19. Absorption Spectra of Magnetic I*** in Crystals

20. Fluorescence Spectra of Magnetic I*** in Crystals

21. Elements of Laser Theory

References

Subject Index

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