《OPERATOR TECHNIQUES IN ATOMIC SPECTROSCOPY》求取 ⇩

CHAPTER 1．CLASSICAL METHODS1

1-1．Introduction1

1-2．The Central-field Approximation2

1-3．The Perturbation Potential5

1-4．Angular-momentum Operators6

1-5．The 3-j Symbols9

1-6．Determinantal Product States13

1-7．Matrix Elements15

1-8．The Configuration sd17

1-9．Deficiencies in the Method21

CHAPTER 2CRYSTAL FIELDS25

2-1．The Contribution to the Hamiltonian25

2-2．Finite Groups27

2-3．The Octahedral Group31

2-4．The Rotation Group in Three Dimensions34

2-5．Eigenfunctions and Operators36

2-6．The Wigner-Eckart Theorem39

2-7．Tensor Operators41

2-8．An External Magnetic Field44

2-9．Neptunium Hexafluoride46

CHAPTER 3．THE n-j SYMBOLS54

3-1．Three Angular Momenta54

3-2．The 6-j Symbol57

3-3．The 9-j Symbol60

3-4．Relations between the n-j Symbols for n>362

3-5．Mixed Tensor Operators69

3-6．Matrix Elements of XQ(k)70

CHAPTER 4．CONFIGURATIONS OF TWO ELECTRONS76

4-1．Introduction76

4-2．Reduced Matrix Elements77

4-3．The Coulomb Interaction79

4-4．The Spin-Orbit Interaction81

4-5．An External Magnetic Field84

4-6．The Magnetic Hyperfine Interaction85

4-7．Magnetic Spin-Spin Interaction87

CHAPTER 5．CONTINUOUS GROUPS95

5-1．Introduction95

5-2．Lie＇s Theory of Continuous Groups96

5-3．Definitions100

5-4．The Commutators of Tensor Operators101

5-5．The Metric Tensor106

5-6．The Root Figures107

5-7．Representations113

5-8．The Young Tableaux119

5-9．Casimir＇s Operator123

5-10．The Characters of Representations126

5-11．The Kronecker Product of Two Representations131

5-12．Branching Rules136

5-13．Classification of the Terms of f？142

5-14．Irreducible Representations as Quantum Numbers147

CHAPTER 6．SENIORITY154

6-1．Double-tensor Operators154

6-2．The Commutators of Double tensor Operators156

6-3．The Seniority Number158

6-4．The Laporte-Platt Degeneracies162

CHAPTER 7．FRACTIONAL PARENTAGE COEFFICIENTS166

7-1．Introduction166

7-2．The Factorization of the Coefficients(？;ω|Ω)168

7-3．Orthogonality Relations171

7-4．The CFP(p2SL|}p2SL)171

7-5．The Coefficients(UτL+f|UτL)174

7-6．Reciprocity179

7-7．The Coefficients(WU+f|WU)180

7-8．The Coefficients(ln-？+ l|}lnvS)182

7-9．Matrix Elements185

7-10．Explicit Formulas for the CFP189

CHAPTER 8．CONFIGURATIONS OF MORE THAN TWO EQUIVALENT ELECTRONS193

8-1．Introduction193

8-2．Generalised Tensors194

8-3．Applications of the Wigner-Eckart Theorem196

8-4．Spin-Orbit Interaction198

8-5．Matrix Elements of V(？)203

8-6．The Coulomb Interaction H1204

8-7．The Configuration f？210

8-8．Crystal Field Effects214

8-9．Hyperfine Structure in PuI216

Appendix 1．Radial Integrals for Hydrogenic Eigenfunctions225

Appendix 2．The Coefficients(UL|U′L′+f)and(WU|W′U′+f)227

References233

Index237