系统详尽地介绍了一种新的量子理论——最弱受约束电子理论(WBE Theory)。阐明如何从逐级电离和全同粒子角度，将体系哈密顿算符划分成单电子哈密顿算符的两种等效方法；如何从给定的解析式，严格求解单电子薛定谔方程，得到能量和波函数的解析表达式；如何处理分子问题等。用大量示例展现该理论在物理学、化学、材料科学中的应用，以表明其准确性、简便性和普适性，并指出未来的研究方向和前景。

目 录

1 The Basics of Quantum Mechanics for the Weakest BoundElectron(WBE)Theory 1

11 The Wave-Particle Duality 1

12 The Uncertainty Principle 1

13 The Schrodinger Equation 3

14 Electron Spin and Spin Orbital [3,6-8]6

15 The Indistinguishability of Micro Identical Particles 9

16 Pauli Exclusion Principle and Periodic Table 10

17 One of the Approximation Methods in Quantum

Mechanics—The Variation Method 14

References 18

2 The Weakest Bound Electron Theory(1)21

21 The Concept of the Weakest Bound Electron 21

22 Ionization Process and Aufbau-Like Process is Reversible 23

23 The One-Electron Hamiltonian for the Weakest Bound Electron 26

231The Non-Relativistic One-Electron Hamiltonian for the Weakest Bound Electron 26

232 The Treatment of Magnetic Interaction Between Electrons 30

233 Relativistic Hamiltonian 31

24 The One-Electron Schrodinger Equation of the Weakest

Bound Electron 33

25 The Key Points of the WBE Theory 35

References 35

3 The Weakest Bound Electron Theory (2)37

31 Potential Function37

32 The Solution of the Radial Equation 39

321Spherical Harmonic 39

322 Generalized Laguerre Functions 42

323 Restore the Form of Hydrogen and Hydrogen-Like Atoms 47

324 The Definition and Properties of Generalized Laguerre Functions 48

325 The Proof of the Satisfaction of Hellmann-Feynman Theorem54

33 Matrix Element and Mean Value of Radial Operator rk 56

34 The Exact Solutions of Scattering States in WBEPM Theory 58

35 The Formula for the Calculation of Fine Structure 60

36 Calculation of Spin-Orbit Coupling Coefficient 61

37 Relation Between the WBEPM Theory and Slater-Type Orbitals 62

References 66

4 The Application of the WBE Theory 69

41 Ionization Energy [1-10] 69

411Introduction 69

412 Iso-spectrum-level Series and the Differential Law of Ionization Energy in the Series 76

413 Calculation of Ionization Energy 86

414 The Successive Ionization Energies of the 4f

Electrons for the Lanthanides [10]91

42 Energy Level [39-50] 96

421 Introduction 96

422 Formulae for Calculating Energy Levels 99

423 Methods for Parameter Characterization 101

424 Examples 107

43 Calculation of Oscillator Strength, Transition Probability and Radiative Lifetime [88-104]129

431Introduction129

432 Theory and Method for Calculation 131

433 Examples 135

44 Calculation of Total Electron Energy [1,159,160] 155

441 Calculation of Total Electron Energy of the SystemUsing Ionization Energy 157

442 Variational Treatment on the Energy of the He-Sequence Ground State with the WBEPTheory 158

443 Perturbation Treatment on the Energy

of the He-Sequence Ground State with the WBEPMTheory [160] 176

45 Electronegativity, Hard and Soft Acids and Bases, and the Molecular Design of Coordination Polymers 179

451 The Electronegativity Concept and Scale 179

452 The Nuclear Potential Scale of the Weakest Bound Electron [185,200]   180

453 The Hard-Soft-Acid-Base Concept and Scale  185

454 Molecular Design of Coordination Polymers  188

References  196

Representation Publications 207

Postscript      211

Index     213