INTRODUCTORY QUANTUM MECHANICS FOURTH EDITION2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

INTRODUCTORY QUANTUM MECHANICS FOURTH EDITIONPDF格式电子书版下载

注意：本站所有压缩包均有解压码： 点击下载压缩包解压工具

PART Ⅰ ELEMENTARY PRINCIPLES AND APPLICATIONS TO PROBLEMS IN ONE DIMENSION1

1 Review of Concepts of Classical Mechanics3

1.1 Generalized or “Good” Coordinates3

1.2 Energy，the Hamiltonian，and Angular Momentum6

1.3 The State of a System19

1.4 Properties of the One-Dimensional Potential Function24

2 Historical Review: Experiments and Theories30

2.1 Dates30

2.2 The Work of Planck. Blackbody Radiation31

2.3 The Work of Einstein. The Photoelectric Effect36

2.4 The Work of Bohr. A Quantum Theory of Atomic States39

2.5 Waves versus Particles43

2.6 The de Broglie Hypothesis and the Davisson-Germer Experiment46

2.7 The Work of Heisenberg. Uncertaintu as a Cornerstone of Natural Law53

2.8 The Work of Born. Probabiliry Waves55

2.9 Semiphilosophical Epilogue to Chapter 257

3 The Postulates of Quantum Mechanics. Operators，Eigenfunctions，and Eigenvalues68

3.1 Observables and Operators68

3.2 Measurement in Quantum Mechanics74

3.3 The State Function and Expectation Values76

3.4 Time Development of the State Function80

3.5 Solution to the Initial-Value Problem in Quantum Mechanics84

4 Preparatory Concepts. Function Spaces and Hermitian Operators90

4.1 Particle in a Box and Further Remarks on Normalization90

4.2 The Bohr Correspondence Principle94

4.3 Dirac Notation97

4.4 Hilbert Space98

4.5 Hermitian Operators104

4.6 Properties of Hermitian Operators108

5 Superposition and Compatible Observables115

5.1 The Superposition Principle115

5.2 Commutator Relations in Quantum Mechanics130

5.3 More on the Commutator Theorem137

5.4 Commutator Relations and the Uncertainty Principle140

5.5 “Complete” Sets of Commuting Observables143

6 Time Development，Conservation Theorems，and Parity152

6.1 Time Development of State Functions152

6.2 Time Development of Expectation Values168

6.3 Conservation of Energy，Linear and Angular Momentum171

6.4 Conservation of Parity176

7 Additional One-Dimensional Problems. Bound and Unbound States187

7.1 General Properties of the One-Dimensional Schrodinger Equation187

7.2 The Harmonic Oscillator190

7.3 Eigenfunctions of the Harmonic Oscillator Hamiltonian198

7.4 The Harmonic Oscillator in Momentum Space211

7.5 Unbound States216

7.6 One-Dimensional Barrier Problems222

7.7 The Rectangular Barrier. Tunneling228

7.8 The Ramsauer Effect235

7.9 Kinetic Properties of a Wave Packet Scattered from a Potential Barrier241

7.10 The WKB Approximation243

7.11 Principle of Least Action and Feyntnan’s Path Integral Formulation268

8 Finite Potential Well，Periodic Lattice，and Some Simple Problems with Two Degrees of Freedom278

8.1 The Finite Potential Well278

8.2 Periodic Lattice. Energy Gaps289

8.3 Standing Waves at the Band Edges307

8.4 Brief Qualitative Description of the Theory of Conduction in Solids313

8.5 Two Beads on a Wire and a Particle in a Two-Dimensional Box317

8.6 Two-Dimensional Harmonic Oscillator324

8.7 Linear Combination of Atomic Orbitals （LCAO） Approximation331

8.8 Density of States in Various Dimensions336

PART Ⅱ FURTHER DEVELOPMENT OF THE THEORY AND APPLICATIONS TO PROBLEMS IN THREE DIMENSIONS347

9 Angular Momentum349

9.1 Basic Properties349

9.2 Eigenvalues of the Angular Momentum Operators358

9.3 Eigenfunctions of the Orbital Angular Momentum Operators L2 and Lz367

9.4 Addition of Angular Momentum386

9.5 Total Angular Momentum for Two or More Electrons396

10 Problems in Three Dimensions404

10.1 The Free Particle in Cartesian Coordinates404

10.2 The Free Particle in Spherical Coordinates410

10.3 The Free-Particle Radial Wavefunction415

10.4 A Charged Particle in a Magnetic Field430

10.5 The Two-Particle Problem436

10.6 The Hydrogen Atom446

10.7 Elementary Theory of Radiation463

10.8 Thomas-Fermi Model472

11 Elements of Matrix Mechanics. Spin Wavefunctions480

11.1 Basis and Representations481

11.2 Elementary Matrix Properties488

11.3 Unitary and Similariry Transformations in Quantum Mechanics492

11.4 The Energy Representation499

11.5 Angular Momentum Matrices504

11.6 The Pauli Spin Matrices512

11.7 Free-Particle Wavefunctions，Including Spin517

11.8 The Magnetic Moment of an Electron519

11.9 Precession of an Electron in a Magnetic Field527

11.10 The Addition of Two Spins536

11.11 The Density Matrix543

11.12 Other “Pictures” in Quantum Mechanics553

11.13 Polarization States. EPR Revisited558

11.14 The Transfer Matrix571

12 Application to Atomic，Molecular，Solid-State，and Nuclear Physics. Elements of Quantum Statistics579

12.1 The Total Angular Momentum，J579

12.2 One-Electron Atoms584

12.3 The Pauli Principle597

12.4 The Periodic Table602

12.5 The Slater Determinant612

12.6 Application of Symmetrization Rules to the Helium Atom614

12.7 The Hydrogen and Deuterium Molecules623

12.8 Brief Description of Quantum Models for Superconductivity and Superfluidity630

12.9 Impurity Semiconductors and the p-n Junction641

12.10 Elements of Nuclear Physics. The Deuteron and Isospin669

13 Perturbation Theory681

13.1 Time-Independent，Nondegenerate Perturbation Theory681

13.2 Time-Independent，Degenerate Perturbation Theory692

13.3 The Stark Effect700

13.4 The Nearly Free Electron Model703

13.5 Time-Dependent Perturbation Theory709

13.6 Harmonic Perturbation712

13.7 Application of Harmonic Perturbation Theory718

13.8 Selective Perturbations in Time727

13.9 Atom-Radiation Interaction739

13.10 Hartree-Fock Model757

14 Scattering in Three Dimensions762

14.1 Partial Waves762

14.2 S-Wave Scattering770

14.3 Center-of-Mass Frame774

14.4 The Born Approximation777

14.5 Atomic-Radiative Absorption Cross Section782

14.6 Elements of Formal Scattering Theory. The Lippmatm-Schwinger Equation785

15 Relativistic Quantum Mechanics793

15.1 Preliminary Remarks793

15.2 Klein-Gordon Equation798

15.3 Dirac Equation800

15.4 Electron Magnetic Moment806

15.5 Covariant Description810

16 Quantum Computing817

16.1 Binary Number System817

16.2 Logic Gates823

16.3 Turing Machine and Complexity Classes830

16.4 Qubits and Quantum Logic Gates832

List of Symbols843

APPENDIXES847

A Additional Remarks on the x and p Representations849

B Spin and Statistics853

C Representations of the Delta Function857

D Differential Vector Relations861

E Harmonic Oscillator in Spherical Coordinates865

F Physical Constants and Equivalence Relations867

Index871