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目次

Preface.1. The Discovery of Quantum Mechanics.I Introduction.II Planckand Quantization.III Bohr and the Hydrogen Atom.IV Matrix Mechanics.V TheUncertainty Relations.VI Wave Mechanics.VII The Final Touches of QuantumMechanics.VIII Concluding Remarks.2. The Mathematics of Quantum Mechanics.IIntroduction.II Differential Equations.III Kummer's Function.IV Matrices.VPermutations.VI Determinants.VII Properties of Determinants.VIII LinearEquations and Eigenvalues.IX Problems.3. Classical Mechanics.IIntroduction.II Vectors and Vector Fields.III Hamiltonian Mechanics.IV TheClassical Harmonic Oscillator.V Angular Momentum.VI Polar Coordinates.VIIProblems.4. Wave Mechanics of a Free Particle.I Introduction.II TheMathematics of Plane Waves.III The Schrodinger Equation of a Free Particle.IVThe Interpretation of the Wave Function.V Wave Packets.VI ConcludingRemarks.VII Problems.5. The Schrodinger Equation.I Introduction.IIOperators.III The Particle in a Box.IV Concluding Remarks.V Problems.6.Applications.I Introduction.II A Particle in a Finite Box.III Tunneling.IVThe Harmonic Oscillator.V Problems.7. Angular Momentum.I Introduction.IICommuting Operators.III Commutation Relations of the Angular Momentum.IV TheRigid Rotor.V Eigenfunctions of the Angular Momentum.VI ConcludingRemarks.VII Problems.8. The Hydrogen Atom.I Introduction.II Solving theSchrodinger Equation.III Deriving the Energy Eigenvalues.IV The Behavior ofthe Eigenfunctions.V Problems.9. Approximate Methods.I Introduction.II TheVariational Principle.III Applications of the Variational Principle.IVPerturbation Theory for a Nondegenerate State.V The Stark Effect of theHydrogen Atom.VI Perturbation Theory for Degenerate States.VII ConcludingRemarks.VIII Problems.10. The Helium Atom.I Introduction.II ExperimentalDevelopments.III Pauli's Exclusion Principle.IV The Discovery of the ElectronSpin.V The Mathematical Description of the Electron Spin.VI The ExclusionPrinciple Revisited.VII Two-Electron Systems.VIII The Helium Atom.IX TheHelium Atom Orbitals.X Concluding Remarks.XI Problems.11 Atomic Structure.IIntroduction.II Atomic and Molecular Wave Function.III The Hartree-FockMethod.IV Slater Orbitals.V Multiplet Theory.VI Concluding Remarks.VIIProblems.12 Molecular Structure.I Introduction.II The Born-OppenheimerApproximation.III Nuclear Motion of Diatomic Molecules.IV The HydrogenMolecular Ion.V The Hydrogen Molecule.VI The Chemical Bond.VII The Structuresof Some Simple Polyatomic Molecules.VIII The Huckel Molecular OrbitalMethod.IX Problems.Index.