| Preface to the first edition |
| Preface to the second edition |
| Waves and particles / 1： |
| Introduction / 1.1： |
| Light as particles--the photoelectric effect / 1.2： |
| Electrons as waves / 1.3： |
| Position and momentum / 1.4： |
| Expectation of the position / 1.4.1： |
| Momentum / 1.4.2： |
| Non-commuting operators / 1.4.3： |
| Returning to temporal behaviour / 1.4.4： |
| Summary / 1.5： |
| References |
| Problems |
| The Schrodinger equation / 2： |
| Waves and the differential equation / 2.1： |
| Density and current / 2.2： |
| Some simple cases / 2.3： |
| The free particle / 2.3.1： |
| A potential step / 2.3.2： |
| The infinite potential well / 2.4： |
| The finite potential well / 2.5： |
| The triangular well / 2.6： |
| Coupled potential wells / 2.7： |
| The time variation again / 2.8： |
| The Ehrenfest theorem / 2.8.1： |
| Propagators and Green's functions / 2.8.2： |
| Numerical solution of the Schrodinger equation / 2.9： |
| Tunnelling / 3： |
| The tunnel barrier / 3.1： |
| The simple rectangular barrier / 3.1.1： |
| The tunnelling probability / 3.1.2： |
| A more complex barrier / 3.2： |
| The double barrier / 3.3： |
| Simple, equal barriers / 3.3.1： |
| The unequal-barrier case / 3.3.2： |
| Shape of the resonance / 3.3.3： |
| Approximation methods--the WKB method / 3.4： |
| Bound states of a general potential / 3.4.1： |
| Tunnelling devices / 3.4.2： |
| A current formulation / 3.5.1： |
| The p-n junction diode / 3.5.2： |
| The resonant tunnelling diode / 3.5.3： |
| Resonant interband tunnelling / 3.5.4： |
| Self-consistent simulations / 3.5.5： |
| The Landauer formula / 3.6： |
| Periodic potentials / 3.7： |
| Velocity / 3.7.1： |
| Superlattices / 3.7.2： |
| Single-electron tunnelling / 3.8： |
| Bloch oscillations / 3.8.1： |
| The double-barrier quantum dot / 3.8.2： |
| The harmonic oscillator / 4： |
| Hermite polynomials / 4.1： |
| The generating function / 4.2： |
| Motion of the wave packet / 4.3： |
| A simpler approach with operators / 4.4： |
| Quantizing the LC-circuit / 4.5： |
| The vibrating lattice / 4.6： |
| Motion in a quantizing magnetic field / 4.7： |
| Connection with semi-classical orbits / 4.7.1： |
| Adding lateral confinement / 4.7.2： |
| The quantum Hall effect / 4.7.3： |
| Basis functions, operators, and quantum dynamics / 5： |
| Position and momentum representation / 5.1： |
| Some operator properties / 5.2： |
| Time-varying expectations / 5.2.1： |
| Hermitian operators / 5.2.2： |
| On commutation relations / 5.2.3： |
| Linear vector spaces / 5.3： |
| Some matrix properties / 5.3.1： |
| The eigenvalue problem / 5.3.2： |
| Dirac notation / 5.3.3： |
| Fundamental quantum postulates / 5.4： |
| Translation operators / 5.4.1： |
| Discretization and superlattices / 5.4.2： |
| Time as a translation operator / 5.4.3： |
| Canonical quantization / 5.4.4： |
| Stationary perturbation theory / 6： |
| The perturbation series / 6.1： |
| Some examples of perturbation theory / 6.2： |
| The Stark effect in a potential well / 6.2.1： |
| The shifted harmonic oscillator / 6.2.2： |
| Multiple quantum wells / 6.2.3： |
| Coulomb scattering / 6.2.4： |
| An alternative technique--the variational method / 6.3： |
| Time-dependent perturbation theory / 7： |
| Electron-phonon scattering / 7.1： |
| The interaction representation / 7.3： |
| Exponential decay and uncertainty / 7.4： |
| A scattering-state basis--the T-matrix / 7.5： |
| The Lippmann-Schwinger equation / 7.5.1： |
| Coulomb scattering again / 7.5.2： |
| Orthogonality of the scattering states / 7.5.3： |
| Motion in centrally symmetric potentials / 8： |
| The two-dimensional harmonic oscillator / 8.1： |
| Rectangular coordinates / 8.1.1： |
| Polar coordinates / 8.1.2： |
| Splitting the angular momentum states with a magnetic field / 8.1.3： |
| Spectroscopy of a harmonic oscillator / 8.1.4： |
| The hydrogen atom / 8.2： |
| The radial equation / 8.2.1： |
| Angular solutions / 8.2.2： |
| Angular momentum / 8.2.3： |
| Atomic energy levels / 8.3： |
| The Fermi-Thomas model / 8.3.1： |
| The Hartree self-consistent potential / 8.3.2： |
| Corrections to the centrally symmetric potential / 8.3.3： |
| The covalent bond in semiconductors / 8.3.4： |
| Hydrogenic impurities in semiconductors / 8.4： |
| Electrons and anti-symmetry / 9： |
| Symmetric and anti-symmetric wave functions / 9.1： |
| Spin angular momentum / 9.2： |
| Systems of identical particles / 9.3： |
| Fermion creation and annihilation operators / 9.4： |
| Field operators / 9.5： |
| Connection with the many-electron formulation / 9.5.1： |
| Quantization of the Hamiltonian / 9.5.2： |
| The two-electron wave function / 9.5.3： |
| The homogeneous electron gas / 9.5.4： |
| The Green's function / 9.6： |
| The equations of motion / 9.6.1： |
| The Hartree approximation / 9.6.2： |
| Connection with perturbation theory / 9.6.3： |
| Dyson's equation / 9.6.4： |
| The self-energy / 9.6.5： |
| Solutions to selected problems |
| Index |
| Preface to the first edition |
| Preface to the second edition |
| Waves and particles / 1： |
図書
