Preface |
Origins of Quantum Physics / 1: |
Historical Note / 1.1: |
Particle Aspect of Radiation / 1.2: |
Wave Aspect of Particles / 1.3: |
Particles versus Waves / 1.4: |
Indeterministic Nature of the Microphysical World / 1.5: |
Atomic Transitions and Spectroscopy / 1.6: |
Quantization Rules / 1.7: |
Wave Packets / 1.8: |
Concluding Remarks / 1.9: |
Solved Problems / 1.10: |
Exercises |
Mathematical Tools of Quantum Mechanics / 2: |
Introduction / 2.1: |
The Hilbert Space and Wave Functions / 2.2: |
Dirac Notation / 2.3: |
Operators / 2.4: |
Representation in Discrete Bases / 2.5: |
Representation in Continuous Bases / 2.6: |
Matrix and Wave Mechanics / 2.7: |
Postulates of Quantum Mechanics / 2.8: |
The Basic Postulates of Quantum Mechanics / 3.1: |
The State of a System / 3.3: |
Observables and Operators / 3.4: |
Measurement in Quantum Mechanics / 3.5: |
Time Evolution of the System's State / 3.6: |
Symmetries and Conservation Laws / 3.7: |
Connecting Quantum to Classical Mechanics / 3.8: |
One-Dimensional Problems / 3.9: |
Properties of One-Dimensional Motion / 4.1: |
The Free Particle: Continuous States / 4.3: |
The Potential Step / 4.4: |
The Potential Barrier and Well / 4.5: |
The Infinite Square Well Potential / 4.6: |
The Finite Square Well Potential / 4.7: |
The Harmonic Oscillator / 4.8: |
Numerical Solution of the Schr_dinger Equation / 4.9: |
Angular Momentum / 4.10: |
Orbital Angular Momentum / 5.1: |
General Formalism of Angular Momentum / 5.3: |
Matrix Representation of Angular Momentum / 5.4: |
Geometrical Representation of Angular Momentum / 5.5: |
Spin Angular Momentum / 5.6: |
Eigen functions of Orbital Angular Momentum / 5.7: |
Three-Dimensional Problems / 5.8: |
3D Problems in Cartesian Coordinates / 6.1: |
3D Problems in Spherical Coordinates / 6.3: |
Rotations and Addition of Angular Momenta / 6.4: |
Rotations in Classical Physics / 7.1: |
Rotations in Quantum Mechanics / 7.2: |
Addition of Angular Momenta / 7.3: |
Scalar, Vector and Tensor Operators / 7.4: |
Identical Particles / 7.5: |
Many-Particle Systems / 8.1: |
Systems of Identical Particles / 8.2: |
The Pauli Exclusion Principle / 8.3: |
The Exclusion Principle and the Periodic Table / 8.4: |
Approximation Methods for Stationary States / 8.5: |
Time-Independent Perturbation Theory / 9.1: |
The Variational Method / 9.3: |
The Wentzel "Kramers" Brillou in Method / 9.4: |
Time-Dependent Perturbation Theory / 9.5: |
The Pictures of Quantum Mechanics / 10.1: |
Adiabatic and Sudden Approximations / 10.3: |
Interaction of Atoms with Radiation / 10.5: |
Scattering Theory / 10.6: |
Scattering and Cross Section / 11.1: |
Scattering Amplitude of Spinless Particles / 11.2: |
The Born Approximation / 11.3: |
Partial Wave Analysis / 11.4: |
Scattering of Identical Particles / 11.5: |
The Delta Function / 11.6: |
One-Dimensional Delta Function / A.1: |
Three-Dimensional Delta Function / A.2: |
Angular Momentum in Spherical Coordinates / B: |
Derivation of Some General / B.1: |
Gradient and Laplacianin Spherical Coo / B.2: |
Preface |
Origins of Quantum Physics / 1: |
Historical Note / 1.1: |
Particle Aspect of Radiation / 1.2: |
Wave Aspect of Particles / 1.3: |
Particles versus Waves / 1.4: |