Preface | |

Origins of Quantum Physics | |

Historical Note | |

Particle Aspect of Radiation | |

Wave Aspect of Particles | |

Particles versus Waves | |

Indeterministic Nature of the Microphysical World | |

Atomic Transitions and Spectroscopy | |

Quantization Rules | |

Wave Packets | |

Concluding Remarks | |

Solved Problems | |

Exercises | |

Mathematical Tools of Quantum Mechanics | |

Introduction | |

The Hilbert Space and Wave Functions | |

Dirac Notation | |

Operators | |

Representation in Discrete Bases | |

Representation in Continuous Bases | |

Matrix and Wave Mechanics | |

Concluding Remarks | |

Solved Problems | |

Exercises | |

Postulates of Quantum Mechanics | |

Introduction | |

The Basic Postulates of Quantum Mechanics | |

The State of a System | |

Observables and Operators | |

Measurement in Quantum Mechanics | |

Time Evolution of the System's State | |

Symmetries and Conservation Laws | |

Connecting Quantum to Classical Mechanics | |

Solved Problems | |

Exercises | |

One-Dimensional Problems | |

Introduction | |

Properties of One-Dimensional Motion | |

The Free Particle: Continuous States | |

The Potential Step | |

The Potential Barrier and Well | |

The Infinite Square Well Potential | |

The Finite Square Well Potential | |

The Harmonic Oscillator | |

Numerical Solution of the Schr_dinger Equation | |

Solved Problems | |

Exercises | |

Angular Momentum | |

Introduction | |

Orbital Angular Momentum | |

General Formalism of Angular Momentum | |

Matrix Representation of Angular Momentum | |

Geometrical Representation of Angular Momentum | |

Spin Angular Momentum | |

Eigen functions of Orbital Angular Momentum | |

Solved Problems | |

Exercises | |

Three-Dimensional Problems | |

Introduction | |

3D Problems in Cartesian Coordinates | |

3D Problems in Spherical Coordinates | |

Concluding Remarks | |

Solved Problems | |

Exercises | |

Rotations and Addition of Angular Momenta | |

Rotations in Classical Physics | |

Rotations in Quantum Mechanics | |

Addition of Angular Momenta | |

Scalar, Vector and Tensor Operators | |

Solved Problems | |

Exercises | |

Identical Particles | |

Many-Particle Systems | |

Systems of Identical Particles | |

The Pauli Exclusion Principle | |

The Exclusion Principle and the Periodic Table | |

Solved Problems | |

Exercises | |

Approximation Methods for Stationary States | |

Introduction | |

Time-Independent Perturbation Theory | |

The Variational Method | |

The Wentzel "Kramers" Brillou in Method | |

Concluding Remarks | |

Solved Problems | |

Exercises | |

Time-Dependent Perturbation Theory | |

Introduction | |

The Pictures of Quantum Mechanics | |

Time-Dependent Perturbation Theory | |

Adiabatic and Sudden Approximations | |

Interaction of Atoms with Radiation | |

Solved Problems | |

Exercises | |

Scattering Theory | |

Scattering and Cross Section | |

Scattering Amplitude of Spinless Particles | |

The Born Approximation | |

Partial Wave Analysis | |

Scattering of Identical Particles | |

Solved Problems | |

Exercises | |

The Delta Function | |

One-Dimensional Delta Function | |

Three-Dimensional Delta Function | |

Angular Momentum in Spherical Coordinates | |

Derivation of Some General | |

Gradient and Laplacianin Spherical Coo | |

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