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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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