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Preface | |
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Origins of Quantum Physics | |
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Historical Note | |
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Particle Aspect of Radiation | |
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Wave Aspect of Particles | |
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Particles versus Waves | |
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Indeterministic Nature of the Microphysical World | |
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Atomic Transitions and Spectroscopy | |
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Quantization Rules | |
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Wave Packets | |
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Concluding Remarks | |
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Solved Problems | |
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Exercises | |
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Mathematical Tools of Quantum Mechanics | |
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Introduction | |
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The Hilbert Space and Wave Functions | |
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Dirac Notation | |
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Operators | |
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Representation in Discrete Bases | |
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Representation in Continuous Bases | |
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Matrix and Wave Mechanics | |
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Concluding Remarks | |
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Solved Problems | |
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Exercises | |
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Postulates of Quantum Mechanics | |
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Introduction | |
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The Basic Postulates of Quantum Mechanics | |
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The State of a System | |
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Observables and Operators | |
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Measurement in Quantum Mechanics | |
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Time Evolution of the System's State | |
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Symmetries and Conservation Laws | |
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Connecting Quantum to Classical Mechanics | |
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Solved Problems | |
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Exercises | |
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One-Dimensional Problems | |
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Introduction | |
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Properties of One-Dimensional Motion | |
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The Free Particle: Continuous States | |
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The Potential Step | |
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The Potential Barrier and Well | |
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The Infinite Square Well Potential | |
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The Finite Square Well Potential | |
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The Harmonic Oscillator | |
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Numerical Solution of the Schr_dinger Equation | |
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Solved Problems | |
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Exercises | |
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Angular Momentum | |
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Introduction | |
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Orbital Angular Momentum | |
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General Formalism of Angular Momentum | |
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Matrix Representation of Angular Momentum | |
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Geometrical Representation of Angular Momentum | |
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Spin Angular Momentum | |
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Eigen functions of Orbital Angular Momentum | |
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Solved Problems | |
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Exercises | |
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Three-Dimensional Problems | |
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Introduction | |
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3D Problems in Cartesian Coordinates | |
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3D Problems in Spherical Coordinates | |
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Concluding Remarks | |
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Solved Problems | |
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Exercises | |
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Rotations and Addition of Angular Momenta | |
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Rotations in Classical Physics | |
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Rotations in Quantum Mechanics | |
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Addition of Angular Momenta | |
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Scalar, Vector and Tensor Operators | |
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Solved Problems | |
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Exercises | |
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Identical Particles | |
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Many-Particle Systems | |
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Systems of Identical Particles | |
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The Pauli Exclusion Principle | |
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The Exclusion Principle and the Periodic Table | |
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Solved Problems | |
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Exercises | |
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Approximation Methods for Stationary States | |
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Introduction | |
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Time-Independent Perturbation Theory | |
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The Variational Method | |
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The Wentzel "Kramers" Brillou in Method | |
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Concluding Remarks | |
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Solved Problems | |
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Exercises | |
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Time-Dependent Perturbation Theory | |
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Introduction | |
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The Pictures of Quantum Mechanics | |
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Time-Dependent Perturbation Theory | |
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Adiabatic and Sudden Approximations | |
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Interaction of Atoms with Radiation | |
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Solved Problems | |
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Exercises | |
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Scattering Theory | |
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Scattering and Cross Section | |
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Scattering Amplitude of Spinless Particles | |
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The Born Approximation | |
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Partial Wave Analysis | |
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Scattering of Identical Particles | |
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Solved Problems | |
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Exercises | |
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The Delta Function | |
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One-Dimensional Delta Function | |
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Three-Dimensional Delta Function | |
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Angular Momentum in Spherical Coordinates | |
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Derivation of Some General | |
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Gradient and Laplacianin Spherical Coo | |