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| Preface | |
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| Classical mechanics vs. quantum mechanics | |
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| Brief overview of classical mechanics | |
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| Overview of quantum mechanics | |
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| Basic postulates and mathematical tools | |
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| State functions (Postulate 1) | |
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| Operators (Postulate 2) | |
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| Equations of motion (Postulate 3) | |
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| Eigen functions, basis states, and representations | |
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| Alternative notations and formulations | |
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| Problems | |
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| Wave/particle duality and de Broglie waves | |
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| Free particles and de Broglie waves | |
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| Momentum representation and wave packets | |
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| Problems | |
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| Particles at boundaries, potential steps, barriers, and in quantum wells | |
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| Boundary conditions and probability currents | |
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| Particles at a potential step, up or down | |
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| Particles at a barrier and the quantum mechanical tunneling effect | |
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| Quantum wells and bound states | |
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| Three-dimensional potential box or quantum well | |
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| Problems | |
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| The harmonic oscillator and photons | |
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| The harmonic oscillator based on Heisenberg's formulation of quantum mechanics | |
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| The harmonic oscillator based on Schrodinger's formalism | |
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| Superposition state and wave packet oscillation | |
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| Photons | |
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| Problems | |
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| The hydrogen atom | |
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| The Hamiltonian of the hydrogen atom | |
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| Angular momentum of the hydrogen atom | |
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| Solution of the time-independent Schrodinger equation for the hydrogen atom | |
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| Structure of the hydrogen atom | |
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| Electron spin and the theory of generalized angular momentum | |
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| Spin-orbit interaction in the hydrogen atom | |
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| Problems | |
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| Multi-electron ions and the periodic table | |
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| Hamiltonian of the multi-electron ions and atoms | |
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| Solutions of the time-independent Schrodinger equation for multielectron ions and atoms | |
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| The periodic table | |
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| Problems | |
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| Interaction of atoms with electromagnetic radiation | |
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| Schrodinger's equation for electric dipole interaction of atoms with electromagnetic radiation | |
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| Time-dependent perturbation theory | |
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| Transition probabilities | |
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| Selection rules and the spectra of hydrogen atoms and hydrogen-like ions | |
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| The emission and absorption processes | |
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| Light Amplification by Stimulated Emission of Radiation (LASER) and the Einstein A- and B-coefficients | |
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| Problems | |
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| Simple molecular orbitals and crystalline structures | |
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| Time-independent perturbation theory | |
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| Covalent bonding of diatomic molecules | |
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| sp, sp[superscript 2], and sp[superscript 3] orbitals and examples of simple organic molecules | |
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| Diamond and zincblende structures and space lattices | |
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| Problems | |
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| Electronic properties of semiconductors and the p-n junction | |
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| Molecular orbital picture of the valence and conduction bands of semiconductors | |
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| Nearly-free-electron model of solids and the Bloch theorem | |
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| The k-space and the E vs. k diagram | |
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| Density-of-states and the Fermi energy for the free-electron gas model | |
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| Fermi-Dirac distribution function and the chemical potential | |
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| Effective mass of electrons and holes and group velocity in semiconductors | |
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| n-type and p-type extrinsic semiconductors | |
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| The p-n junction | |
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| Problems | |
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| The density matrix and the quantum mechanic Boltzmann equation | |
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| Definitions of the density operator and the density matrix | |
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| Physical interpretation and properties of the density matrix | |
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| The density matrix equation or the quantum mechanic Boltzmann equation | |
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| Examples of the solutions and applications of the density matrix equations | |
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| Problems | |
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| References | |