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كتاب اصولي از مكانيك كوانتومي (Fundamentals of Quantum Mechanics)

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كتاب اصولي از مكانيك كوانتومي (Fundamentals of Quantum Mechanics)
نام كتاب : Fundamentals of Quantum Mechanics For Solid State Electronics and Optics
نويسنده : C.L.Tang - Cornell University, Ithaca, NY
انتشارات : دانشگاه كمبريج- 2005
تعداد صفحات : 206 صفحه
حجم فايل : 1.5 مگابايت
فصول كتاب: 
Classical mechanics vs. quantum mechanics 11.1 Brief overview of classical mechanics 11.2 Overview of quantum mechanics 22 Basic postulates and mathematical tools 82.1 State functions (Postulate 1) 82.2 Operators (Postulate 2) 122.3 Equations of motion (Postulate 3) 182.4 Eigen functions, basis states, and representations 212.5 Alternative notations and formulations 232.6 Problems 313 Wave/particle duality and de Broglie waves 333.1 Free particles and de Broglie waves 333.2 Momentum representation and wave packets 373.3 Problems 394 Particles at boundaries, potential steps, barriers, and in quantum wells 404.1 Boundary conditions and probability currents 404.2 Particles at a potential step, up or down 434.3 Particles at a barrier and the quantum mechanical tunneling effect 474.4 Quantum wells and bound states 504.5 Three-dimensional potential box or quantum well 594.6 Problems 605 The harmonic oscillator and photons 635.1 The harmonic oscillator based on Heisenberg’s formulation of quantummechanics 635.2 The harmonic oscillator based on Schro¨ dinger’s formalism 705.3 Superposition state and wave packet oscillation 735.4 Photons 755.5 Problems 84vii6 The hydrogen atom 866.1 The Hamiltonian of the hydrogen atom 866.2 Angular momentum of the hydrogen atom 876.3 Solution of the time-independent Schro¨ dinger equation for thehydrogen atom 946.4 Structure of the hydrogen atom 976.5 Electron spin and the theory of generalized angular momentum 1016.6 Spin–orbit interaction in the hydrogen atom 1066.7 Problems 1087 Multi-electron ions and the periodic table 1107.1 Hamiltonian of the multi-electron ions and atoms 1107.2 Solutions of the time-independent Schro¨ dinger equation for multielectronions and atoms 1127.3 The periodic table 1157.4 Problems 1188 Interaction of atoms with electromagnetic radiation 1198.1 Schro¨ dinger’s equation for electric dipole interaction of atoms withelectromagnetic radiation 1198.2 Time-dependent perturbation theory 1208.3 Transition probabilities 1228.4 Selection rules and the spectra of hydrogen atoms and hydrogen-like ions 1268.5 The emission and absorption processes 1288.6 Light Amplification by Stimulated Emission of Radiation (LASER)and the Einstein A- and B-coefficients 1308.7 Problems 1339 Simple molecular orbitals and crystalline structures 1359.1 Time-independent perturbation theory 1359.2 Covalent bonding of diatomic molecules 1399.3 sp, sp2, and sp3 orbitals and examples of simple organic molecules 1449.4 Diamond and zincblende structures and space lattices 1489.5 Problems 14910 Electronic properties of semiconductors and the p-n junction 15110.1 Molecular orbital picture of the valence and conduction bands ofsemiconductors 15110.2 Nearly-free-electron model of solids and the Bloch theorem 15310.3 The k-space and the E vs. k diagram 15710.4 Density-of-states and the Fermi energy for the free-electron gas model 16310.5 Fermi–Dirac distribution function and the chemical potential 16410.6 Effective mass of electrons and holes and group velocity insemiconductors 170viii Contents10.7 n-type and p-type extrinsic semiconductors 17310.8 The p–n junction 17610.9 Problems 18011 The density matrix and the quantum mechanic Boltzmann equation 18211.1 Definitions of the density operator and the density matrix 18211.2 Physical interpretation and properties of the density matrix 18311.3 The density matrix equation or the quantum mechanic Boltzmannequation 18611.4 Examples of the solutions and applications of the density matrixequations 18811.5 Problems 202References 204Index

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