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Quantum Mechanics 6 The subject of most of this book is the quantum mechanics of systems which have a small number of degrees of freedom. The book is a mix of descriptions of quantum mechanics itself, the general properties of systems described by quantum mechanics, and general techniques for describing their behavior. This lecture will introduce quantum mechanics from a more abstract point of view than the first quantum mechanics course that you took your second year. What I would like to achieve with this course is for you to gain a deeper understanding of the structure of quantum mechanics and of some of its key points. Quantum Physics Eric D’Hoker Department of Physics and Astronomy, University of California, Los Angeles, CA 90095, USA 15 September 2012 1. Lecture note files. LEC # LECTURE NOTES TOPICS; 1: Lecture 1 Notes (PDF) A 'Weird' Example in Quantum Mechanics, The Fundamental Postulates of Quantum Mechanics, Hilbert Spaces. This set of supplementary lecture notes is the outgrowth of a course I taught, ECE 487, Quantum Electronics, at ECE Department, University of Illinois at Urbana-Champaign. It was intended to teach quantum mechanics to undergraduate students as well as graduate students. The primary text book for this course is Quantum Mechanics for Scientists. These notes on Quantum Chemistry were written by Professor David Sherrill as a resource for students at the college through post-graduate level interested in quantum mechanics and how it is used in chemistry.
Relativistic Quantum Mechanics Lecture Notes Pdf
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Chemistry Quantum Mechanics Notes
Lec # | TOPICS |
---|---|
1-4 | Experimental Evidence for Quantum Mechanics (PDF) Polarization of Light Single Molecule Fluorescence |
5-7 | The Machinery of Quantum Mechanics (PDF) Hilbert Space State Vectors Bra-Ket Operators and Eigenvalues |
8-12 | Exactly Solvable Problems (PDF) Operators and States in Real Space Harmonic Oscillator Position Representation and Wave Mechanics Piecewise Constant Potentials |
13-15 | Matrix Mechanics (PDF) Vector Representation of States Matrices as Operators Interesting Matrix Properties Discrete Variable Representation Variational Method |
16-18 | Time Dependence (PDF) Energy Eigenstates and Stationary States The Propagator Time Dependence of Average Values Matrix Representations of the Propagator Example: Inversion of the Ammonia Molecule |
19-20 | Angular Momentum (PDF) Rotations Commutation Relations Eigenstates |
21-22 | Central Potentials (PDF) Spherical Polar Coordinates Orbital Angular Momentum Operators Spherical Harmonics The Radial Equation Hydrogen-like Atoms Electron Spin |
23-24 | Addition of Angular Momenta (PDF) Coupled and Uncoupled Bases Recursion Relations The Triangle Rule |
25 | Wigner-Eckart Theorem (PDF) Spherical Tensors |
26-28 | Perturbation Theory (PDF) |
29-31 | Identical Particles (PDF) The Product Basis Symmetry Under Exchange Two Electron Atoms Hartree-Fock Perturbation Theory Configuration Interaction |
32-34 | The Born-Oppenheimer Approximation (PDF) The Adiabatic Approximation The Coupled Channel Hamiltonian Non-Adiabatic Effects Diabatic States Electron Transfer |
35-38 | The Hydrogen Molecule (PDF) Minimal Atomic Orbital Basis Molecular Orbital Picture Valence Bond Picture |