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Introductory Quantum Mechanics I >> Content Detail

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Calendar

This calendar provides the lecture topics for the course.


	LEC #				TOPICS


	I. One Dimensional Problems


	1				Course Outline. Free Particle. Motion?


	2				Infinite Box, δ(x) Well, δ(x) Barrier


	3				\|Ψ(x,t)\|²: Motion, Position, Spreading, Gaussian Wavepacket


	4				Information Encoded in Ψ(x,t). Stationary Phase.


	5				Continuum Normalization


	6				Linear V(x). JWKB Approximation and Quantization.


	7				JWKB Quantization Condition


	8				Rydberg-Klein-Rees: V(x) from EvJ


	9				Numerov-Cooley Method


	II. Matrix Mechanics


	10				Matrix Mechanics


	11				Eigenvalues and Eigenvectors. DVR Method.


	12				Matrix Solution of Harmonic Oscillator (Ryan Thom Lectures)


	13				Creation (a^† ) and Annihilation (a) Operators


	14				Perturbation Theory I. Begin Cubic Anharmonic Perturbation.


	15				Perturbation Theory II. Cubic and Morse Oscillators.


	16				Perturbation Theory III. Transition Probability. Wavepacket. Degeneracy.


	17				Perturbation Theory IV. Recurrences. Dephasing. Quasi-Degeneracy. Polyads.


	18				Variational Method


	19				Density Matrices I. Initial Non-Eigenstate Preparation, Evolution, Detection.


	20				Density Matrices II. Quantum Beats. Subsystems and Partial Traces.


	III. Central Forces and Angular Momentum


	21				3-D Central Force I. Separation of Radial and Angular Momenta.


	22				3-D Central Force II. Levi-Civita. ε_ijk.


	23				Angular Momentum Matrix Elements from Commutation Rules


	24				J-Matrices


	25				H^SO + H^Zeeman: Coupled vs. Uncoupled Basis Sets


	26				\|JLSMJ>↔ \|LMLMS> by Ladders Plus Orthogonality


	27				Wigner-Eckart Theorem


	28				Hydrogen Radial Wavefunctions


	29				Pseudo One-Electron Atoms: Quantum Defect Theory


	IV. Many Particle Systems: Atoms, Coupled Oscillators, Periodic Lattice


	30				Matrix Elements of Many-Electron Wavefunctions


	31				Matrix Elements of One-Electron, F (i), and Two-Electron, G (i,j) Operators


	32				Configurations and L-S-J "Terms" (States)


	33				Many-Electron L-S-J Wavefunctions: L² and S² Matrices and Projection Operators


	34				e²/rij and Slater Sum Rule Method


	35				Spin Orbit: ζ(N,L,S)↔ζnl


	36				Holes. Hund's Third Rule. Landé g-Factor via W-E Theorem.


	37				Infinite 1-D Lattice I


	38				Infinite 1-D Lattice II. Band Structure. Effective Mass.


	39				Catch-up


	40				Wrap-up

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Introductory Quantum Mechanics I >> Content Detail

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