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Quantum Mechanics
for Science and Engineering

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After completing this course you should (1) have a working knowledge of the foundations, techniques and key results of quantum mechanics; (2) be able to comprehend basic quantum mechanical applications at the research level, e.g., in research articles; (3) be able to competently explain/teach these topics to others; (4) be able to teach yourself any other related quantum mechanics material as you need it.

Professor Charles G. Torre
Physics Department
Utah State University

Select a Lesson

bullet 1. What is a Theory?
bullet 2. Quantum Theory of Spin 1/2
bullet 3. Spin States
bullet 4. The Spin Operators
bullet 5. An Alternate Third Postulate
bullet 6. Complete Set of Commuting Observables
bullet 7. Observables with Continuous and/or Unbounded Values
bullet 8. Momentum
bullet 9. Momentum Wave Functions
bullet 10. Gaussian State
bullet 11. Product Observables
bullet 12. The Hamiltonian and the Schrodinger Equation
bullet 13. Spin 1/2 in a Uniform Magnetic Field
bullet 14. Time-Energy Uncertainty Principle (Cont.)
bullet 15. Compatible/Incompatible Observations in the Heiseberg Picture
bullet 16. Ehrenfest's Theorem
bullet 17. Spectrum of the SHO Hamiltonian (Cont.)
bullet 18. Stationary States and Classical Mechanics
bullet 19. Charged Particle in an Electromagnetic Field
bullet 20. Gauge Transformations (Cont.)
bullet 21. Rotations in Three Dimensions
bullet 22. Rotations in Quantum Mechanics
bullet 23. Spin Precession as a Rotation
bullet 24. Angular Momentum Eigenvalues and Eigenvectors
bullet 25. Position Representation of Angular Momentum Operators
bullet 26. Two Spin 1/2 Systems: Observables
bullet 27. Angular Momentum Addition
bullet 28. Spin Correlations and Quantum Weirdness: The EPR Argument
bullet 29. Spin Correlations and Quantum Weirdness
bullet 30. Bell's Theorem (Cont.)
bullet 31. Degenerate Perturbation Theory
bullet 32. Degenerate Perturbation Theory (Cont.)
bullet 33. Hyperfine Structure
bullet 34. Time-Dependent Perturbation Theroy (Cont.)
bullet 35. Fermi's Golden Rule
bullet 36. The Radiation Field
bullet 37. Electric Dipole Transitions

 

David L. Heiserman, Editor

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Revised: June 06, 2015