EE222S Applied Quantum Mechanics, Summer 2009 Logistics MoWeFr 2:15PM – 3:05PM, Quad 200-219 2 credits, Graded or Pass-Fail Instructor S. Ekin Kocabas Room 227, Ginzton Laboratory/Applied Physics, Stanford University, Stanford, CA [email protected], (650)725-2291 Course web page: http://ee222s.stanford.edu Office Hours: To be determined Email List: [email protected] Summary of course content Emphasis is on applications in modern devices and systems. Topics include: Schrödinger’s equation, eigenfunctions and eigenvalues, operator approach to quantum mechanics, Dirac notation, solutions of simple problems including quantum wells and tunneling. Quantum harmonic oscillator, coherent states. Angular momentum and hydrogen atom. Some calculation techniques as time permits (matrix diagonalization, perturbation theory, and/or variational method). Who should take the course? The course is intended for students who have not taken a physics quantum mechanics course to the depth of the above topics, but who want to understand the concepts and practical techniques of quantum mechanics. It does not require physics knowledge above first year college physics, though an undergraduate course in modern physics would help. It does need basic integral and differential calculus, some familiarity with differential equations, elementary partial differential equations, and matrices and associated linear algebra concepts (e.g., eigenvectors and eigenvalues). The course is otherwise relatively self-contained. Some assignments will require use of a computer with high-level math packages such as Mathcad, Matlab, or Mathematica. EE222S is an abbreviated version of the regular EE222 course. It will cover all the core material of EE222, but with a reduced work load. It cannot be used for EE MS depth or breadth, but can be counted as other EE units. Examinations and grading Reading assignments — %10 Midterm (take home) — %20 Final (take home) — %30 Weekly problem sets, due one week later — %40 Textbook (required) Quantum Mechanics for Scientists and Engineers, David A. B. Miller, Cambridge University Press, 2008. Tentative Course Schedule Contents of the last two weeks (weeks 7&8) are subject to change depending on the interests of the course participants. Week 1 June 24 (Wed) — Chapter 1: Introduction June 26 (Fri) — Chapter 2: Time-Independent Schrodinger Equation (Sec. 2.1–2.3) Week 2 June 29 (Mon) — Chapter 2: Time-Independent Schrodinger Equation (Sec. 2.4–2.6) July 1 (Wed) — Chapter 2: Time-Independent Schrodinger Equation (Sec. 2.7–2.8) July 3 (Fri) — Independence Day holiday Week 3 July 6 (Mon) — Chapter 2: Time-Independent Schrodinger Equation (Sec. 2.9–2.10) July 8 (Wed) — Chapter 3: Time-Dependent Schrodinger Equation (Sec. 3.1–3.5) July 10 (Fri) — Chapter 3: Time-Dependent Schrodinger Equation (Sec. 3.6) Week 4 July 13 (Mon) — Chapter 3: Time-Dependent Schrodinger Equation (Sec. 3.7) July 15 (Wed) — Chapter 3: Time-Dependent Schrodinger Equation (Sec. 3.8–3.11) July 17 (Fri) — Chapter 3: Time-Dependent Schrodinger Equation (Sec. 3.12–3.15) Week 5 July 20 (Mon) — Chapter 4: Functions and Operators (Sec. 4.1) July 22 (Wed) — Chapter 4: Functions and Operators (Sec. 4.1) July 24 (Fri) — Chapter 4: Functions and Operators (Sec. 4.2–4.5) Week 6 July 27 (Mon) — Chapter 4: Functions and Operators (Sec. 4.6–4.10) July 29 (Wed) — Chapter 4: Functions and Operators (Sec. 4.11–4.13) July 31 (Fri) — Chapter 5: Operators and Quantum Mechanics (Sec. 5.1–5.2) Week 7 Aug 3 (Mon) — Chapter 9: Angular Momentum (Sec. 9.1–9.2) Aug 5 (Wed) — Chapter 9: Angular Momentum (Sec. 9.3–9.5) Aug 7 (Fri) — Chapter 10: Hydrogen Atom (Sec. 10.1–10.3) Week 8 Aug 10 (Mon) — Chapter 10: Hydrogen Atom (Sec. 10.4–10.5) Aug 12 (Wed) — Chapter 6: Approximation Methods in Quantum Mechanics Aug 14–15 (Fri-Sat) — End quarter exam .