Physics 452 Quantum mechanics II Winter 2011 Instructor: Karine Chesnel

Class: M, W, F at 1 pm C247 ESC Instructor: Karine Chesnel N319 ESC TA: Mark Hutchison Physics 452

Textbook: David J. Griffiths Introduction to Quantum Mechanics, 2nd ed. Get your CID: Register your I-clicker by Friday!

Physics 452- schedule Jan 4 – Jan 31 Exam I: Th Feb 3/ S Feb 5 Statistical QM Perturbation theory Hydrogen fine structure Zeeman effect Hyperfine splitting Feb 7 – Feb 28 Variational principle He Ground state H 2 molecule ion WKB approximation Connection formula Exam II: Th Mar 3/ S Mar 5 Mar 3 – Mar 26 Final Exam: Th Apr 21 Two-levels system Emission and absorption Adiabatic theorem Aharonov-Bohm effect Scattering Partial Wave Phase shifts Born approximation Compton effect

Physics 452- Homework Homework twice a week: due T & Th 7pm Help sessions T & Th 3 - 6pm Return your homework in the Phys 451 slots across N373 ESC Don’t forget to write your CID on each piece of your work If you use computer softwares (Matlab, Maple, Mathematica…) to do a calculation, don’t forget to print and include all your actual work. Try solving problems on your own first

Physics 452 Homework First homework assignment: Tuesday Jan 11 by 7pm Assignment # 1: Problems 5.22, 5.23, 5.24 in the textbook

Physics 452- Grading Homework: 40% In class quizzes: 10% Exams: 30% Final 20% Check your grade during the semester:

Quick review of main concepts learned in Phys 451 Some important milestones Werner Heisenberg Uncertainty Principle Erwin Schrödinger Schrödinger Equation Wolfgang Pauli Pauli exclusion principle

Essential ideas Schrödinger equation (1926) Quick review of main concepts learned in Phys 451

Time-independent Schrödinger equation Here The potential is independent of time Stationary state General state Quick review of Phys 451

Formalism Linear transformation (matrix) Operators Wave function Vector Observables are Hermitian operators is an eigenvector of Q is an eigenvalue of Q Quick review of Phys 451

Wave function and expectation values “Operator” x “Operator” p Quick review of Phys 451

Heisenberg uncertainty principle Quick review of main concepts learned in Phys 451 Position - momentum Time - energy

Square wells and delta potentials Continuity at boundaries Delta functions Square well, steps, cliffs… is continuous is continuous except where V is infinite     m dx d         is continuous Quick review of Phys 451

Quantum mechanics The angular momentum eigenvectors x y z r Spherical harmonics are the eigenfunctions

Quantum mechanics The spin

Quick review of main concepts learned in Phys 451 Pauli exclusion principle Two identical fermions can not occupy the same state at the same time Fermions: antisymmetrical states Bosons: symmetrical states

Phys 451 Final test Class average: 82.8 /100 Problem 1: 16.3 /20 Problem 2: 14.9 /20 Problem 3: 18.7 /20 Problem 4: 17.3 /20 Problem 5: 15.5 /20 Highest score: 99 /100