Syllabus for Quantum Mechanics

(Physics 115B, UC Davis, Fall 2010)
 Review
 Spin
 Quantum Mechanics in 3D
 Shrodinger Eq, in Spherical Coordinates
 Hydrogen Atom
 Angular Momentum
 Spin revisited
 ClebschGordan Coefficients
 Identical Particles
 Two Particle Systems
 Identical Bosons and Fermions
 Atoms
 Fermi Energy
 Quantum Statistical Mechanics
 TimeIndependent Perturbation Theory
 Nondegenerate
 Degenerate
 Fine structure
 Zeeman effect
 Hyperfine Splitting
 Variational Method
 bounding the ground state energy
 ionized hydrogen molecule
 Timedependent Perturbation Theory
 Twolevel Systems
 Emission and Absorption of Radiation
 Spontaneous Emission
 Scattering
 Partial Wave Analysis
 Phase Shifts
 Born Approximation
 How does a Quantum Computer work and what is the current progress on it? (Answered in lecture 23.)
 Why are Quantum Mechanics and General Relativity considered to be incompatible and how are physicists trying to solve this problem? (Answered in lecture 17.)
 How does quantum teleportation work? Is it controllable or is it random? How can we use it and what does it imply for future physics? (Answered in lecture 20.)
 I have heard that when a particle is taking a path through space it is actually taking ALL paths simultaneously. My question is how is this possible and can we see some of the calculations done using this concept? (Answered in lecture 24.)
 Why are only fermions subject to the Pauli Exclusion Principle and not bosons? Is there some deeper physical principle or is it just another axiom of quantum mechanics? (Answered in lecture 10.)
 Problem Set 1 due Oct. 1
 Problem Set 2 due Oct. 4
 Problem Set 3 due Oct. 8
 Problem Set 4 due Oct. 12
 Problem Set 5 due Oct. 15
 Problem Set 6 due Oct. 19
 Problem Set 7 due Oct. 22
 Problem Set 8 due Oct. 29
 Problem Set 9 due Nov. 2
 Problem Set 10 due Nov. 5
 Problem Set 11 due Nov. 9
 Problem Set 12 due Nov. 12
 Problem Set 13 due Nov. 18
 Problem Set 14 due Nov. 19
 Problem Set 15 due Nov. 23
 Problem Set 16 due Nov. 30
 Lecture 1: Principles of QM applied to Spin
 Lecture 2: Schrödinger Eq. in 3D
 Lecture 3: Spehrical Harmonics
 Lecture 4: Hydrogen Atom
 Lecture 5: Hydrogen Spectrum and Angular Momentum Commutators
 Lecture 6: Angular Momentum Raising and Lowering Operators
 Lecture 7: Spin
 Lecture 8: Addition of Angular Momentum
 Lecture 9: Atoms
 Lecture 10: Free Electron Gas
 Lecture 11: Quantum Statistical Mechanics
 Lecture 12: Quantum Statistical Mechanics: Applications
 Lecture 13: Perturbation Theory
 Lecture 14: Perturbation Theory: Examples
 Lecture 15: Degenerate Perturbation Theory
 Lecture 16: Degenerate Perturbation Theory: Examples
 Lecture 17: Fine Structure
 Lecture 18: Hyperfine Structure and the Stark Effect
 Lecture 19: Variational Method
 Lecture 20: Time Dependent Perturbation Theory
 Lecture 21: Interaction with Light
 Lecture 22: Hydrogen Decay
 Lecture 23: NMR and Scattering
 Lecture 24: Quantum Scattering
 Lecture 25: Born Approximation
 Lecture 26: Yukawa Potential
 Lecture 27: Doping Semiconductors
 Lecture 1: Principles of QM applied to Spin
 Lecture 2: Schrödinger Eq. in 3D
 Lecture 3: Spehrical Harmonics
 Lecture 4: Hydrogen Atom
 Lecture 5: Hydrogen Spectrum
 Lecture 6: Angular Momentum Raising and Lowering Operators
 Lecture 7: Spin
 Lecture 9: Atoms
 Lecture 10: Free Electron Gas
 Lecture 11: Quantum Statistical Mechanics
 Lecture 12: Quantum Statistical Mechanics: Applications
 Lecture 13: Perturbation Theory
 Lecture 14: Perturbation Theory: Examples
 Lecture 17: Fine Structure
 Lecture 18: Hyperfine Structure and the Stark Effect
 Lecture 19: Variational Method
 Lecture 20: Time Dependent Perturbation Theory
 Lecture 22: Hydrogen Decay
 Lecture 23: NMR and Scattering
 Lecture 26: Yukawa Potential
 SPINS simulation software
 History of the SternGerlach experiment
 ClebschGordan Calculator
 The man behind Bose statistics
 Fermi surfaces
 Magnetic Resonance Imaging
 Discovery of the Hyperfine line
 Atomic Cookies!
 scattering in 2D
 Bloch and Purcell: Nobel Prize in Physics 1952
 Ewen & Purcell
 Quantum encryption sets speed record
Location: 130 Physics
Time: MWF 10:0010:50 am
Professor: John Terning
email: jterning+115B@gmail.com
Office: 435
Office Hours: Wed. 3 pm
Web Page: http://particle.physics.ucdavis.edu/teaching/115B/index.php
Grader: HaiYing Cai
email: HaiYing Cai
Office: 436
Office Hours: Wed. 5 pm
Course Outline
Textbook: "Introduction to Quantum Mechanics" by D.J. Griffiths
Grading will be based on regular reading assignments, problem sets, two midterms, and a final exam. The grade breakdown will be 10% on reading assignments, 30% on problems sets, 15% on each midterm, and 30% on the final exam
Quantum Questions
As chosen by 115B students, these questions will be answered during the quarter:Assignments
Reading assignments are due one hour before the start of class.
Homework is due on Tuesdays in the grader's mailbox and Fridays at the start of class.
Note 15 % will be deducted per day late for all problem sets, up until the solutions are posted online. If you want to submit a late assignment, please make arrangements with the grader to drop it off.
Lecture Notes
Audio recordings of the lectures are available for downloading directly or through iTunes.
Slides
First Midterm: Oct. 25
The first Midtern will cover Chapter 4.
out of 25, mean: 16.1, standard deviation: 2.8, median 16, mode 17
Second Midterm: Nov. 17
The second Midtern will cover Chapter 5 (except for section 5.3.2) and Chapter 6 up to the end of section 6.3.
out of 100, mean: 79.3, standard deviation: 8.6, median 79.5, mode 88
Final: Wed Dec. 8, from 10:30 am to 12:30 pm.
out of 60, mean: 43.7, standard deviation: 7.3, median 45, mode 49
Additional Materials
Other Information
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