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Course Description
Quantum Physics I explores the experimental basis of quantum mechanics, including:
This class also provides an introduction to wave mechanics, via:

Schrödinger's equation

Wave functions

Wave packets

Probability amplitudes

Stationary states

The Heisenberg uncertainty principle

Zeropoint energies

Solutions to Schrödinger's equation in one dimension

Schrödinger's equation in three dimensions
Prerequisites
In order to register for 8.04, students must have previously completed Vibrations and Waves (8.03) or Electrodynamics (6.014), and Differential Equations (18.03 or 18.034) with a grade of C or higher.
Textbooks
Required
Gasiorowicz, Stephen. Quantum Physics. 3rd ed. Hoboken, NJ: Wiley, 2003. ISBN: 9780471057000.
Strongly Recommended
French, A. P., and Edwin F. Taylor. Introduction to Quantum Physics. New York, NY: Norton, 1978. ISBN: 9780393090154.
Read Again and Again
Feynman, Richard P., Robert B. Leighton, and Matthew L. Sands. The Feynman Lectures on Physics: Commemorative Issue. Vol. 3. Redwood City, CA: AddisonWesley, 1989. ISBN: 9780201510058.
References
Liboff, Richard L. Introductory Quantum Mechanics. 4th ed. San Francisco, CA: Addison Wesley, 2003. ISBN: 9780805387148.
Eisberg, Robert Martin, and Robert Resnick. Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles. New York, NY: Wiley, 1974. ISBN: 9780471873730.
Problem Sets
The weekly problem sets are an essential part of the course. Working through these problems is crucial to understanding the material deeply. After attempting each problem by yourself, we encourage you to discuss the problems with the teaching staff and with each otherthis is an excellent way to learn physics! However, you must writeup your solutions by yourself. Your solutions should not be transcriptions or reproductions of someone else's work.
Exams
There will be two inclass exams. There will also be a comprehensive final exam, scheduled by the registrar and held during the final exam period.
Grading Policy
Grading criteria.
ACTIVITIES 
PERCENTAGES 
Exam 1 
20% 
Exam 2 
20% 
Final exam 
40% 
Problem sets 
20% 
Calendar
Course calendar.
LEC # 
TOPICS 
1 
Overview, scale of quantum mechanics, boundary between classical and quantum phenomena 
2 
Planck's constant, interference, Fermat's principle of least time, deBroglie wavelength 
3 
Double slit experiment with electrons and photons, wave particle duality, Heisenberg uncertainty 
4 
Wavefunctions and wavepackets, probability and probability amplitude, probability density 
5 
Thomson atom, Rutherford scattering 
6 
Photoelectric effect, Xrays, Compton scattering, Franck Hertz experiment 
7 
Bohr model, hydrogen spectral lines 
8 
Bohr correspondence principle, shortcomings of Bohr model, WilsonSommerfeld quantization rules 
9 
Schrödinger equation in one dimension, infinite 1D well 

Inclass exam 1 
10 
Eigenfunctions as basis, interpretation of expansion coefficients, measurement 
11 
Operators and expectation values, time evolution of eigenstates, classical limit, Ehrenfest's theorem 
12 
Eigenfunctions of p and x, Dirac delta function, Fourier transform 
13 
Wavefunctions and operators in position and momentum space, commutators and uncertainty 
14 
Motion of wavepackets, group velocity and stationary phase, 1D scattering off potential step 
15 
Boundary conditions, 1D problems: Finite square well, delta function potential 
16 
More 1D problems, tunneling 
17 
Harmonic oscillator: Series method 

Inclass exam 2 
18 
Harmonic oscillator: Operator method, Dirac notation 
19 
Schrödinger equation in 3D: Cartesian, spherical coordinates 
20 
Angular momentum, simultaneous eigenfunctions 
21 
Spherical harmonics 
22 
Hydrogen atom: Radial equation 
23 
Hydrogen atom: 3D eigenfunctions and spectrum 
24 
Entanglement, EinsteinPodolsky Rosen paradox 

Final exam 