Quantum Mechanics I (PHYS*3230)
Code and section: PHYS*3230*01
Term: Fall 2017
Instructor: Michael Massa
This course consists of a formal treatment of quantum mechanics. Topics include wave packets and free particle motion, the Schrodinger equation, harmonic oscillator, piecewise constant potentials, central forces and angular momentum, and the hydrogen atom.
Credit Weight: 0.50
Prerequisites: (CHEM*2070 or PHYS*2260), MATH 2160, (MATH*2170 or MATH*2270), (PHYS*2340 or PHYS*2470)
This course is intended to provide you with a basic understanding of the similarities and differences in the behavior of particles in the large (classical mechanics) and small (quantum mechanics) limit. Thus, on one hand you are expected to learn the fundamental postulates of quantum mechanics and some of the more elementary mathematical techniques of quantum mechanics and to appreciate the very peculiar predictions and observations on the small. On the other hand you are also expected to understand the many similarities in the behavior of quantum particles with the macroscopic particles of common everyday experience.
Class Schedule and Location
|Monday, Wednesday and Friday||12:30 pm to 1:20 pm||MINS Room 103|
|Tuesdays||7:00pm to 7:50pm||MINS Room 103|
|Michael Massa||MacN firstname.lastname@example.org|
TBA, and will be arranged at the first lecture.
|Karl Davidson||MacN 403||Kdavid06@uoguelph.ca|
The course website can be found by logging into Courselink.uoguelph.ca
- Introduction to Quantum Mechanics, by D.J. Griffiths (Cambridge Press, 2nd edition, 2016)
- Essential Mathematical Methods for Physicists, by H.J. Weber and G.B. Arfkin (Elsevier Academic Press, 2004)
- Review of mathematical tools required for the course. Wave function, Schrodinger equation. Statistical interpretation of the wave function.
- One-dimensional quantum mechanics: Free particle and a wave packet; finite and infinite potential wells; bound states and quantization; scattering states; potential barrier tunneling; reflection and transmission; delta-potential.
- Mathematical formalism of Quantum Mechanics; observables and Hermitian operators; eigenvalue-eigenfunction problem; operators of position and momentum and the uncertainty principle; momentum representation; Dirac notation.
- One-dimensional quantum mechanics, additional topics, which may include Kronig-Penney potential and energy band structure of solids; the harmonic oscillator, ladder operators, coherent states.
- Three-dimensional quantum mechanics: Coulomb potential and hydrogen atom; angular momentum. If time permits: Symmetries and Conservation Laws in Quantum Mechanics; Spin; identical particles; exchange interactions.
|Assignments||30%||TBA: Late submissions will be accepted within one day, with a 20% late penalty.|
|Midterm 1||10%||Friday Oct. 13, 12:30-1:20 (in class)|
|Midterm 2||20%||Tuesday Nov. 7, evening (2 hrs, location TBA)|
|Final Exam||40%||Wednesday Dec. 13, 2:30pm-4:30pm (location TBA)|
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