We will use the book Introductory Quantum Mechanics by Richard Liboff as the main reference for the course. It will also be useful to consult the text by R. Shankar.
One of the best textbooks on quantum mechanics ever written is Volume III of the series by Landau
and Lifshitz; but it is at a higher level than this course. Every serious
student of quantum mechanics must also read also the book Principles
of Quantum Mechanics by P.A.M. Dirac.
It is however not intended as a textbook.
I will lecture on Mondays from 3:25pm to 4:40 pm and on Wednesdays from 11:00 am to 12:15 pm in Room 315 of the Bausch and Lomb Building. The recitation sessions will be Wednesdays 3:25pm to 4:40pm in Hylan 201.
I will assign about three problems every other week. They should be put in the box in the first floor for grading by the TA. The THIRD set of problems have been posted:
Problems. I have also posted some additional problems in case you find these too easy Additional Probems
There will be a midterm and a final. The dates will be announced later.
The grade will be based on a numerical weight of 25% for the midterm, 40% for homeworks and 35% for final. You can get exempted from the examinations and get an automatic A if you write a term paper of sufficient quality: comparable in my judgment to a paper in a good journal. I will give suggestions of problems for the adventurous;but please let me know within the first month of the course if you wish to follow this route.
PRE-REQUISITESQuantum mechanics at the level of PHY237. Some knowledge of linear algebra: vectors, matrices, complex numbers, differential equations. Classical mechanics at the level of PHY235.
SYLLABUSFormalism of quantum theory with more advanced applications than PHY237. Includes postulates of Quantum Mechanics; function spaces; Hermitian operators, completeness of basis sets; super- position, compatible observables, conservation theorems, operations in abstract vector space, spin and angular momentum matrices; addition of angular momentum; perturbation theory, and simple scattering theory.
SUGGESTED READINGLearn from the master himself! Read this paper by Schrodinger on the derivation of the uncertainty principle.
The stability of matter is explained from the uncertainty principle and the exclusion principle in this article by Lieb.