Important Note.
These are my personal lecture notes, that I prepared for my personal use as part of the preparations for teaching this module. I post them here for the sole purpose of assisting the students learning this subject. I make no claim of originality. I am basing a large part of the text on the books by Claude Cohen Tannoudji, Bernard Diu and Franck Laloe, on the book by B.H. Bransden and C.J. Joachain, and, to somewhat lesser extent, on several other textbooks. In preparing these notes, I was also using the lecture notes given to me by David Rea and Eoin O'Reilly.
Special thanks to Elad Pe'er, David Rea and Andreas Ruschhaupt for proof reading the notes and many useful comments.
(Note: my lecture notes are constantly being updated.)
The final exam is schedule for Friday, April 28th, 2017.
It will have the same format of previous years exams, namely you will be asked to solve 3 questions out of 4 options.
Naturally, the questions will represent the material studies in class, in the tutorials and in homework.
Following several questions I was asked, I would like to emphasis the following. In the exam you will be asked to show that you understand the material. You do need to show that you understand the basic concepts of QM, and able to use them in solving basic questions - say, similar to the examples given in class. This is not an exam in math; if there are non-trivial calculations (e.g., non-trivial integrals) needed, these will be provided. However, at this stage, you are certainly expected to have basic mathematical skills that enable you to compute integrals and derivatatives, as practiced in your homework.
As usual, your best indication about how well you are predicted to do in the exam is how well you do in homework - if you are able to solve the problems yourself, you need not worry. I do take into account the fact that in homework you have plenty of time, as well as full access to the library, to my notes, etc. I know you do not have these in the exam (and that you are likely stressed), and I adjust the level of questions accordingly.
The best tip I can give you is that I am looking for physical understanding, rather than for ability to memorize items or to solve complicated mathematical equations. Thus, you should have a clear idea of the meaning of the various terms and concepts discussed in class, such as wave functions, operators, ladder operators, observables, eigenstates, eigenvalues, etc., and their use in solving problems.
A few examples: There is no need to momorize long derivations (e.g., Ehrenfest's theorem), but there is a need to understand it and its implications. Another example, is that I don't expect you to memorize the derivations of Hermite polynomials or the exact definition of the ladder operators, but I do expect you to understand how, given a state of a system, the expectation values of various quantities can be calculated.