MP363 - Quantum Mechanics I

Autumn of 2019   [semester 1 of 2019-20]

Lecturer:   Masud Haque   (

Problem sets

Problem set 11.   Was due on monday, December 16th.

Problem set 10.   Was due on monday, December 9th.

Problem set 09.   Was due on monday, December 2nd.

Problem set 08.   Was due on monday, November 25th.

Problem set 07.   Was due on monday, November 18th.

Problem set 06.   Was due on monday, November 11th.

Problem set 05.   Was due on monday after Study Break, November 4th.

Problem set 04.   Was due on monday, October 21st.

Problem set 03.   Was due on monday, October 14th.

Problem set 02.   Was due on monday, October 7th.

Problem set 01.   Was due on tuesday, October 1st.

Problem bank

Here is a large collection of problems, which I call `problem set 12'.

Might be good for sharpening your understanding and preparing for exams.

Previous Exams

Here are solutions to repeat exam for 2018-2019 (August 2019 exam).

Here are solutions to the January 2019 finals.

Here are solutions to repeat exam for 2017-2018 (August 2018 exam).

Here are solutions to the January 2018 finals.

Here are solutions to repeat exam for 2016-2017 (August 2017 exam).

Here are solutions to the January 2017 finals.

Handouts: some notes/comments

The formal definition of hermitian conjugates.

Averaging continuous vs discrete variables.

A listing of the basic rules (`postulates') of quantum mechanics.

A discussion of one way to think of wavefunctions as vectors.

Textbooks and other Sources

Quantum mechanics is counter-intuitive. There will be confusing aspects; you will need to invest time and effort to clear up these confusions.

Do not expect to get comfortable with QM unless you do a fair amount of reading and problem-solving.

It is strongly recommended that you work through one or more texts. Working through Prof. Nash's lecture notes is an absolute minimum. It would be a very good idea to read a couple of sections every week.
Additional texts are listed below, and there are links to lecture notes etc. There are many textbooks on introductory quantum mechanics (e.g., carried by the Maynooth library, physically and as e-books). Textbooks have differences in ordering and notation, but you should benefit by reading any text.

Please let me know if any of the links below are broken.

Overviews of Introductory Quantum Mechanics:

Dirac notation (bra-ket notation) and properties of bra's and ket's:

Please get comfortable with this mathematical formulation. Chapter 2 of Nash notes introduces most of the notation. Here are some more references:

Spin-1/2 systems:

This topic is not covered in Nash's notes. We will use the spin-1/2 system for many examples; so it is important that you get familiar through other sources. Some links below.

Postulates of Quantum Mechanics:

Not covered in Nash's notes. The numbering of postulates varies (is not standardized), but each treatment covers very similar statements.

The Dirac delta function:

Sources for other topics:


There are many textbooks available on introductory quantum mechanics. I list some sources below.
(I omit publisher and year of publication: the author and title should be enough to identify each textbook.)

Notes on Exam

The exams are TWO HOURS long.

The exam will NOT have a choice of M questions out of N, as was common a few years ago.
You will be asked to answer ALL questions.

Assignment marks (`continuous assessment') will be counted toward the final module mark only if they are to the students' advantage.
(The policy is module-dependent and varies within the Theoretical Physics department. In some modules, continuous assessment is `compulsory'.)

Lectures and Tutorials

Lecture schedule:   (1) Wednesdays 09:05, Hall D (Arts Block).   (2) Fridays 12:05, Hall D (Arts Block).

Tutorial:   Tuesdays 17:05   Hall B (Arts Block).

Tutor: Domenico Pellegrino   (