Lecturer: Masud Haque (haque@thphys.nuim.ie)
Lectures and Tutorials
Lecture schedule: (1) Wednesdays 09:05, JHL7. (2) Fridays 12:05, Hall D (Arts Block).
Tutor: Aonghus Hunter-McCabe
Problem sets
Problem set 11.
Was due on Friday, December 18th.
Some hints/remarks/solutions for Problem set 11.
Problem set 10.
Was due on Friday, December 11th.
Some hints/remarks/solutions for Problem set 10.
Problem set 09.
Was due on Friday, December 4th.
Some hints/remarks/solutions for Problem set 09.
Problem set 08.
Was due on Friday, November 27th.
Some hints/remarks/solutions for Problem set 08.
Problem set 07.
Was due on Friday, November 20th.
Some hints/remarks/solutions for Problem set 07.
Problem set 06.
Was due on Friday, November 13th.
Some hints/remarks/solutions for Problem set 06.
Problem set 05.
Was due on Friday, November 6th.
Some hints/remarks/solutions for Problem set 05.
Problem set 04.
Was due on Friday, October 23rd.
Some hints/remarks/solutions for Problem set 04.
Problem set 03. Was due on Friday, October 16th.
Problem set 02. Was due on Friday, October 9th.
Problem set 01. Was due on Friday, October 2nd, at the end of the first week of semester.
Problem bank
Here is a large collection of problems, which I call `problem set 12'.
You would probably benefit from working on some of these problems.
Handouts: some notes/comments
A listing of the basic rules (`postulates') of quantum mechanics.
The formal definition of hermitian conjugates.
Averaging continuous vs discrete variables.
A discussion of one way to think of wavefunctions as vectors.
Probability densities versus probability amplitudes versus just probabilities.
Measurement of a spin-1/2 object.
Scanned lecture notes
Scanned lecture notes, part A.
Scanned lecture notes, part B.
Scanned lecture notes, part C.
Scanned lecture notes, part D.
Scattering off a negative potential step.
Scanned lecture notes, part E.
Scanned lecture notes, part F.
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:
You are expected to be able to calculate properties of the bound state and also calculate transmission and reflection coefficients for scattering states.
Sources for other topics:
Textbooks:
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'.)
Previous Exams
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.
Continuous Assessment
Assignments (solutions to problem sets) are to be uploaded
electronically via the moodle page. Hopefully, you are used to this
procedure from the last part of the Spring 2020 semester.
(The drawer system for submitting assignments
has been suspended due to the pandemic.)
We may not be marking all the assignments. This means, some assignments will go un-marked, but we will not announce beforehand which. Also, for those assignments which are marked, we might mark either the complete assignment, or some fraction selected randomly.
The primary purpose of the problem sets is really that they should help you learn quantum mechanics at an optimal rate. It will be assumed that you are attempting every problem set including the problems marked [SELF]. If you are comfortable doing all the problems including [SELF]'s during the week and then want to tackle additional problems, please let me know with a brief email and I will send you some further optional problems to work on.