# Mathematical
Fundamentals of Quantum Mechanics

# 2014-2015

### Who should take this
course?

This course is an alternative
to PHYS30101 (Applications of Quantum Mechanics); all students must
take one or the other.

There is considerable overlap
in material, but the approach in this course will be much more
mathematical, and as such it prepares students for future
courses in QM and quantum field theory, as well as other course in
which QM is used. MPhys students who wants to keep their options open
should consider taking this course.

In spite of the title, this is a Physics course with
relatively little new mathematics in it after the first three weeks,
but an ability to use mathematics confidently is expected. Students
who have taken some previous theory courses (advanced dynamics,
Lagrangian, complex variables) are more likely to be comfortable with
the style of the course. Students who failed to obtain good marks in
PHYS20101, PHYS20141 and PHYS2017 (or MT10212) are likely to struggle.

Anyone unsure whether to take this course should
start working though the notes of lectures 1-4.

### Textbooks and websites

Details here.

### Examples Classes

**This course will be covered in the
examples classes which cover third year core, series "A".
**

Examples classes will start
in week 3. They are not like 1st year workshops, they are more like
tutorials for which you do work in advance. It is very important that
students work at examples sheets in their own time, and aim to
complete the sheets as best they can before the classes. Working
together is encouraged!

### News

15/10/14: The list of known misprints has been updated (these have all be corrected in
the versions of documents available from links below.)

### Exam

Guidance on the format of the exam and on the relevance of questions from the pre-2013/4
exams for PHYS20602 and PHYS30201 is provided here.
These exams, along with bottom line answers and feedback are on
Teachweb, except for
the 2009 bottom-line answers for PHYS20602 which are here.

### Lecture Notes

At the start of term these are the notes from last year. Updating
will be done on a running basis.
Lectures
1-4

Lectures
5-6

Lectures
7-8

Lectures
9-10

Lectures
11-13

Lectures
14-15

Lectures
16-18

Lectures
18-20

Lecture
21

### Appendices

Useful
notes on hydrogen wave functions, delta functions, Gaussian
integrals and units in EM

### Examples

Examples 1:
covers the material of the first four lectures.

Solutions 1

Examples 2:
covers the material of lectures 5&6.

Solutions 2

Examples 3:
covers the material of lectures 7-10.

### Handouts