Module manager: Prof. Jiannis Pachos
Email: J.K.Pachos@leeds.ac.uk
Taught: Semester 1 Sep to 31 Jan (adv yr) View Timetable
Year running 2023/24
Level 2 Physics or equivalent
PHYS 3381 Advanced Quantum Mechanics
This module is not approved as an Elective
At the end of this module students should be able to:
- define the rules of quantum mechanics;
- solve Schrodinger's equation when separable in Cartesian coordinates for a variety of situations including that of an electron in a magnetic field;
- derive the results of lowest order time independent and time dependent perturbation theory and apply the results to simple physical situations;
- describe the principles of the variational method and apply the method to simple physical problems;
- describe and derive the methods of matrix mechanics and of Dirac formalism;
- discuss the description of electron spin in terms of Pauli spin matrices and solve simple associated problems.
The ability to use quantum mechanics in different scientific disciplines (chemistry, biology, etc.) and apply the same mathematics in other fields.
Revision of the basic postulates of quantum mechanics. The solution of Schroedinger's equation when separated using Cartesian coordinates combining the confinement of electrons in infinite wells with period boundary conditions. Introduction of creation and annihilation operators to solve the harmonic oscillator. This leads to a description of Landau levels for charged particles in a magnetic field. Description of the Integer Quantum Hall effect. The variational method for solving difficult problems with various worked examples. Time dependent and time independent perturbation theory. Matrix mechanics leading to the description of spin states, the Pauli spin matrices and the Dirac formalism.
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Lecture | Delivery type 22 | Number 1 | Length hours 22 |
| Private study hours | Delivery type 128 | ||
| Total Contact hours | Delivery type 22 | ||
| Total hours (100hr per 10 credits) | Delivery type 150 | ||
3 sets of marked homework: 30 hours;
Revision and reading: 98 hours.
3 assignments.
| Assessment type | Notes | % of formal assessment |
|---|---|---|
| Assessment type In-course Assessment | Notes Mid-Term Assessment | % of formal assessment 30 |
| Total percentage (Assessment Coursework) | Assessment type 30 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
| Exam type | Exam duration | % of formal assessment |
|---|---|---|
| Exam type Online Time-Limited assessment | Exam duration 48.0 Hrs 0 Mins | % of formal assessment 70 |
| Total percentage (Assessment Exams) | Exam type 70 | |
Students will have to complete an online assessment at the end of the module. This will take place during the examinations period at the end of the semester and will be time bound. The assessment will not take 48 hours to complete, but students will have a 48 hour time period in which to complete it. Students must submit a reasonable attempt at all assessments for this module to pass this module.
The reading list is available from the Library website
Last updated: 05/02/2021
Errors, omissions, failed links etc should be notified to the Catalogue Team