Module Details

The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title Quantum and Atomic Physics II
Code PHYS361
Coordinator Professor B Cheal
Physics
Bradley.Cheal@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2021-22 Level 6 FHEQ First Semester 15

Aims

To build on the second year module on Quantum and Atomic Physics.
To develop the formalism of quantum mechanics.
To develop an understanding that atoms are quantum systems.
To enable the student to follow elementary quantum mechanical arguments in the literature


Learning Outcomes

(LO1) Understanding of the role of wavefunctions, operators, eigenvalue equations, symmetries, compatibility/non-compatibility of observables and perturbation theory in quantum mechanical theory.

(LO2) An ability to solve straightforward problems - different bound states and perturbing interactions.

(LO3) Developed knowledge and understanding of the quantum mechanical description of atoms - single particle levels, coupled angular momentum, fine structure, transition selection rules.

(LO4) Developed a working knowledge of interactions, electron configurations and coupling in atoms.

(S1) Problem solving skills

(S2) Analytic skills applied to quantum systems


Syllabus

 

Quantum Mechanics:
Operators, observables, eigenfunctions and eignvalues.
Dirac and wavefunction representations.
Probability distributions.
Time evolution of wavefunctions.
Many-particle systems.
Bound states.
Simple harmonic motion.
Angular momentum.
Central potential.
Free particles.
Compatible and incompatible observables.
Heisenberg's uncertainty principle.
Symmetries - inversion, translation, rotation, exchange.
Generalisation to J, ladder operators.
Spin.
Addition of angular momentum.
Perturbation theory.

Atomic Physics:
Hydrogen atom.
Fine structure.
Helium atom.
Radiative transitions, selection rules.
Multi-electron atoms, periodic classification, Hund's rules.
Atoms in a magnetic field


Teaching and Learning Strategies

Teaching Method 1 - Lectures delivered online
Description: Lecture to the cohort on all course topics incorporating active learning sessions

Teaching Method 2 - Workshops
Description: 4x 2h workshops. In each workshop, students complete a problem sheet, supported by staff and peers.


Teaching Schedule

  Lectures Seminars Tutorials Lab Practicals Fieldwork Placement Other TOTAL
Study Hours           36

8

44
Timetable (if known)              
Private Study 106
TOTAL HOURS 150

Assessment

EXAM Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Exam Open book, completed online Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule :1  2 hours    60       
CONTINUOUS Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
open book coursework - submitted online problem sheet Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule: Semester 1  2 hours    20       
open book coursework - submitted online problem sheet Problem sheet. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule: Semester 1  2 hours    20       

Recommended Texts

Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.