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 Foundations of Quantum Physics
Code PHYS104
Coordinator Dr AM Low
Physics
Andrew.Low@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2024-25 Level 4 FHEQ Second Semester 15

Aims

To introduce the concepts and the experimental foundations of quantum theory. To carry out simple calculations related to quantum mechanical problem tasks. To show the impact of quantum theory on contemporary science.


Learning Outcomes

(LO1) Understand the failures of classical physics and the evidence that supports a quantum mechanical view of nature.

(LO2) Solve basic problems relating to Planck’s radiation law, the photoelectric effect, Bohr’s model of the atom, and Compton scattering.

(LO3) Understand, describe, and discuss the features of wave-particle duality and Heisenberg’s uncertainty principle, and apply knowledge to solve simple problems.

(LO4) Develop an understanding of the role of the wave-function in quantum theory and apply knowledge to calculate probabilities in simple bound potentials.

(LO5) Solve the Schrodinger Equation for infinite square well potential and Coulomb potential in 1D and interpret the solutions.

(LO6) Predict the shift in energy and wavelength of radiation emitted from single-electron atoms placed within an external magnetic field.

(LO7) Describe, explain, and calculate the effect of electron screening on atomic energy levels.

(LO8) Apply Pauli’s Exclusion principle to understand the structure of the periodic table.

(LO9) Develop a basic understanding of lasers.

(S1) Problem solving skills relating to quantum phenomena.

(S2) Collaborative Learning.


Syllabus

 

• Photons and the need of a quantum theory of light.
• Black body radiation.
• Planck's quantum.
• Einstein's completion of Planck's quantum.
• Experimental evidence for energy-momentum conservation for light : Photo-electric effect, Compton effect.
• Davisson-Germer experiment
• Atoms : brief history.
• Atomic spectra.
• Thompson's pudding.
• Rutherford and the nucleus.
• Franck-Hertz experiment.
• Bohr's theory of the atom : successes and short comings.
• Hydrogen spectrum, Rydberg constant and principal quantum numbers.
• De Broglie waves and group velocity.
• Experimental evidence of de Broglie waves : scattering experiments of electrons, of X-rays, and of neutrons.
• Bohr's principle of complementarity.
• Statistical interpretation of de Broglie waves • Quantum mechanical measurements.
• Heisenberg's uncertainty principle.
• Simple atoms and nuclei.
• Periodic system of elements.
• Basic introduction to the Time Dependent Schrödinger Equation.
• Trial solutions and separation of variables.
• Reduction to the Time Independent Schrödinger Equation.
• One-dimensional Coulomb potential
• Angular Momenta
• Hydrogen atom and radial probability density
• The Zeeman Effect
• The Stern-Gerlach experiment and spin
• The Pauli Exclusion Principle and the Periodic Table
• Electron screening, X-rays, and Moseley's Law
• Basic principles of lasers


Teaching and Learning Strategies

Teaching Method 1 - Lectures
Description: Lectures delivered on campus.
Attendance Recorded: Yes

Teaching Method 2 - Tutorials
Description: Weekly workshops allowing peer interactions while working on problem sheets.
Attendance recorded: Yes


Teaching Schedule

  Lectures Seminars Tutorials Lab Practicals Fieldwork Placement Other TOTAL
Study Hours           24

24

48
Timetable (if known)              
Private Study 102
TOTAL HOURS 150

Assessment

EXAM Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Written exam, unseen, managed by SAS. There is a resit opportunity. Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule: Semester 2  2.5    80       
CONTINUOUS Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Five weekly problem sets Semester 2, Weeks 6-10    10       
Five weekly problem sets. Semester 2, Weeks 1-5    10       

Recommended Texts

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