PHY3055 
Electromagnetism and Quantum Mechanics 
202021 

Dr D.R. Kattnig 


Delivery Weeks: 
T1:0111 

Level: 
6 (NQF) 

Credits: 
15 NICATS / 7.5 ECTS 

Enrolment: 
60 students (approx) 

Description
This module is taken by BSc students in stage 3. It develops students' knowledge of electromagnetism,
quantum mechanics and illustrates the aspects in common and relationships between the two areas.
It builds on the Stage 2 core modules PHY2021
(Electromagnetism I) and PHY2022 (Quantum Mechanics I).
The starting point is the Maxwell equations introduced in PHY2021, which
are manipulated to obtain the electromagnetic wave equation and the form of the
solutions.
The dielectric and magnetic properties of atoms and materials are
considered from both a classical and quantum perspective, with emphasis on
the frequency dependence of their real and imaginary components, and the
consequences for wave propagation. Wave propagation at interfaces between
dissimilar materials is considered, leading to derivation of Fresnel
reflection and transmission coefficients. Methods of guiding
electromagnetic waves of different frequency by transmission lines,
waveguides and optical fibers are discussed and this knowledge, along with
the theory of quantum transitions is used to understand maser and laser
operation.
This is a core module for BSc Physics programmes and is supported by BSc Stage 3 tutorials.
Module Aims
The module aims to develop students' understanding of quantum mechanics and Maxwell's equations
and their applications including some advanced topics, fomalism and applications to the point
where they will be able to engage with contemporary research literature. Students will gain
an indepth understanding number of interesting physical phenomena that are important in
a wide variety of areas and in many key technologies.
Intended Learning Outcomes (ILOs)
A student who has passed this module should be able to:

Module Specific Skills and Knowledge:
 describe the fundamental aspects of electromagnetism;
 explain and solve problems involving the magnetic and/or dielectric properties of materials;
 explain some aspects of the interaction of electromagnetic
radiation with matter;
 calculate the effect of such interactions using
appropriate vector mathematics;
 solve problems requiring application of Maxwell's equations to a
variety of situations as outlined in the syllabus below;
 formulate, and evaluate, the solutions to a variety of perturbed
and multielectron quantum mechanical systems;
 calculate energy shifts, transition probabilities
(and rates) and crosssections;

Discipline Specific Skills and Knowledge:
 use vector analysis to solve problems in science and engineering;
 use matrix concepts to solve QM problems;
 use mathematics to solve problems;
 present and defend their solutions to problems to their tutorial group;

Personal and Key Transferable / Employment Skills and Knowledge:
 develop and present a coherent solution to a problem;
 selfevaluate, check and correct solutions to problems;
 undertake cooperative learning by discussing the contents of the module
amongst themselves;
 make informal presentations of technical material;
 work independently in order to meet deadlines.
Syllabus Plan

ELECTROMAGNETISM
 Maxwell's Equations and Electromagnetic Waves
 Maxwell's equations for the electromagnetic field and constitutive equations
 The equation of continuity
 Electromagnetic plane waves in an insulating isotropic medium
 Polarization, momentum and energy, the Poynting vector
 Scalar and vector potentials
 Gauge invariance, the Coulomb and Lorentz gauges
 Electromagnetic materials
 Classical description of atomic polarisability, dispersion
 Metals and the skin effect
 Diamagnetism, paramagnetism and ferromagnetics: general concepts
 Langevin (classical) theory of paramagnetism and electron paramagnetism

M–B loops
 Electromagnetic waves at boundaries and guiding waves
 Examples of metallic waveguides: cylindrical, rectangular
 Coaxial cables and distributed impedance: the Telegrapher's equations
 Fresnel's equations and their optical consequences

QUANTUM MECHANICS
 Heisenberg's Approach to Quantum Mechanics
 Matrix elements for a quantum harmonic oscillator
 Electron spin and Pauli matrices
 FewParticle Systems
 Bose and Fermi particles, the Pauli principle
 Twoelectron system: spin addition and exchange interaction
 Structure of ManyElectron Atoms
 Electron shells
 Hund's rules,
 The role of spinorbit interaction
 LS coupling scheme.
 Zeeman effect in manyelectron atoms
 Quantum Transitions
 Perturbation theory
 Fermi's golden rule formula
 Rate of spontaneous emission
 The ruby laser
Learning and Teaching
Learning Activities and Teaching Methods
Description 
Study time 
KIS type 
20×1hour lectures 
20 hours

SLT 
2×1hour problems/revision classes 
2 hours

SLT 
3×1hour tutorials

3 hours

SLT 
5×6hour selfstudy packages 
30 hours

GIS 
4×4hour problem sets 
16 hours

GIS 
Reading, private study and revision 
79 hours

GIS 
Assessment
Weight 
Form 
Size 
When 
ILOS assessed 
Feedback 
0% 
Guided selfstudy 
5×6hour packages 
Fortnightly 
110 
Discussion in tutorials

0% 
4 × Problems sets 
4 hours per set 
Fortnightly 
110 
Solutions discussed in problems classes. 
100% 
Final Examination 
2 hours 30 minutes 
January 
110 
Mark via MyExeter, collective feedback via ELE and solutions. 
Resources
The following list is offered as an indication of the type & level of information that
students are expected to consult. Further guidance will be provided by the Module Instructor(s).
Core text:
Supplementary texts:

Eisberg R.M. and Resnick R. (1974), Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles, Wiley, ISBN 0471234648 (UL: 530.12 EIS)

Kittel C. (2005), Introduction to Solid State Physics (8^{th} edition), Wiley, ISBN 9780471415268 (UL: 530.41 KIT)

McMurry S.M. (1994), Quantum Mechanics, Addison Wesley, ISBN 0201544393 (UL: 530.12 MCM)

Open University Science Foundation Course Team (1988), Quantum Mechanics: An introduction, Open University (UL: 500 OPE/X)

Open University SM355 Course Team (1986), Quantum Mechanics: Units 1214, Open University (UL: 530.12 OPE/X)

Open University SM355 Course Team (1986), Quantum Mechanics: Units 1516, Open University (UL: 530.12 OPE/X)

Park D. (1974), Introduction to the Quantum Theory (2^{nd} edition), McGrawHill (UL: 530.12 PAR)

Pauling L. and Wilson E.B. (1935), Introduction to Quantum Mechanics, McGrawHill (UL: 530.12 PAU)

Reitz J.R., Milford F.J. and Christy R.W. (1993), Foundations of Electromagnetic Theory (4^{th} edition), AddisonWesley, ISBN 0201526247 (UL: 530.141 REI)
ELE:
Further Information
Prior Knowledge Requirements
Prerequisite Modules 
Electromagnetism I (PHY2021) and Quantum Mechanics I (PHY2022) 
Corequisite Modules 
none 
Reassessment
Reassessment is not available except when required by referral or deferral.
Original form of assessment 
Form of reassessment 
ILOs reassessed 
Time scale for reassessment 
Whole module 
Written examination (100%) 
110 
August/September assessment period 
Notes: See Physics Assessment Conventions.
KIS Data Summary
Learning activities and teaching methods 
SLT  scheduled learning & teaching activities 
25 hrs 
GIS  guided independent study 
125 hrs 
PLS  placement/study abroad 
0 hrs 
Total 
150 hrs 


Summative assessment 
Coursework 
0% 
Written exams 
100% 
Practical exams 
0% 
Total 
100% 

Miscellaneous
IoP Accreditation Checklist 
 EM04 Maxwell's equations and plane electromagnetic wave solution; Poynting vector
 EM06 Polarisation of waves and behaviour at plane interfaces
 QM05 Wave function and its interpretation
 QM06 Standard solutions and quantum numbers to the level of the hydrogen atom
 QM09 Quantum structure and spectra of simple atoms
 QM12 Pauli exclusion principle, fermions and bosons and elementary particles
 SS07 Magnetic properties of matter

Availability 
BSc only 
Distance learning 
NO 
Keywords 
Physics; Maxwell's equations; Electromagnetic fields; Radiation; Properties of matter; Waves;
Dirac notation; Energy; Eigenvalues; Eigenstates; Atomic structure; Observables; Particles;
Perturbation theory; Quantum mechanics; Schrödinger equation; Time. 
Created 
15Jun19 
Revised 
03Aug20 