PHYS30101: Lecture Summaries, Supplementary
Reading, References and Figures
Key
Points: These are
quite literally ONLY the KEY points!!!
THEY ARE CURRENTLY BETA VERSIONS. LET ME KNOW IF YOU SPOT ANY TYPOS!
Book references below are to:
Revision Material:
A.C. Phillips, Introduction to Quantum
Mechanics (Wiley)
NB: This is
revision material at the level of PHYS20101.
R. Eisberg and R. Resnick, Quantum Physics of Atoms, Molecules, Solids and
Particles (Wiley)
NB: This is
revision material for PHYS20252 and much more besides.
Hook, J.R. & Hall, H.E. Solid State
Physics, 2/e (Wiley)
NB: This is
revision material for PHYS20252 with quite a lot extra.
Recommended Texts:
A.I.M. Rae, Quantum Mechanics (5th
Edition, Taylor Francis)
F. Mandl, Quantum
Mechanics (Wiley)
David A.B. Miller, Quantum Mechanics for
Scientists and Engineers (Cambridge)
Stephen Gasiorowicz,
Quantum Physics (Wiley)
NB: Gasiorowicz uses cgs units: See
Wikipedia. There is a factor of c/10 between the cgs unit of charge and Coulombs and
the c appears explicitly in the formulae in this system of units. As
a result there will be a discrepancy of the odd factor of c between
formulae in this book and those in lectures where electromagnetism
is relevant.
Other Sources:
References
to scientific journal articles will only be accessible from a Manchester web
address or VPN.
You might
find the following books useful as alternatives to the above for some parts of
the course:
Richard Liboff,
Introductory Quantum Mechanics (Addison-Wesley)
Christopher Foot, Atomic Physics (Oxford)
Lecture 1: Introduction and Some Reminders
Rae:
Chapter 4, particularly Sections 4.1, 4.2, 4.3 and 4.6.
Phillips: Chapters 3, 4 and 7.
Mandl: Chapter 1.
Lecture 2: Quantum Tunnelling
Derivation of transmission
through a square barrier for E<V
Short Note
on Boundary Conditions
Rae:
Sections 2.1, 2.2 and 2.6.
Phillips: Chapters 5.2.
Mandl: Chapter 2.2.
Lecture 3: Real Barriers
Expectation
is that you understand WKB with the simple introduction in the lectures; these
are slightly more sophisticated approaches:
Gasiorowicz: 4.1, 4.2, 4.3, 4.4 and Web
Supplements 4A and 4B
Miller: Chapter 11.
Lecture 4: Multiple Barriers and Resonant
Tunnelling
A few notes on double barriers and resonant tunnelling
Short Note on
Unbound States, Time Energy-Uncertainty Relation and Quasi-bound states
Rae:
2.4 and 2.5
Mandl: 2.1
Lecture 5: Trapped Particles in Nanocubes
Rae:
Quantum Mechanics of 3-D Systems Chapter 3
Pictures: Collidal quantum dots,
Ag and Au Nanocubes,
Mediaeval NanoTech
Quantum
dots: Nature Editorial
Gold and
Silver Nanoparticles: Perspectives
article and Sun and
Xia, Science 298, 2176 (2002)
Lecture 6: Semi-Conductor Quantum Dots
Rae:
Quantum Mechanics of 3-D Systems Chapter 3
A reminder about effective mass.
Pictures: Semi-Conductor Quantum Dot.
Semi-Conductor
Quantum Dots:
Kouwenhoven et al., Science 278,
1788 (1997)
Lecture 7: Conductance of Semi-Conductor Quantum Dots
Quantum Mechanics of 3-D Systems Chapter 3
Pictures: Conduction in Semi-Conductor Quantum Dot
Conduction
in Semi-Conductor
Quantum Dots:
Kouwenhoven et al., Science 278,
1788 (1997)
Lecture 8: Orthogonality, Basis Sets
and Dirac Notation
Rae: 4.2 and 4.3, Gasiorowicz: 5.1 to 5.3, Mandl: 1.2 and
5.1.
Lecture 9: Perturbation Theory
Rae: 7.1, Gasiorowicz: 11.1, Mandl: 7.1, Miller 6.3
Lecture 10: Quantum Wires and Nanotubes
Pop-Science Article on Nanowires
Sha et al., Advanced Materials 14,
1219 (2002)
Wildoer et al., Nature 391, 59
(1998)
Odom et al., Nature 391, 62 (1998)
Lecture 11: Angular Momentum and
Ladder Operators
Key Points and Summary of Angular Momentum
Rae: Chapter 5, Gasiorowicz: Chapter 7, Mandl: 5.2
Lecture 12: Intrinsic Spin
Key Points and Summary of Spin-1/2
Rae: Chapter 5, Gasiorowicz: Chapter 7, Mandl: 5.2
Lecture 13: Magnetic Moments
Rae: 5.8 and 8.1, Gasiorowicz: 10.2,
Lecture 14:Adding Angular Momenta
Rae: 6.6, Gasiorowicz: 10.4 and 10.5, Mandl: 5.4 to 5.7,
Lecture
15: Two-State Systems
Mandl: 10.3, Miller:
14.1
Lecture
16: Manipulating Spins with Oscillating Fields
Gasiorowicz: 10.3
(beware of the different definition of B1), Mandl: 9.1-9.2 (a little
tougher to follow)
Lecture
17: Magnetic Fields in Atoms: Spin-Orbit Coupling
Rae 6.5, Mandl 6.1 and
7.4
Lecture
18: Atoms in Magnetic Fields in Atoms: Zeeman Effects
Rae 6.5 and Mandl 7.5
Lecture
19: Quantum Information and Entanglement
Entanglement and Info:
Miller 18.1, 18.3 and Rae Intro to Chapter 12, 12.2
Identical Particles:
Rae 10.4 and Mandl 4.4
Lecture
20: Quantum Key Distribution
Miller 18.2 and Rae
12.1
Lecture
21: Quantum Teleportation and Computing
Miller 18.4 and 18.5;
Rae 12.3 and 12.4
Popular article on Quantum Computing on
Page 2 of this newsletter
Lecture
22: Quantum Mechanics at Christmas
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