PHYS3621 Foundations of Physics 3A (2018/19)
Quantum Mechanics 3
14 lectures + 5 workshops in Michaelmas Term
Required: Introduction to Quantum Mechanics, B.H. Bransden and C.J. Joachain (Prentice Hall, 2nd Edition)
The course is defined by material contained in this book and in particular the material defined in the syllabus below where the numbers refer to the sections in the book.
Additional: Introduction to Quantum Mechanics, D. J. Griffiths (2nd edition, Pearson, 2005)
The course is partly defined by material contained in Chapter 6 of this book which has been placed on duo.
Additional: Physics of Atoms and Molecules, B. H. Bransden and C. J. Joachain (2nd edition, Prentice Hall, 2003)
The course is partly defined by material contained in Chapter 7 of this book which has been placed on duo.
Additional: Quantum Mechanics - An Experimentalist's Approach, E. D. Commins (Cambridge University Press, 2014)
- Introduction to many-particle systems (wave function for systems of several particles, identical particles, bosons and fermions, Slater determinant) [10.1,10.2]
- The variational method (ground state, excited states, trial functions with linear variational parameters) [8.3]
- The ground state of two-electron atoms [10.4]
- The excited states of two-electron atoms (singlet and triplet states, exchange splitting, exchange interaction written in terms of spin operators) [“Atoms and Molecules”, Ch. 7]
- Complex atoms (electronic shells, the central-field approximation) [10.5]
- Time-dependent perturbation theory [9.1]
- Fermi’s Golden Rule [9.2]
- Periodic perturbations [9.3]
- The Schrödinger equation for a charged particle in an EM field [11.1]
- The dipole approximation [11.1]
- Transition rates for harmonic perturbations [11.2]
- Absorption and stimulated emission [11.2]
- Einstein coefficients and spontaneous emission [11.3]
- Selection rules for electric dipole transitions [11.4]
- Lifetimes [11.5]
- The interaction of particles with a static magnetic field (spin and magnetic moment, particle of spin one-half in a uniform magnetic field, charged particles with uniform magnetic fields; Larmor frequency; Landau levels) [12.2]
- One-electron atoms in magnetic fields [12.3, Griffiths 6.4]
Nuclear and Particle Physics
Dr D. Maitre and Dr M. Bauer
29 lectures + 12 workshops in Michaelmas and Epiphany Terms
Required: Particles and Nuclei: An Introduction to the Physical Concepts, B. Povh, K Rith, C. Scholz and C Zetsche (Springer-Verlag, 6th Edition)
The course is defined by material contained in this book, in particular Chapters 1-17.
Syllabus: Fundamental Interactions, symmetries and conservation Laws, global properties of nuclei (nuclides, binding energies, semi-empirical mass formula, the liquid drop model, charge independence and isospin), nuclear stability and decay (beta-decay, alpha-decay, nuclear fission, decay of excited states), scattering (elastic and inelastic relativistic kinematics scattering, cross sections, Fermi's golden rule, Feynman diagrams), geometric shapes of nuclei (kinematics, Rutherford cross section, Mott cross section, nuclear form factors), elastic scattering off nucleons (nucleon form factors), deep inelastic scattering (nucleon excited states, structure functions, the parton model), quarks, gluons, and the strong interaction (quark structure of nucleons, quarks in hadrons), particle production in electron-positron collisions (lepton pair production, resonances), phenomenology of the weak interaction (weak interactions, families of quarks and leptons, parity violation), exchange bosons of the weak interaction (real W and Z bosons), the Standard Model, quarkonia (analogy with Hydrogen atom and positronium, Charmonium, quark-antiquark potential), hadrons made from light quarks (mesonic multiplets, baryonic multiplets, masses and decays), the nuclear force (nucleon-nucleon scattering, the deuteron, the nuclear force), the structure of nuclei (Fermi gas model, shell Model, predictions of the shell model).
2 or 3 lectures in Easter Term, including one by each lecturer.
Lectures: 2 or 3 one hour lectures per week
Workshops: These provide an opportunity to work through and digest the course material by attempting exercises assisted by direct interaction with the workshop leaders. They also provide opportunity for you to obtain further feedback on the self-assessed formative weekly problems. Students will be divided into four groups, each of which will attend one one-hour class every week. The workshops for this module are not compulsory.
Progress test: One compulsory formative progress test (to be completed over the Christmas break)
Problem exercises: See https://www.dur.ac.uk/physics/students/problems/