Summary
I am now retired, but have an honorary position as a Distinguished Research Fellow in the theoretical physics group .
When still lecturing I taught the MSc courses Lorentz and Poincaré Groups, and sections on Lattice Gauge Theory and Anomalies and the Renormalization Group within the Advanced Field Theory Course. All of these have fully-typed up notes.
I have written a book on group theory entitled Groups, Representations and Physics, published by IOP (now Taylor and Francis). The following image is the cover picture, illustrating the relation between the groups SU(2) and SO(3). The second edition was published in 1998 and contains an additional chapter on the Cartan-Weyl-Dynkin approach to general Lie algebras.
My research is on non-perturbative methods in quantum field theory, and the properties of non-Hermitian, but PT-symmetric, Hamiltonians in quantum mechanics and quantum field theory. The ideas developed there have recently found very important applications in classical optics.
Publications
Journals
Bender CM, Gianfreda M, Hassanpour N, et al., 2016, Comment on "On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator" [J. Math. Phys. 48, 032701 (2007)], Journal of Mathematical Physics, Vol:57, ISSN:0022-2488
Jones HF, Kulishov M, 2016, Extension of analytic results for a PT-symmetric structure, Journal of Optics, Vol:18, ISSN:2040-8978
Jones HF, Kulishov M, Kress B, 2016, Parity time-symmetric vertical cavities: intrinsically single-mode regime in longitudinal direction, Optics Express, Vol:24, ISSN:1094-4087, Pages:17125-17137
Jones HF, 2015, Singular Mapping for a PT-Symmetric Sinusoidal Optical Lattice at the Symmetry-Breaking Threshold, International Journal of Theoretical Physics, Vol:54, ISSN:0020-7748, Pages:3986-3990
Kulishov M, Jones HF, Kress B, 2015, Analysis of PT-symmetric volume gratings beyond the paraxial approximation, Optics Express, Vol:23, ISSN:1094-4087, Pages:9347-9362