36 citations · 112 across the 18 of their papers we have counts for
18 papers
Adventures in Invariant Theory
P. D. Jarvis, J. G. Sumner
We provide an introduction to enumerating and constructing invariants of group representations via character methods. The problem is contextualised via two case studies arising fro…
Projective Representations of the Inhomogeneous Hamilton Group: Noninertial Symmetry in Quantum Mechanics
S. G. Low, P. D. Jarvis, R. Campoamor-Stursberg
Symmetries in quantum mechanics are realized by the projective representations of the Lie group as physical states are defined only up to a phase. A cornerstone theorem shows that…
Lie Markov Models
Jeremy Sumner, Jesus Fernandez-Sanchez, Peter Jarvis
Recent work has discussed the importance of multiplicative closure for the Markov models used in phylogenetics. For continuous-time Markov chains, a sufficient condition for multip…
Extended two-level quantum dissipative system from bosonization of the elliptic spin-1/2 Kondo model
Sol H. Jacobsen, P. D. Jarvis
We study the elliptic spin-1/2 Kondo model (spin-1/2 fermions in one dimension with fully anisotropic contact interactions with a magnetic impurity) in the light of mappings to bos…
A kinematical approach to gravitational lensing using new formulae for refractive index and acceleration
S. J. Walters, L. K. Forbes, P. D. Jarvis
This paper uses the Schwarzschild metric to derive an effective refractive index and acceleration vector that account for relativistic deflection of light rays, in an otherwise cla…
Exactly solvable three-level quantum dissipative systems via bosonisation of fermion gas-impurity models
Sol H. Jacobsen, P. D. Jarvis
We study the relationship between one-dimensional fermion gas-impurity models and quantum dissipative systems, via the method of constructive bosonisation and unitary transformatio…