A
A.J. Macfarlane
Researcher at University of Cambridge
Publications - 66
Citations - 2616
A.J. Macfarlane is an academic researcher from University of Cambridge. The author has contributed to research in topics: Supersymmetry & Lie algebra. The author has an hindex of 19, co-authored 66 publications receiving 2560 citations.
Papers
More filters
Journal ArticleDOI
On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
TL;DR: The quantum group SU(2)q is discussed in this paper by a method analogous to that used by Schwinger to develop the quantum theory of angular momentum such theory of the q-analogue of the quantum harmonic oscillator, as is required for this purpose.
Journal ArticleDOI
Invariant tensors for simple groups
TL;DR: In this paper, a new family of symmetric invariant tensors is introduced using the non-trivial cocycles for the Lie algebra cohomology, and relations involving the d and f su(n) tensors are given.
Journal ArticleDOI
Generalised harmonic oscillator systems and their Fock space description
TL;DR: In this paper, a generalisation of the quantum harmonic oscillator, which involves a deformation parameter q and a modification parameter ν, and its Fock space Fq,ν, is described.
Journal ArticleDOI
Group theoretical foundations of fractional supersymmetry
TL;DR: In this article, it is shown that the two generalized derivatives that enter the theory have a geometric interpretation as generators of left and right transformations of the fractional supersymmetry group.
Journal ArticleDOI
New supersymmetry of the monopole
TL;DR: In this paper, the geometrical origin of this supersymmetry is traced, and its relationship with the constrained dynamics of a spinning particle on a sphere centered at the monopole is described.