University of Cambridge
Theoretical High Energy Particle Physics Group

Dr Alan J Macfarlane

[From the portrait by Tom Wise at St. John's College]

The picture above is from the portrait (August 2001) by Tom Wise at St. John's College

Reader in Mathematical Physics

Fellow of St. John's College

Research interests to 2005
Symmetries, Supersymmetry
Integrable Systems, Gaudin models, coset space models
Tensorial structures of classical Lie algebras, antisymmetric tensors, Casimir operators and related indices.
Exceptional Lie algebras: unified treatment of irreps in n-fold products of the adjoint representation, and of associated tensors

Research interests 2008-12
Compound matrices, additive compound matrices and generalisations thereof
Sequences of discrete variables used in the algebraic study of Jacobi (tridiagonal) matrices
Generating functions of such sequences for the classical orthogonal polynomials, including the Jacobi polynomials
Use of such sequences to paramertrise the elements of the matrices of the QR algorithm

The paper MorleyTricorn.ps is in user/ajm/Papers2009

Papers 2009

There are (as of May 2012) three new papers in user/ajm/Papers2012

Papers 2012

Paper A has title: Sequences of discrete variables related to Jacobi matrices

Paper B has title: Using sequences of discrete variables to parametrise all the elements of all the matrices of the QR and QD algorithms

Paper C has title: On the compound matrices and symmetric matrix functions of a given symmetric matrix

Recent Publications

Address :
DAMTP,
Centre for Mathematical Sciences,
Wilberforce Road,
Cambridge CB3 0WA

E-mail: A.J.Macfarlane@damtp.cam.ac.uk
Telephone : +44 1223 3 37874
Fax : +44 1223 7 66883

The complete set of lecture notes for O5 Electromagnetism (2002) are in user/ajm/notes.

electromagnetism O5 (.ps)

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