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Prof David Fairlie, BSc, PhD
Emeritus Professor in the Department of Mathematical Sciences
Member of the Centre for Particle Theory
Research Groups
Department of Mathematical Sciences
Research Interests
- Integrable systems
- Strings
Selected Publications
Journal papers: academic
- Fairlie, David B. & Zachos, Cosmas K. (2006). An atavistic Lie algebra. Physics Letters B 637(1-2): 123-127.
- Fairlie, David B., Twarock, Reidun & Zachos, Cosmas K. (2006). Lie algebras associated with one-dimensional aperiodic point sets. Journal of Physics A 39(2): 1367-1374.
- Fairlie, David B. & Nuyts, Jean (2005). Fock space representations for non-Hermitian Hamiltonians. J. Phys A38: 3611-3624.
- Curtright, Thomas & Fairlie, David (2003). Extra dimensions and nonlinear equations. Journal of Mathematical Physics 44(6): 2692-2703.
- Curtright, Thomas & Fairlie, David (2003). Morphing quantum mechanics and fluid dynamics. J. Phys A36: 8885-8902.
- D.B. Fairlie & T. Ueno (2001). Covariant formulation of field theories associated with p-branes.
- L.M. Baker & D.B. Fairlie (2001). Hamilton-Jacobi equations and Brane associated Lagrangians.
- Fairlie.D.B & Ueno T (2001). Multi-Field Generalisations of the Klein Gordon Theory associated with p-Branes.
- D.B. Fairlie & A.N. Leznov (2001). The Complex Bateman equation in a space of arbitrary dimensions.
- L.M. Baker & D.B. Fairlie (2000). Companion Equations for Branes.
- Fairlie & Veselov (2000). Faulhaber and Bernoulli polynomials and solitons.
- D.B. Fairlie (2000). Lagrange Brackets and $U(1)$ Fields.
- D.B. Fairlie & A.N. Leznov (2000). The General Solution of the Complex Monge-Amp`ere Equation in a space of arbitrary dimension.
- D.B. Fairlie (1999). Dirac-Born-Infeld Equations.
- D.B. Fairlie (1999). Moyal Brackets, Star Products and the Generalised Wigner Function.
- L.M. Baker & D.B. Fairlie (1999). Moyal Nahm Equations.
- D.B. Fairlie & A.N. Leznov (1999). The Complex Bateman Equation.
- Fairlie D, T. Curtright & C.K. Zachos (1998). Features of Time-independent Wigner Functions. Physics Review D 58 025002
- D.B. Fairlie & T. Ueno (1998). Higher dimensional Generalisations of the Euler Top equations.
- D.B. Fairlie & T. Ueno (1998). Integrable Top Equations associated with Projective Geometry over $Z_2$.
- Fairlie D (1998). Moyal Brackets in M-Theory. Modern Physics Letters A 13 263-274
- Fairlie, D.B. (1998). Moyal brackets in M-theory.
- D.B. Fairlie & R. Zhdanov (1997). A model for Classical Space-time co-ordinates.
- T. Curtright, D.B. Fairlie & C.K. Zachos (1997). Features of the Time-independent Wigner Functions.
- D.B. Fairlie (1997). Formal Solutions of an Evolution Equation of Riemann type.
- T. Curtright, D.B. Fairlie & C.K. Zachos (1997). Integrable Symplectic Trilinear Interactions for Matrix Membranes.
- D.B. Fairlie (1997). Moyal Brackets in M-Theory.
- D.B. Fairlie & T.Y. Wu (1997). The reversed $q$-exponential Functional Relation.
- Fairlie, D.B. & Leznov, A.N. (1996). Infinite Series Solutions of the Symmetry Equation for the 1+2 Dimensional Continuous Toda Chain.
- D.B. Fairlie & I.A.B. Strachan (1996). The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies.
- Fairlie, D.B. & Strachan, I.A.B. (1996). The Hamiltonian Structure of the Dispersionless Toda Hierarchy.
- D.B. Fairlie & J. Nuyts (1996). Two-index generalisations of Superconformal Algebras.
- Fairlie, D.B. & Nuyts, J. (1995). A Fresh Look at the Generalised Veneziano Amplitude.
- Fairlie, D.B. & Leznov, A.N. (1995). General solutions of the Monge-Ampère equation in n-dimensional space.
- Fairlie, D.B. (1995). Integrable Systems in Higher Dimensions, Quantum Field Theory.
- Fairlie, D.B. & Leznov, A.N. (1995). The Integrable Mapping as the Discrete Group of Inner Symmetry of Integrable Systems.
Media Contacts
Available for media contact about:
- Atomic particles: Basic matter: theoretical physics
- Atomic particles: Basic matter: mathematical physics
- Particle theory: mathematical physics
- Particle theory: theoretical physics