André van Tonder

Publications

• Unitarity, Lorentz invariance and causality in Lee-Wick theories: An asymptotically safe completion of QED
  arXiv:0810.1928v1 [hep-th].
• Non-perturbative Quantization of Phantom and Ghost Theories: Relating Definite and Indefinite Representations
  with Miquel Dorca, Int. J. Mod. Phys. A, Vol. 22, Nos. 14 & 15 (2007) pp. 2563-2608.
• Worldsheet Covariant Path Integral Quantization of Strings
  International Journal of Modern Physics A, Vol. 21, No. 32 (2006) 6525-6574.
• Coordinate-invariant Path Integral Techniques in Conformal Field Theory
  International Journal of Modern Physics A, Vol. 21, No. 17 (2006) 3525-3563.
• Quantum Computation, Categorical Semantics and Linear Logic
  with Miquel Dorca, ArXiv.org e-print archive: arXiv:quant-ph/0312174 (2003).
• A Lambda Calculus for Quantum Computation
  Siam Journal on Computing 33 (5) pp. 1109-1135 (2004), also here .
• Cohomology and Decomposition of Tensor Product Representations of SL(2, R)
  Nuclear Physics B 677 (2003) 614-632.
• On the Representation Theory of Negative Spin
  Nuclear Physics B645 (2002) 387-402.
• Ghosts as Negative Spinors
  Nuclear Physics B645 (2002) 371-386.
• Finite q-Oscillator Representation of 2-D String Theory
  with A. Jevicki, Modern Physics Letters A11 (1996) 1397-409.
• Scattering States and Symmetries in the Matrix Model and Two-Dimensional String Theory
  with A. Jevicki and J. P. Rodrigues, Nuclear Physics B404 (1993) 91.
• Marinari-Parisi and Supersymmetric Collective Field Theory
  with J. P. Rodrigues, International Journal of Modern Physics A8 (1993) 2517-50.
• Superinvolutions on Super-Riemann Surfaces and the Supergeometry of Type-I Superstrings
  with W. de Beer and J. P. Rodrigues, Physics Letters B248 (1990) 67-72.
• Spin Structures for Riemann Surfaces with Boundaries and Crosscaps
  with J. P. Rodrigues, Physics Letters B217 (1989) 85-90.
• A Note on First Integrals and Lax representation
  with W.-H. Steeb, Quaestiones Mathematicae 11 (1988), no. 3, 301-305.
• Energy Level Crossings in Quantum Mechanics
  with S. J. M. Brits, W.-H. Steeb and C. M. Villet, Found. Phys. Lett. (USA) 1 (1988) 174-52.
• A comment on Lax Representations, First Integrals, Painleve Analysis and Nambu Mechanics
  with W.-H. Steeb, Physica Scripta 38 (1988) 782-4.
• A note on Lax Representations, First Integrals, Painleve Analysis and Nambu Mechanics
  Proceedings of the Workshop on Finite-Dimensional Integrable Nonlinear Dynamical Systems (Johannesburg, January 1988), P. Leach and W.-H. Steeb (eds), World Scientific, Singapore (1988).
• Thermodynamic Quantities and the Motion of Energy Levels
  with S. J. M, Brits, J. Louw and W.-H. Steeb, Helvetica Physica Acta 61 (1988) 979-87.
• Generalization of Energy Level Motion
  with W.-H. Steeb, J. Phys. Soc. Jpn. 57 (1988) 1930-3.
• Energy Level Motion and a Supersymmetric Hamiltonian
  with S. J. M. Brits and W.-H. Steeb, Journal of Physics A21 (1988) 2657-60.
• Stationary State Perturbation Theory in Quantum Mechanics and a Completely Integrable Dynamical System
  with W.-H. Steeb, South African Journal of Science 83 (1987) 477-479.
• Quantum Mechanics and a Completely Integrable Dynamical System
  with W.-H. Steeb, Z. Nat. forsch. 42A (1987) 819-24.

Theses

• A Continuum Description of Calogero and Super-Calogero Models
  Ph.D. Thesis, University of the Witwatersrand Preprint CNLS-92-01 (1992).
• Spin-1/2 fields on Orientable, Nonorientable and Open Riemann Surfaces
  M.S. Thesis, University of the Witwatersrand Preprint CNLS-89-06 (1989).

Computation

• Portable R6RS Macros and Libraries
• A Scheme Simulator for a Quantum Lambda Calculus
• Scheme Request for Implementation 45: Primitives for Expressing Iterative Lazy Algorithms
• Scheme Request for Implementation 72: Hygienic macros
• Running Stalin on Cygwin (notes)
• Functional Patterns