204 citations · 218 across the 4 of their papers we have counts for
7 papers
A Lambda Calculus for Quantum Computation
Andre van Tonder
The classical lambda calculus may be regarded both as a programming language and as a formal algebraic system for reasoning about computation. It provides a computational model equ…
Cohomology and Decomposition of Tensor Product Representations of SL(2,R)
Andre van Tonder
We analyze the decomposition of tensor products between infinite dimensional (unitary) and finite-dimensional (non-unitary) representations of SL(2,R). Using classical results on i…
On the Representation Theory of Negative Spin
Andre van Tonder
We construct a class of negative spin irreducible representations of the su(2) Lie algebra. These representations are infinite-dimensional and have an indefinite inner product. We…
Ghosts as Negative Spinors
Andre van Tonder
We study the the properties of a BRST ghost degree of freedom complementary to a two-state spinor. We show that the ghost may be regarded as a unit carrier of negative entropy. We…
Finite [q-Oscillator] Description of 2-D String Theory
Antal Jevicki, Andre van Tonder
We present a simple physical representation for states of the two-dimensional string theory. In order to incorporate a fundamental cutoff of the order 1/g we use a picture consisti…
Scattering States and Symmetries in the Matrix Model and Two Dimensional String Theory
A. Jevicki, J. P. Rodrigues, A. J. van Tonder
We study the correspondence between the linear matrix model and the interacting nonlinear string theory. Starting from the simple matrix harmonic oscillator states, we derive in a…