33 citations · 57 across the 7 of their papers we have counts for
4 papers · 1 filter
Coin Tossing as a Billiard Problem
N. L. Balazs, Rupak Chatterjee, A. D. Jackson
We demonstrate that the free motion of any two-dimensional rigid body colliding elastically with two parallel, flat walls is equivalent to a billiard system. Using this equivalence…
On the Quantum Cat and Sawtooth Maps- Return to Generic Behaviour
A. Lakshminarayan, N. L. Balazs
The quantization of the continous cat maps on the torus has led to rather pathological quantum objects [6]. The non-generic behaviour of this model has led some to conclude that th…
The Classical and Quantum Mechanics of Lazy Baker Maps
A. Lakshminarayan, N. L. Balazs
We introduce and study the classical and quantum mechanics of certain non hyperbolic maps on the unit square. These maps are modifications of the usual baker's map and their behavi…
Relaxation and Localization in Interacting Quantum Maps
A. Lakshminarayan, N. L. Balazs
We quantise and study several versions of finite multibaker maps. Classically these are exactly solvable K-systems with known exponential decay to global equilibrium. This is an at…