Classical limit in terms of symbolic dynamics for the quantum baker's map

Details Classical limit in terms of symbolic dynamics for the quantum baker's map Classical limit in terms of symbolic dynamics for the quantum baker's map

1999-08-12

arxiv.org/abs/quant-ph/9908040v2

Phys. Rev. E 61, 5108 (2000)

Physics

Quantum Physics

12 pages, LaTex, typos corrected

Scientific paper

10.1103/PhysRevE.61.5108

We derive a simple closed form for the matrix elements of the quantum baker's
map that shows that the map is an approximate shift in a symbolic
representation based on discrete phase space. We use this result to give a
formal proof that the quantum baker's map approaches a classical Bernoulli
shift in the limit of a small effective Plank's constant.

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