Classical limit in terms of symbolic dynamics for the quantum baker’s map
- 1 May 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 61 (5) , 5108-5114
- https://doi.org/10.1103/physreve.61.5108
Abstract
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 Planck’s constant.Keywords
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