Phys. Rev. E 61, 5108–5114 (2000)Classical limit in terms of symbolic dynamics for the quantum baker’s mapReceived 9 August 1999; published in the issue dated May 2000 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. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.61.5108
DOI:
10.1103/PhysRevE.61.5108
PACS:
05.45.-a
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