Classical limit in terms of symbolic dynamics for the quantum baker's map
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
دوره 61 5A شماره
صفحات -
تاریخ انتشار 2000