Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Parity-Conserving Canonical Quantization for the Baker's Map   We present here a complete description of the quantization of the baker's
map. The method we use is quite different from that used in Balazs and Voros
[BV] and Saraceno [S]. We use as the quantum algebra of observables the
operators generated by {exp(2 Pi ix),exp (2 Pi ip)} and construct a unitary
propagator such that as Planck's constant tends to zero,the classical dynamics
is returned. For Planck's constant satisfying the integrality condition 1/N
with N even, and for periodic boundary conditions for the wave functions on the
torus, we show that the dynamics can be reduced to the dynamics on an
N-dimensional Hilbert space, and the unitary N by N matrix propagator is the
same as given in [BV] except for a small correction of order Planck's constant.
This correction is is shown to preserve the symmetry x->1-x and p->1-p of the
classical map for periodic boundary conditions.

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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc