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Periodic orbit theory for the quantized baker's map

✍ Scribed by A.M Ozorio de Almeida; M Saraceno

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
784 KB
Volume
210
Category
Article
ISSN
0003-4916

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✦ Synopsis

The semiclassical limit for an iteration of the baker's map is constructed by quantizing the corresponding iteration of the classical map. The resulting propagator can be expressed in terms of the classical generating function, leading to explicit expressions for the actions of all the periodic orbits. The periodic orbit sum for the smoothed density of quasi-energy levels is derived taking full account of the discreteness of the underlying phase space. Comparison with exact results shows excellent agreement for smoothings which are much larger than the average level spacing.

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