Wavefunctions, expectation values and scars on Poincaré sections - a scattering approach
- 21 June 1996
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 29 (12) , 3213-3231
- https://doi.org/10.1088/0305-4470/29/12/026
Abstract
Using the scattering approach to quantization, we define an appropriate representation of the billiard wavefunction on the scattering Poincaré section. The expectation values of smooth operators in terms of these Poincaré section wavefunctions are expressed as sums over periodic orbits. A special operator is used to define scars on the section and the relation to scars in configuration space is discussed and demonstrated numerically.Keywords
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