Exact eigenfunctions for a quantised map
- 11 July 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (10), 1823-1831
- https://doi.org/10.1088/0305-4470/19/10/023
Abstract
Exact eigenfunctions for quantised linear maps on a torus are constructed. A connection with the number of periodic orbits of the classical map is established. It is shown that in the semiclassical limit the eigenfunctions become more and more random, i.e. their correlation function approaches a delta function.Keywords
This publication has 12 references indexed in Scilit:
- Stochastic behavior of a quantum pendulum under a periodic perturbationPublished by Springer Nature ,2006
- Quantum Limitations for Chaotic Excitation of the Hydrogen Atom in a Monochromatic FieldPhysical Review Letters, 1984
- Onset of Chaos in an Isolated Energy EigenstatePhysical Review Letters, 1984
- The periodically kicked rotator: Recurrence and/or energy growthJournal of Statistical Physics, 1984
- Quantum dynamics of a nonintegrable systemPhysical Review A, 1984
- Chaos, Quantum Recurrences, and Anderson LocalizationPhysical Review Letters, 1982
- Quantization of linear maps on a torus-fresnel diffraction by a periodic gratingPhysica D: Nonlinear Phenomena, 1980
- Method of calculating renormalization-group functions in the scheme of dimensional regularizationTheoretical and Mathematical Physics, 1980
- Quantum mapsAnnals of Physics, 1979
- Regular and irregular semiclassical wavefunctionsJournal of Physics A: General Physics, 1977