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L'application du chat quantique
- Publication Year :
- 2024
-
Abstract
- In this paper we deal with the quantum dynamics of hyperbolic linear automorphisms of the torus, such as "Arnold's cat map", and study its behavior after Ehrenfest time. We show that, in the basis of wave packets, the associated propagator is well approximed by Birkhoff sums of nilrotations on the torus.<br />Comment: Master's thesis, in French, comments welcome, in any language
- Subjects :
- Mathematics - General Mathematics
81Q50
Subjects
Details
- Language :
- French
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2501.06190
- Document Type :
- Working Paper