American Institute of Mathematical Sciences

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July  2000, 6(3): 723-740. doi: 10.3934/dcds.2000.6.723

A quantized henon map

John Erik Fornæss 1, and  Brendan Weickert 2,

1. 

Department of Mathematics, University of Michigan, East Hall 525, East University Avenue, Ann Arbor, MI 48109-1109, United States
2. 

Dept of Mathematics, University of Chicago, Chicago, IL 60637

Received  February 2000 Published  April 2000

We quantize the classical Henon map on $\mathbb R^2$, obtaining a unitary map on $L^2 (\mathbb R)$ whose dynamics we study, developing analogies to the classical dynamics.
Keywords: Hamiltonian., pseudodifferential operator, Henon map.
Mathematics Subject Classification: 32H50, 37N2.
Citation: John Erik Fornæss, Brendan Weickert. A quantized henon map. Discrete & Continuous Dynamical Systems, 2000, 6 (3) : 723-740. doi: 10.3934/dcds.2000.6.723
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