A quantized henon map

John Erik Fornæss; Brendan Weickert

doi:10.3934/dcds.2000.6.723

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2000, Volume 6, Issue 3: 723-740. Doi: 10.3934/dcds.2000.6.723

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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
2.
Dept of Mathematics, University of Chicago, Chicago, IL 60637

Received: January 31, 2000

Published: June 2000

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Abstract

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.

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Mathematics Subject Classification: 32H50, 37N20.

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