Nonlinear Phenomena in Complex Systems, 2007, Vol.10, No.1, pp.41-50

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.1, pp.41-50

Virtual Turning Points and New Stokes Curves in Stokes Geometry of Quantum Hénon Map.
Akira Shudo

We present a brief review of recently developed ideas to deal with the Stokes phenomenon in higher-order differential equations and to give a concrete recipe to analyze it within the exact WKB framework. We stress that new ingredients appear in multidimensional problems and incorporating them into the standard ones dissolves a paradox first discovered in analyzing a third-order differential equation. As a direct application of a proposed recipe, we consider Stokes geometry of the quantum Hénon map.
Key words: exact WKB analysis, Stokes geometry, quantum chaos, Hénon family

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