The Fourier transform of the Hadamard transform: Multifractals, Sequences and Quantum Chaos

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We introduce a class of functions that limit to multifractal measures and which arise when one takes the Fourier transform of the Hadamard transform. This introduces generalizations of the Fourier transform of the well-studied and ubiquitous Thue-Morse sequence, and introduces also generalizations to other intriguing sequences. We show their relevance to quantum chaos, by displaying quantum eigenfunctions of the quantum bakers map that are approximated well by such measures, thereby extending our recent work where we pointed to the existence of ``Thue-Morse'' states.
4 pages

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Chaotic Dynamics, Other Condensed Matter, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/103899

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0510009
 http://arxiv.org/abs/nlin/0510009
 Proceedings of the National Conference on Nonlinear Systems and Dynamics, edited by M. Lakshmanan and R. Sahadevan (Allied Publishers, Chennai, India, 2006)

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arXiv