Lower bounds on wave packet propagation by packing dimensions of spectral measures

Guarneri I, Schulz-Baldes H (1999)

Publication Type: Journal article

Publication year: 1999

Journal

Mathematical Physics Electronic Journal Angel Jorba & Jaume Timoneda, Eds. & Pubs.

Publisher: Angel Jorba & Jaume Timoneda, Eds. & Pubs.

Book Volume: 5

Pages Range: 1-18

URI: http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=98-457

Abstract

We prove that, for any quantum evolution in l2(ZD), there exist arbitrarily long time scales on which the qth moment of the position operator increases at least as fast as a power of time given by q/D times the packing dimension of the spectral measure. Packing dimensions of measures and their connections to scaling exponents and box-counting dimensions are also discussed.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

University of Insubria / Università degli Studi dell'Insubria IT Italy (IT)

How to cite

APA:

Guarneri, I., & Schulz-Baldes, H. (1999). Lower bounds on wave packet propagation by packing dimensions of spectral measures. Mathematical Physics Electronic Journal, 5, 1-18.

MLA:

Guarneri, Italo, and Hermann Schulz-Baldes. "Lower bounds on wave packet propagation by packing dimensions of spectral measures." Mathematical Physics Electronic Journal 5 (1999): 1-18.

BibTeX: Download