# Publications

Names of undergraduate student co-authors are in blue.

**“Transition in eigenvalue statistics due to tunneling in a simple quantum system”**, Todd K. Timberlake and Kya Wiggins,*Physical Review E*(2023) 108: 024205.**“The one-dimensional potential energy function that is analogous to a two-dimensional track”**, Todd K. Timberlake and Robert Mbenoun Mahend,*American Journal of Physics*(2023) 91: 345-350.**“Using zero-energy states to explore how external bound- aries affect the number of bound states in a quantum well”**, Todd K. Timberlake and Sarah E. Babione,*European Journal of Physics*(2022) 43: 035407.**“Band formation and defects in a finite periodic quantum potential”**, Todd K. Timberlake and Neilson Woodfield,*American Journal of Physics*(2022) 90: 93-102., Todd Timberlake and Paul Wallace (Cambridge University Press, 2019). For more information visit this page.**Finding Our Place in the Solar System: The Scientific Story of the Copernican Revolution**, Todd Timberlake and J. Wilson Mixon, Jr. (Springer, New York, 2015). For more information visit this page.*Classical Mechanics with Maxima***“Home, Sweet New Home – Astronomy for Students Under Alien Skies”,**Todd Timberlake,*The Classroom Astronomer***v. 5**, issue 20, 15-20 (Summer 2014).**“Seeing Earth’s Orbit in the Stars: Parallax and Aberration”,**Todd Timberlake,*The Physics Teacher***51**, 478-481 (2013). Reprint: ParallaxAberration**“Modeling the History of Astronomy: Ptolemy, Copernicus and Tycho”,**by Todd K. Timberlake,*Astronomy Education Review***12**, 010201 (2013). Available free at the link above.**“Mapping the Galaxy: Herschel’s Star Gages”,**Todd Timberlake,

*The Physics Teacher***51**, 48-51 (2013). Reprint: HerschelStarGages.**“Decay of wave packet revivals in the asymmetric infinite square well”,**Todd Timberlake and Seth Camp,*American Journal of Physics***79**, 607-614 (2011). Reprint: TimberlakeCamp.**“The Statistical Interpretation of Entropy: An Activity”,**Todd Timberlake,*The Physics Teacher***48**, 516-510 (2010). Reprint and other materials available here.**“Comparing periodic-orbit theory to perturbation theory in the asymmetric infinite square well”,**Todd Timberlake,*Physical Review E***81**, 046207 (2010). Reprint: PT_POT**“Quantum signatures of non-Newtonian orbits in the asymmetric infinite square well”,**Todd Timberlake and Molly Nelson,*Physical Review E***79**, 036213 (2009). Reprint: AISWspacings**“Computation in Classical Mechanics”,**Todd Timberlake and Javier E. Hasbun,*American Journal of Physics***76**, 334-339 (2008). Reprint and other materials available here.**“Tearing Plastic: A laboratory exercise on fractals and hyperbolic geometry”,**Ron Taylor and Todd Timberlake,*PRIMUS***17**, 316-324 (2007). Preprint and other materials available here.**“Random numbers and random matrices: Quantum chaos meets number theory”,**Todd Timberlake,*American Journal of Physics***74**, 547-553 (2006). Reprint and other materials available here.**“Localization of Floquet states along a continuous line of periodic orbits”,**T. Timberlake, F. Petruzielo, and L. E. Reichl,*Physical Review E***72**, 016208 (2005). Reprint: lineoforbits**“A computational approach to teaching conservative chaos”,**Todd Timberlake,*American Journal of Physics***72**, 1002-1007 (2004). Reprint and other materials available here.**“Correlation of the Photodetachment Rate of a Scarred Resonance State with the Classical Lyapunov Exponent”,**T. Timberlake and J. V. Foreman,*Physical Review Letters***90**, 103001 (2003). Reprint: correlation**“Phase-space picture of resonance creation and avoided crossings”,**T. Timberlake and L. E. Reichl,*Physical Review A***64**, 033404 (2001).Reprint: gauss**“Changes in Floquet-state structure at avoided crossings: Delocalization and harmonic generation”,**T. Timberlake and L. E. Reichl,*Physical Review A***59**, 2886 (1999). Reprint: changes**“High harmonic generation in systems with bounded chaos”,**W. Chism, T. Timberlake, and L. E. Reichl,*Physical Review E***58**, 1713 (1998). Reprint: hhg**Dissertation:**Todd K. Timberlake. This is my Ph.D. dissertation and it runs about 200 pages. It contains a fairly complete description of my research as a graduate student at the University of Texas. Feel free to download the file if you want all the details, but if you only want the highlights you might want to stick to the published articles listed above. Print copies are available from University Microfilm, Inc. Online version: dissertation*Quantum signatures of chaos in periodically driven systems*,

This dissertation, and the papers that are derived from it, were completed under the supervision of Dr. Linda E. Reichl while I was a graduate student at the University of Texas at Austin.