{"id":210,"date":"2015-12-21T16:50:52","date_gmt":"2015-12-21T21:50:52","guid":{"rendered":"http:\/\/sites.berry.edu\/ttimberlake\/?page_id=210"},"modified":"2026-02-24T09:02:36","modified_gmt":"2026-02-24T14:02:36","slug":"pubs","status":"publish","type":"page","link":"https:\/\/sites.berry.edu\/ttimberlake\/pubs\/","title":{"rendered":"Publications"},"content":{"rendered":"<p>Names of undergraduate student co-authors are in <span style=\"color: #0000ff\">blue.<\/span><\/p>\n<ul>\n<li>\n<p class=\"p1\">\u201cOn the placement of scaled delta barriers in the infinite square well,\u201d Todd K. Timberlake and <span style=\"color: #0000ff\">Benjamin Roush<\/span>, <a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/ae43a1\">European Journal of Physics (2026) 47: 025401<\/a>.<\/p>\n<p class=\"p1\">\n<\/li>\n<li>\n<p class=\"p1\">\u201cAnalyzing motion on a surface of revolution using the effective analogous potential energy function,\u201d Todd K. Timberlake, <span style=\"color: #0000ff\">Hayden McGuire<\/span>, and <span style=\"color: #0000ff\">Robert Mbenoun Mahend<\/span>, <a href=\"https:\/\/pubs.aip.org\/aapt\/ajp\/article\/94\/1\/16\/3375225\">American Journal of Physics (2026) 94: 16-24<\/a>.<\/p>\n<p class=\"p1\">\n<\/li>\n<li>\n<p class=\"p1\">\u201cThe Effect of Spatial Disorder on Eigenvalue Statistics and Eigenstate Structure in a Simple Quantum System,\u201d Todd K. Timberlake and <span style=\"color: #0000ff\">Noah C. Koch<\/span>, <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10955-025-03449-2\">Journal of Statistical Physics (2025) 192: 66<\/a>.<\/p>\n<\/li>\n<li><strong>\u201cTransition in eigenvalue statistics due to tunneling in a simple quantum system&#8221;<\/strong>, Todd K. Timberlake and <span style=\"color: #0000ff\">Kya Wiggins<\/span>,\u00a0 <a href=\"https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.108.024205\"><em>Physical Review E<\/em> (2023) 108: 024205.<\/a><\/li>\n<li><strong>\u201cThe one-dimensional potential energy function that is analogous to a two-dimensional track&#8221;<\/strong>,\u00a0 Todd K. Timberlake and <span style=\"color: #0000ff\">Robert Mbenoun Mahend<\/span>, <a href=\"https:\/\/pubs.aip.org\/aapt\/ajp\/article-abstract\/91\/5\/345\/2882850\/The-one-dimensional-potential-energy-function-that?redirectedFrom=fulltext\"><em>American Journal of Physics<\/em> (2023) 91: 345-350<\/a>.<\/li>\n<li><strong>\u201cUsing zero-energy states to explore how external bound- aries affect the number of bound states in a quantum well&#8221;<\/strong>,\u00a0 Todd K. Timberlake and <span style=\"color: #0000ff\">Sarah E. Babione<\/span>, <a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6404\/ac60aa\"><em>European Journal of Physics<\/em> (2022) 43: 035407<\/a>.<\/li>\n<li><strong>\u201cBand formation and defects in a finite periodic quantum potential&#8221;<\/strong>, Todd K. Timberlake and <span style=\"color: #0000ff\">Neilson Woodfield<\/span>, <a href=\"https:\/\/pubs.aip.org\/aapt\/ajp\/article-abstract\/90\/2\/93\/2819714\/Band-formation-and-defects-in-a-finite-periodic?redirectedFrom=fulltext\"><em>American Journal of Physics<\/em> (2022) 90: 93-102<\/a>.<\/li>\n<li><em><strong>Finding Our Place in the Solar System:\u00a0 The Scientific Story of the Copernican Revolution<\/strong><\/em>, Todd Timberlake and Paul Wallace (Cambridge University Press, 2019).\u00a0 For more information visit <a href=\"https:\/\/sites.berry.edu\/ttimberlake\/teaching\/copernican-revolution\/\">this page<\/a>.<\/li>\n<li><strong><em>Classical Mechanics with Maxima<\/em><\/strong>, Todd Timberlake and J. Wilson Mixon, Jr. (Springer, New York, 2015).\u00a0 For more information visit <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/cm_maxima\/\">this page<\/a>.<\/li>\n<li><b>&#8220;Home, Sweet New Home &#8211; Astronomy for Students Under Alien Skies&#8221;, <\/b>Todd Timberlake, <a href=\"https:\/\/www.classroomastronomer.com\/backissues\/BackIssuesV5.html\"><i>The Classroom Astronomer<\/i> <b>v. 5<\/b>, issue 20, 15-20 (Summer 2014)<\/a>.<\/li>\n<li><b>&#8220;Seeing Earth&#8217;s Orbit in the Stars: Parallax and Aberration&#8221;, <\/b>Todd Timberlake, <a href=\"https:\/\/pubs.aip.org\/aapt\/pte\/article-abstract\/51\/8\/478\/276641\/Seeing-Earth-s-Orbit-in-the-Stars-Parallax-and?redirectedFrom=fulltext\"><i>The Physics Teacher<\/i> <b>51<\/b>, 478-481 (2013).\u00a0 <\/a>Reprint:\u00a0<a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/ParallaxAberration.pdf\" rel=\"\">ParallaxAberration<\/a><\/li>\n<li><b>&#8220;Modeling the History of Astronomy: Ptolemy, Copernicus and Tycho&#8221;, <\/b>by Todd K. Timberlake, <a href=\"http:\/\/portico.org\/stable?au=pgg3ztfcvw0\"><i>Astronomy Education Review<\/i> <b>12<\/b>, 010201 (2013).\u00a0 <\/a>Available free at the link above.<\/li>\n<li><b>&#8220;Mapping the Galaxy: Herschel&#8217;s Star Gages&#8221;, <\/b>Todd Timberlake,<br \/>\n<a href=\"https:\/\/pubs.aip.org\/aapt\/pte\/article-abstract\/51\/1\/48\/318851\/Mapping-the-Milky-Way-William-Herschel-s-Star?redirectedFrom=fulltext\"><i>The Physics Teacher<\/i> <b>51<\/b>, 48-51 (2013).\u00a0 <\/a>Reprint: <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/HerschelStarGages.pdf\" rel=\"\">HerschelStarGages<\/a>.<\/li>\n<li><b>&#8220;Decay of wave packet revivals in the asymmetric infinite square well&#8221;, <\/b>Todd Timberlake and <span style=\"color: #0000ff\">Seth Camp<\/span>, <a href=\"https:\/\/pubs.aip.org\/aapt\/ajp\/article-abstract\/79\/6\/607\/1041132\/Decay-of-wave-packet-revivals-in-the-asymmetric?redirectedFrom=fulltext\"><i>American Journal of Physics<\/i> <b>79<\/b>, 607-614 (2011)<\/a>.\u00a0 Reprint: <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/TimberlakeCamp.pdf\" rel=\"\">TimberlakeCamp<\/a>.<\/li>\n<li><b>&#8220;The Statistical Interpretation of Entropy: An Activity&#8221;, <\/b>Todd Timberlake, <a href=\"https:\/\/pubs.aip.org\/aapt\/pte\/article-abstract\/48\/8\/516\/276273\/The-Statistical-Interpretation-of-Entropy-An?redirectedFrom=fulltext\"><i>The Physics Teacher<\/i> <b>48<\/b>, 516-510 (2010)<\/a>.\u00a0 Reprint and other materials available <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/teaching\/statistical-interpretation-of-entropy\/\">here<\/a>.<\/li>\n<li><b>&#8220;Comparing periodic-orbit theory to perturbation theory in the asymmetric infinite square well&#8221;, <\/b>Todd Timberlake, <a href=\"https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.81.046207\"><i>Physical Review E<\/i> <b>81<\/b>, 046207 (2010).\u00a0<\/a> Reprint: <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/PT_POT.pdf\" rel=\"\">PT_POT<\/a><\/li>\n<li><b>&#8220;Quantum signatures of non-Newtonian orbits in the asymmetric infinite square well&#8221;, <\/b>Todd Timberlake and <span style=\"color: #0000ff\">Molly Nelson<\/span>, <a href=\"https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.79.036213\"><i>Physical Review E<\/i> <b>79<\/b>, 036213 (2009).<\/a>\u00a0 Reprint: <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/AISWspacings.pdf\" rel=\"\">AISWspacings<\/a><\/li>\n<li><b>&#8220;Computation in Classical Mechanics&#8221;, <\/b>Todd Timberlake and Javier E. Hasbun, <a href=\"https:\/\/pubs.aip.org\/aapt\/ajp\/article-abstract\/76\/4\/334\/1040250\/Computation-in-classical-mechanics?redirectedFrom=fulltext\"><i>American Journal of Physics<\/i> <b>76<\/b>, 334-339 (2008)<\/a>.\u00a0 Reprint and other materials available <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/computation-in-classical-mechanics\/\">here<\/a>.<\/li>\n<li><b>&#8220;Tearing Plastic: A laboratory exercise on fractals and hyperbolic geometry&#8221;, <\/b>Ron Taylor and Todd Timberlake, <a href=\"https:\/\/www.tandfonline.com\/doi\/full\/10.1080\/10511970601131605\"><i>PRIMUS<\/i> <b>17<\/b>, 316-324 (2007)<\/a>.\u00a0 Preprint and other materials available <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/tearing-plastic\/\">here<\/a>.<\/li>\n<li><b>&#8220;Random numbers and random matrices: Quantum chaos meets number theory&#8221;, <\/b>Todd Timberlake, <a href=\"https:\/\/pubs.aip.org\/aapt\/ajp\/article-abstract\/74\/6\/547\/1041869\/Random-numbers-and-random-matrices-Quantum-chaos?redirectedFrom=fulltext\"><i>American Journal of Physics<\/i> <b>74<\/b>, 547-553 (2006)<\/a>.\u00a0 Reprint and other materials available here.<\/li>\n<li><b>&#8220;Localization of Floquet states along a continuous line of periodic orbits&#8221;, <\/b>T. Timberlake, <span style=\"color: #0000ff\">F. Petruzielo<\/span>, and L. E. Reichl, <a href=\"https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.72.016208\"><i>Physical Review E<\/i> <b>72<\/b>, 016208 (2005).\u00a0<\/a> Reprint: <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/lineoforbits.pdf\" rel=\"\">lineoforbits<\/a><\/li>\n<li><b>&#8220;A computational approach to teaching conservative chaos&#8221;, <\/b>Todd Timberlake, <a href=\"https:\/\/pubs.aip.org\/aapt\/ajp\/article-abstract\/72\/8\/1002\/529218\/A-computational-approach-to-teaching-conservative?redirectedFrom=fulltext\"><i>American Journal of Physics<\/i> <b>72<\/b>, 1002-1007 (2004)<\/a>.\u00a0 Reprint and other materials available <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/computational-approach-to-teaching-conservative-chaos\/\">here<\/a>.<\/li>\n<li><b>&#8220;Correlation of the Photodetachment Rate of a Scarred Resonance State with the Classical Lyapunov Exponent&#8221;, <\/b>T. Timberlake and <span style=\"color: #0000ff\">J. V. Foreman<\/span>, <a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.90.103001\"><i>Physical Review Letters<\/i> <b>90<\/b>, 103001 (2003).<\/a>\u00a0 Reprint: <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/correlation.pdf\" rel=\"\">correlation<\/a><\/li>\n<li><b>&#8220;Phase-space picture of resonance creation and avoided crossings&#8221;, <\/b>T. Timberlake and L. E. Reichl, <a href=\"https:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.64.033404\"><i>Physical Review A<\/i> <b>64<\/b>, 033404 (2001).<\/a>Reprint: <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/gauss.pdf\" rel=\"\">gauss<\/a><\/li>\n<li><b>&#8220;Changes in Floquet-state structure at avoided crossings: Delocalization and harmonic generation&#8221;, <\/b>T. Timberlake and L. E. Reichl, <a href=\"https:\/\/journals.aps.org\/pra\/abstract\/10.1103\/PhysRevA.59.2886\"><i>Physical Review A<\/i> <b>59<\/b>, 2886 (1999).<\/a>\u00a0 Reprint: <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/changes.pdf\" rel=\"\">changes<\/a><\/li>\n<li><b>&#8220;High harmonic generation in systems with bounded chaos&#8221;, <\/b>W. Chism, T. Timberlake, and L. E. Reichl, <a href=\"https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.58.1713\"><i>Physical Review E<\/i> <b>58<\/b>, 1713 (1998).<\/a>\u00a0 Reprint: <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/hhg.pdf\" rel=\"\">hhg<\/a><\/li>\n<li><b>Dissertation: <em>Quantum signatures of chaos in periodically driven systems<\/em>, <\/b>Todd K. Timberlake.\u00a0 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.\u00a0 Online version: <a href=\"http:\/\/sites.berry.edu\/ttimberlake\/wp-content\/uploads\/sites\/37\/2015\/12\/dissertation.pdf\" rel=\"\">dissertation<\/a><\/li>\n<\/ul>\n<p>This dissertation, and the papers that are derived from it, were completed under the supervision of <a href=\"http:\/\/order.ph.utexas.edu\/people\/Reichl.htm\">Dr. Linda E. Reichl<\/a> while I was a graduate student at the University of Texas at Austin.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Names of undergraduate student co-authors are in blue. \u201cOn the placement of scaled delta barriers in the infinite square well,\u201d Todd K. Timberlake and Benjamin Roush, European Journal of Physics [&hellip;]<\/p>\n","protected":false},"author":50,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-container-style":"default","site-container-layout":"default","site-sidebar-layout":"default","site-transparent-header":"default","disable-article-header":"default","disable-site-header":"default","disable-site-footer":"default","disable-content-area-spacing":"default","footnotes":""},"class_list":["post-210","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.berry.edu\/ttimberlake\/wp-json\/wp\/v2\/pages\/210","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.berry.edu\/ttimberlake\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.berry.edu\/ttimberlake\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.berry.edu\/ttimberlake\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.berry.edu\/ttimberlake\/wp-json\/wp\/v2\/comments?post=210"}],"version-history":[{"count":14,"href":"https:\/\/sites.berry.edu\/ttimberlake\/wp-json\/wp\/v2\/pages\/210\/revisions"}],"predecessor-version":[{"id":592,"href":"https:\/\/sites.berry.edu\/ttimberlake\/wp-json\/wp\/v2\/pages\/210\/revisions\/592"}],"wp:attachment":[{"href":"https:\/\/sites.berry.edu\/ttimberlake\/wp-json\/wp\/v2\/media?parent=210"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}