AAPT Abstract Archive

Abstract Information

  Session: The Wonderful World of AJP
  Paper Type: Invited
  Title: The Enticing World of Quantized Wheels
  Meeting: 2017 Winter Meeting: Atlanta, Georgia
  Location: N/A
  Time: 1:30PM
  Author: Eduardo De Campos Valadares,
Federal University of Minas Gerais (UFMG),
+55 31 34095675, ecamposv@fisica.ufmg.br
  Co-Author(s): None
  Abstract: A simple approach is presented allowing one to determine all possible wheels that can roll smoothly without slipping on a periodic roadbed, while keeping their center of mass at fixed height. The inverse problem of obtaining the roadbed profile compatible with a specific wheel and all other related "quantized wheels" is also addressed. In contrast with geometrically quantized nanosystems like carbon nanotubes, the "ground state" might have a lower symmetry than that required by the periodic roadbed and hence is a "forbidden state." In this cases a new road profile must be found compatible with the "ground state" wheel. Several illustrative examples are discussed that highlight the different possibilities related to non-conventional wheels, including possible applications and the impossibility of "stars" rolling smoothly.
  Footnotes: None
  Presentation: HF03_Valadares.pdf

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