Line Groups in Physics: Theory and Applications to Nanotubes and Polymers: 801 2010th Edition

From the reviews:

“The key words ‘line groups’ in the monograph’s title point to the coverage of the study, by group theoretical methods, of the symmetry of quasi-one-dimensional physical systems, the structure of which shows two distinct features … . In view of the huge rise of interest during the last decade in the investigation of such low-dimensional finite ‘nano’-systems … the monograph under review is a timely publication. … Well-done illustrative color figures help the reader to assimilate the arid evidence collected in the tables.” (Gh. Adam, Mathematical Reviews, Issue 2011 f)

This volume gives a detailed and up-to-date overview of the line groups, the groups that describe the symmetry of quasi-one dimensional crystals. Nanotubes, nanowires, nanosprings, nanorods, and polymers are examples remarkable enough to have kept nanoscience as a leading field within material science and solid state physics for more than fifteen years now. The authors present the mathematical foundations, including classifications of the line groups, quasi one-dimensional crystals and quantum numbers, together with important applications. Extensive illustrations related to the physics of nanotubes make the book essential reading in this field above all. The book clearly demonstrates how symmetry is a most profound property of nature and contains valuable results that are published here for the first time.