Extra dimensions to remove singularities and determine fundamental constants
The structure of atoms in an intense magnetic field (≂1012 G) is analyzed as a problem of “compactification” of dimensions. The motion of the electrons is reduced effectively to one dimension, with the dimensions transverse to the field direction frozen at small values. The analysis shows how a reduction in dimensions accounts for the removal of seeming singularities in the structure of atoms and for the occurrence of what appear to be fundamental constants that govern this structure. Thereby, this elementary problem of nonrelativistic quantum mechanics provides analogs of similar studies now being pursued in supergravity and other unified field theories. © 1985, American Association of Physics Teachers. All rights reserved.
Publication Source (Journal or Book title)
American Journal of Physics
Rau, A. (1985). Extra dimensions to remove singularities and determine fundamental constants. American Journal of Physics, 53 (12), 1183-1186. https://doi.org/10.1119/1.14080