2012/09/03 by I. Mayer, István Mayer, Mayer, István
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #quant-ph
paper · pdf · doi:10.48550/arxiv.1209.0711
6 pages. Some references have been added and a mistake is corrected which, however, did not influence the final conclusion
arxiv created 2012/10/09 · arxiv updated 2012/10/10
It is demonstrated that -- contrary to the common belief -- it is possible to construct solutions of the non-relativistic Schrödinger equation of a free particle, that do not exhibit dispersion. However, it seems that no normalizable wave packets can be built up by their use, so the spreading of the wave packets is indeed inevitable.