Journal of Quantum Information Science, 2017, 7, 77-88 http://www.scirp.org/journal/jqis ISSN Online: 2162-576X ISSN Print: 2162-5751 DOI: 10.4236/jqis.2017.73008 Sep. 18, 2017 77 Journal of Quantum Information Science Application of Scale Relativity to the Problem of a Particle in a Simple Harmonic Oscillator Potential Saeed N. T. Al-Rashid 1 , Mohammed A. Z. Habeeb 2 , Khalid A. Ahmed 3 Abstract Keywords