Houston, William V.2016-04-222016-04-221963Lane, Eric Trent. "On the diamagnetism of free electrons." (1963) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89839">https://hdl.handle.net/1911/89839</a>.https://hdl.handle.net/1911/89839The effect of proximity to an infinite potential wall boundary on the elgenvalues of single particle free electron states in a magnetic field is calculated. A general method for calculating the number of states below a specified energy is described and the diamagnetic susceptibility is calculated for three approximations, It is found that the Landau approximation gives surprisingly good results considering its simplicity. A classification of much of the important work in this subject is presented in the introduction, and a possible discrepancy in the usual applications of the WKB approximation is discussed in an appendix.45 ppengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.ThesisRICE0873reformatted digitalThesis Phys. 1963 Lane