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The magnetic vector potential, Klein-Gordon equation and Klein’s paradox in relativistic quantum mechanics

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dc.contributor.advisor Behrman, Elizabeth C. en_US
dc.contributor.author Schaffer, David L.
dc.date.accessioned 2007-12-15T21:01:18Z
dc.date.available 2007-12-15T21:01:18Z
dc.date.copyright 2007 en
dc.date.issued 2007-05
dc.identifier.other t07046
dc.identifier.uri http://hdl.handle.net/10057/1170
dc.description Thesis (M.S.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Physics en
dc.description.abstract This thesis evaluates solutions to the Klein-Gordon equation with scalar and vector potentials in the Symmetric and Landau gauges. The solution for the Klein-Gordon equation in the Symmetric gauge does reproduce elements of the two dimensional quantum harmonic oscillator. The Landau gauge solution is used in the velocity selector situation where particles can have acceleration free motion for a selected velocity. The Klein Paradox for spin less particles is reviewed and its application to the Klein- Gordon equation shows that the vector potential can have an effect on particle pair production without the violation of conservation of momentum or energy, that this effect is to suppress the particle pair production associated with Klein’s paradox and that the suppressive effect can, under certain conditions, become strong enough to prevent particle pair production in Klein’s paradox when the scalar potential is otherwise many times what would be necessary to create Klein’s paradox particle pairs. en
dc.format.extent xxii, 324 leaves, ill. en
dc.format.extent 2246343 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US en
dc.rights Copyright David L.Schaffer, 2007. All rights reserved. en
dc.subject.lcsh Electronic dissertations en
dc.title The magnetic vector potential, Klein-Gordon equation and Klein’s paradox in relativistic quantum mechanics en
dc.type Thesis en

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  • Master's Theses [823]
    This collection includes Master's theses completed at the Wichita State University Graduate School (Fall 2005 --)
  • LAS Theses and Dissertations [379]
    Theses and dissertations completed at the College of Liberal Arts and Sciences (Fall 2005 -)
  • PHY Theses [3]

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