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" Rickert's relevance : "
by Anton C. Zijderveld.
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Latin Dissertation
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| Language of Document
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English
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| Record Number
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1105218
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| Doc. No
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TLpq2303231109
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| Main Entry
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Rajaratnam, Krishan
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Sigal, Israel M.
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| Title & Author
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Vortex Lattice Solutions of the ZHK Chern-Simons Equations\ Rajaratnam, KrishanSigal, Israel M.
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| College
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University of Toronto (Canada)
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| Date
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2019
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| student score
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2019
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| Degree
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Ph.D.
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| Page No
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66
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| Abstract
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In this thesis we study the ZHK Chern-Simons equations which occur in the study of the fractional quantum hall effect of condensed matter physics. After stating basic properties of these equations, we first prove the existence of vortex lattice solutions of them. Among these solutions, we then find the lattice shape which minimizes the average energy per lattice cell. In addition to the vortex lattice solutions, we find solutions of the ZHK Chern-Simons equations on Riemann surfaces of higher genus g, by utilizing similar results for the Ginzburg-Landau equations. Finally, we study the orbital stability of the vortex lattice solutions under perturbations which preserve the lattice. Also, this thesis is based on results in two papers.
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| Subject
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Mathematics
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Physics
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