عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
NATIONAL BIBLIOGRAPHY NUMBER
Number
TLpq2303231109
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Vortex Lattice Solutions of the ZHK Chern-Simons Equations
General Material Designation
[Thesis]
First Statement of Responsibility
Rajaratnam, Krishan
Subsequent Statement of Responsibility
Sigal, Israel M.
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
University of Toronto (Canada)
Date of Publication, Distribution, etc.
2019
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
66
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
Ph.D.
Body granting the degree
University of Toronto (Canada)
Text preceding or following the note
2019
SUMMARY OR ABSTRACT
Text of Note
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.
TOPICAL NAME USED AS SUBJECT
Mathematics
Physics
PERSONAL NAME - PRIMARY RESPONSIBILITY
Rajaratnam, Krishan
Sigal, Israel M.
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب p
[Thesis]
276903
a
Y
