The Schrödinger equation ... is considered. The solution of this equation
is reduced to the problem of finding the eigenvectors of an infinite matrix.
The infinite matrix is truncated to a finite matrix. The approximation due
to the truncation is carefully studied. The band structure of the eigenvalues
is shown. The eigenvectors of the multiwells potential are presented. The
solutions of Schrödinger equation are calculated. The results are very sensitive to the value of the parameter y. Localized solutions, in the case that
the energy is slightly greater than the maximum value of the potential, are
presented. Wigner and Weyl functions, corresponding to the solutions of
Schrödinger equation, are also studied. It is also shown that they are very
sensitive to the value of the parameter y. / Garyounis University and Libyan Cultural Affairs
| Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/4895 |
| Date | January 2010 |
| Creators | Mugassabi, Souad |
| Contributors | Vourdas, Apostolos |
| Publisher | University of Bradford, Department of Mathematics |
| Source Sets | Bradford Scholars |
| Language | English |
| Detected Language | English |
| Type | Thesis, doctoral, PhD |
| Rights | <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-nc-nd/3.0/88x31.png" /></a><br />The University of Bradford theses are licenced under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/">Creative Commons Licence</a>. |
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