New quasi-exactly solvable periodic potentials

We present two new classes of quasi-exactly solvable periodic potentials. It is shown that their solutions are given in terms of a known special function. When the parameters in the two periodic potentials satisfy a certain condition, some of the Bloch waves and associated energies can be found exac...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-07, Vol.44 (28), p.285302-8
Main Author: Xie, Qiong-Tao
Format: Article
Language:English
Subjects:
Bloch waves
Brillouin zone
Construction
Energy bands
Exact sciences and technology
Exact solutions
Functions (mathematics)
Mathematical analysis
Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present two new classes of quasi-exactly solvable periodic potentials. It is shown that their solutions are given in terms of a known special function. When the parameters in the two periodic potentials satisfy a certain condition, some of the Bloch waves and associated energies can be found exactly and in closed form at either the center or the edge of the first Brillouin zone. Two fundamental sets of solutions have been constructed to calculate all the Bloch waves and energy bands.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/28/285302