Quantization conditions for the periodic Toda chain
Inadequacy of Bethe-ansatz methods
- authored by
- Michael Fowler, Holger Frahm
- Abstract
Gutzwiller has developed a scheme for determining the energy levels of a finite quantum Toda lattice. We present a numerical analysis using his method and calculate low-lying energy levels for some small lattices. We check the completeness of his quantization conditions in the harmonic (low-energy) and the semiclassical (high-energy) limits. Our main finding is that the Bethe-ansatz spectrum equations, known to be exact for an infinite Toda lattice in the classical limit, are incorrect for finite and quantum lattices.
- External Organisation(s)
-
University of Virginia
- Type
- Article
- Journal
- Physical Review B
- Volume
- 39
- Pages
- 11800-11809
- No. of pages
- 10
- ISSN
- 0163-1829
- Publication date
- 01.06.1989
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Condensed Matter Physics
- Electronic version(s)
-
https://doi.org/10.1103/PhysRevB.39.11800 (Access:
Unknown)
https://doi.org/10.15488/5093 (Access: Open)
