Quantization conditions for the periodic Toda chain
Inadequacy of Bethe-ansatz methods
- verfasst von
- 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.
- Externe Organisation(en)
-
University of Virginia
- Typ
- Artikel
- Journal
- Physical Review B
- Band
- 39
- Seiten
- 11800-11809
- Anzahl der Seiten
- 10
- ISSN
- 0163-1829
- Publikationsdatum
- 01.06.1989
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Physik der kondensierten Materie
- Elektronische Version(en)
-
https://doi.org/10.1103/PhysRevB.39.11800 (Zugang:
Unbekannt)
https://doi.org/10.15488/5093 (Zugang: Offen)
