Details
| Original language | English |
|---|---|
| Pages (from-to) | 11800-11809 |
| Number of pages | 10 |
| Journal | Physical Review B |
| Volume | 39 |
| Issue number | 16 |
| Publication status | Published - 1 Jun 1989 |
| Externally published | Yes |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B, Vol. 39, No. 16, 01.06.1989, p. 11800-11809.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quantization conditions for the periodic Toda chain
T2 - Inadequacy of Bethe-ansatz methods
AU - Fowler, Michael
AU - Frahm, Holger
PY - 1989/6/1
Y1 - 1989/6/1
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevB.39.11800
DO - 10.1103/PhysRevB.39.11800
M3 - Article
AN - SCOPUS:0041490090
VL - 39
SP - 11800
EP - 11809
JO - Physical Review B
JF - Physical Review B
SN - 0163-1829
IS - 16
ER -