A TOPOLOGICAL QUANTUM-THEORY INTERPRETATION OF INTEGRABLE MODELS


DAYI O.

MODERN PHYSICS LETTERS A, vol.6, no.19, pp.1797-1806, 1991 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 19
  • Publication Date: 1991
  • Doi Number: 10.1142/s0217732391001949
  • Title of Journal : MODERN PHYSICS LETTERS A
  • Page Numbers: pp.1797-1806

Abstract

An integrable model can be interpreted as a constrained Hamiltonian system by treating constants of motion of the former as constraints of the latter. The new constrained Hamiltonian system, when we deal with a finite initial phase space, after quantization does not have local excitations if operator ordering does not cause anomalies. So that it is a topological quantum theory. As an example, operator quantization of the Toda lattice where the ordering is important, is studied.