The ST-Transformation Approach to Analytic Solutions of Quantum Systems. I: General Formulations and Basic Limit Theorems
- 1 October 1987
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 78 (4), 787-799
- https://doi.org/10.1143/ptp.78.787
Abstract
A basic idea to solve quantum systems using classical methods such as the transfer-matrix and Pfaffian methods or the Bethe Ansatz is explained on the basis of the ST-transformation. Some useful theorems are proven concerning the thermodynamic limit and the infinite limit of the Trotter number. A simple application of this general method is given.Keywords
This publication has 3 references indexed in Scilit:
- Quantum statistical monte carlo methods and applications to spin systemsJournal of Statistical Physics, 1986
- Existence of the thermodynamic limit in nonequilibrium systemsJournal of Statistical Physics, 1979
- On the product of semi-groups of operatorsProceedings of the American Mathematical Society, 1959