| **Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology,** Heriot-Watt University, Edinburgh, July 95 | |

*Quantum pendulums*

### R.K. Bullough ¹, J.T. Timonen

¹Department of Mathematics, UMIST,

PO Box 88, Manchester, M60 1QD, UK

Abstract

In the course of evaluating the functional integral for the *
classical* partition function for the sine-Gordon model, we found
`beyond all orders' low temperature strictly asymptotic expansions for
ln *Z* which are also found to be the iteration of a system of coupled
non-linear integral equations. Thus the asymptotic expansions are
`summable' to these coupled integral equations
Conference paper.

*Last modified Mon Apr 8 16:24:53 GB-Eire 1996
(DBD)*