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


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)