Instantons and Monte Carlo Methods in Quantum Mechanics
Abstract
Description
In these lectures we describe the use of Monte Carlo simulations in understanding the role of tunneling events, instantons, in a quantum mechanical toy model. We study, in particular, a variety of methods that have been used in the QCD context, such as Monte Carlo simulations of the partition function, cooling and heating, the random and interacting instanton liquid model, and numerical simulations of non-Gaussian corrections to the semi-classical approximation.
32 pages, part of a series of lectures first delivered at BNL (1999) and Kopenhagen (2001), recently revised and updated; a collection of computer programs is available at http://wonka.physics.ncsu.edu/~tmschaef/physics/qmcodes/
32 pages, part of a series of lectures first delivered at BNL (1999) and Kopenhagen (2001), recently revised and updated; a collection of computer programs is available at http://wonka.physics.ncsu.edu/~tmschaef/physics/qmcodes/