2002/02/12 by Alec Maassen van den Brink, Brink, Alec Maassen van den
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0202061
LaTeX2e, 2 p., prepared for the Notices of the Dutch Mathematical Society; `Alec' is my first name, `Maassen van den Brink' my family name
arxiv created 2002/02/12 · arxiv updated 2009/12/01
The book deals with a stochastic formulation of path integration in real time, by rotating thespace_ variables over exp(i pi/4). Preliminary chapters deal with quantum and classical mechanics, probability theory and stochastic calculus, and the conventional approach to path integration through the Trotter product formula. Subsequently, the stochastic formulation in complex space is established, and applied to semi-classical expansions, nonlinear oscillations, quantum dynamics on analytic manifolds, dissipative systems (i.e., those which are open in that they interact with an environment), tunneling, field theory, and computer simulations.