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An Optimized Technique for Wigner Kernel Estimation

Todorov Venelin, Fidanova Stefka, Dimov Ivan, Poryazov Stoyan

Annals of Computer Science and Information Systems

2021

Vol. 25

235--238

We study an optimized Adaptive Monte Carlo algorithm for the Wigner kernel- an important problem in quantum mechanics. We will compare the results with the basic adaptive approach and other stochastic approaches for computing the Wigner kernel represented by difficult multidimensional integrals in dimension d up to 12. The higher cases d > 12 will be considered for the first time. A comprehensive study and an analysis of the computational complexity of the optimized Adaptive MC algorithm under consideration has also been presented.