An Optimized Technique for Wigner Kernel Estimation
- Resource Type
- Conference
- Authors
- Todorov, Venelin; Fidanova, Stefka; Dimov, Ivan; Poryazov, Stoyan
- Source
- 2021 16th Conference on Computer Science and Intelligence Systems (FedCSIS) Computer Science and Intelligence Systems (FedCSIS), 2021 16th Conference on. :235-238 Sep, 2021
- Subject
- Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Robotics and Control Systems
Signal Processing and Analysis
Computer science
Monte Carlo methods
Quantum mechanics
Estimation
Robustness
Kernel
Computational complexity
- Language
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.