Towards a mathematical theory of the Madelung equations: Takabayasi's quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom …
M Reddiger, B Poirier - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
Even though the Madelung equations are central to many'classical'approaches to the
foundations of quantum mechanics such as Bohmian and stochastic mechanics, no …
foundations of quantum mechanics such as Bohmian and stochastic mechanics, no …
Nontensorial generalised Hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators
In this paper, we introduce two families of nontensorial generalised Hermite
polynomials/functions (GHPs/GHFs) in arbitrary dimensions, and develop efficient and …
polynomials/functions (GHPs/GHFs) in arbitrary dimensions, and develop efficient and …
Transporting Higher-Order Quadrature Rules: Quasi-Monte Carlo Points and Sparse Grids for Mixture Distributions
I Klebanov, TJ Sullivan - arXiv preprint arXiv:2308.10081, 2023 - arxiv.org
Integration against, and hence sampling from, high-dimensional probability distributions is of
essential importance in many application areas and has been an active research area for …
essential importance in many application areas and has been an active research area for …
Towards a Probabilistic Foundation for Non-Relativistic and Relativistic Quantum Theory
M Reddiger - 2022 - ttu-ir.tdl.org
The controversy on the interpretation and conceptual foundations of quantum mechanics
has been accompanying the theory since its inception in the 1920s. The question of which …
has been accompanying the theory since its inception in the 1920s. The question of which …