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Höynälänmaa, T. (2015) Multiresolution Analysis for Compactly Supported Interpolating Tensor Product Wavelets. International Journal of Wavelets, Multiresolution and Information Processing, 13, Article ID: 1550010.
https://doi.org/10.1142/s0219691315500101

has been cited by the following article:

• TITLE: Wavelet Basis and Fourier Transform Approach to Path Integral Formulation of Electron Dynamics

  AUTHORS: Tommi Höynälänmaa

  KEYWORDS: Path Integral, Wavelet, Quantum Chemistry, Hydrogen Atom, Quantum Physics, Fourier Transform

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.10, October 15, 2025

  ABSTRACT: We present a method for the path integral formulation of electronic structure simulation. The time evolution operator is represented as matrix in a basis consisting of Deslauriers-Dubuc or Daubechies wavelets. We present an approximation of the path integral kernel and a method for calculating wavefunctions. The kernel is tested by finding wavefunctions and eigenenergies of one-dimensional and three-dimensional harmonic oscillators and hydrogen atom in one and three dimensions.