Electronic structure calculations with interpolating tensor product wavelet basis

Tommi Höynälänmaa, Tapio T. Rantala

Research output: Contribution to journalArticleScientific

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Abstract

We introduce a basis set consisting of three-dimensional Deslauriers--Dubuc wavelets and numerically solve the Schr\"odinger equations of hydrogen atom, helium atom, hydrogen molecule ion, hydrogen molecule, and lithium hydride molecule with Hartree-Fock and DFT methods. We also compute the 2s and 2p excited states of hydrogen. The Coulomb singularity at the nucleus is handled by using a pseudopotential. Results are compared with those of CCCBDB and BigDFT. The eigenvalue problem is solved with Arnoldi and Lanczos methods, and the Poisson equation with GMRES and CGNR methods. The various matrix elements are computed using the biorthogonality relations of the interpolating wavelets.
Original languageEnglish
Number of pages22
JournalarXiv.org
DOIs
Publication statusPublished - 14 Jan 2021
Publication typeB1 Journal article

Keywords

  • quant-ph

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