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Linear Eigenvalue Problems in Quantum Chemistry
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2023 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Linjärt egenvärde Problem inom kvantkemi kvantkemi (Swedish)
Abstract [en]

In this thesis, a method to calculate eigenpairs is implemented for the Multipsi library. While the standard implemtentations use the Davidson method with Rayleigh-Ritz extraction to calculate the eigenpairs with the lowest eigenvalues, the new method uses the harmonic Davidson method with the harmonic Rayleigh-Ritz extraction to calculate eigenpairs with eigenvalues near a chosen target. This is done for Configuration Interaction calculations and for Multiconfigurational methods. From calculations, it seems the new addition to the Multipsi library is worth investigating further as convergence for difficult systems with a lot of near-degeneracy was improved.

Abstract [sv]

I denna avhandling implementeras en metod för att beräkna egenpar för Multipsi-biblioteket. Medan standardimplementeringarna använder Davidson-metoden med Rayleigh-Ritz-extraktion för att beräkna egenparen med de lägsta egenvärdena, använder den nya metoden den harmoniska Davidson-metoden med den harmoniska Rayleigh-Ritz-extraktionen för att beräkna egenparen med egenvärden nära ett valt mål. Detta görs för konfigurationsinteraktionsberäkningar och för multikonfigurationsmetoder. Utifrån beräkningarna verkar det nya tillskottet till Multipsi-biblioteket vara värt att undersöka vidare eftersom konvergensen för svåra system med mycket nära degenerering förbättrades.

Place, publisher, year, edition, pages
2023. , p. 86
Series
TRITA-SCI-GRU ; 2023:398
Keywords [en]
Quantum Chemistry, Applied Mathematics, Linear Eigenvalue Problem, Configuration Interaction, Multiconfigurational Methods, Subspace Methods
Keywords [sv]
Kvantkemi, tillämpad matematik, linjärt egenvärdesproblem, konfigurationsinteraktion, multikonfigurationsmetoder, underrymdsmetoder
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-345170OAI: oai:DiVA.org:kth-345170DiVA, id: diva2:1849658
Subject / course
Scientific Computing
Educational program
Master of Science - Computer Simulation for Science and Engineering
Supervisors
Examiners
Available from: 2024-04-08 Created: 2024-04-08 Last updated: 2024-04-08Bibliographically approved

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