FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1996460759> ?p ?o ?g. }

• W1996460759 abstract "The conjugate symmetric Lanczos (CSL) method is introduced for the solution of the time-dependent Schrodinger equation. This remarkably simple and efficient time-domain algorithm is a low-order polynomial expansion of the quantum propagator for time-independent Hamiltonians and derives from the time-reversal symmetry of the Schrodinger equation. The CSL algorithm gives forward solutions by simply complex conjugating backward polynomial expansion coefficients. Interestingly, the expansion coefficients are the same for each uniform time step, a fact that is only spoiled by basis incompleteness and finite precision. This is true for the Krylov basis and, with further investigation, is also found to be true for the Lanczos basis, important for efficient orthogonal projection-based algorithms. The CSL method errors roughly track those of the short iterative Lanczos method while requiring fewer matrix-vector products than the Chebyshev method. With the CSL method, only a few vectors need to be stored at a time, there is no need to estimate the Hamiltonian spectral range, and only matrix-vector and vector-vector products are required. Applications using localized wavelet bases are made to harmonic oscillator and anharmonic Morse oscillator systems as well as electrodynamic pulse propagation using the Hamiltonian form of Maxwell's equations. For gold with a Drude dielectric function, the latter is non-Hermitian, requiring consideration of corrections to the CSL algorithm." @default.
• W1996460759 created "2016-06-24" @default.
• W1996460759 creator A5045839389 @default.
• W1996460759 creator A5055126915 @default.
• W1996460759 creator A5066742416 @default.
• W1996460759 creator A5086065596 @default.
• W1996460759 creator A5089962749 @default.
• W1996460759 date "2008-02-14" @default.
• W1996460759 modified "2023-09-25" @default.
• W1996460759 title "Quantum and electromagnetic propagation with the conjugate symmetric Lanczos method" @default.
• W1996460759 cites W1575990399 @default.
• W1996460759 cites W1985198358 @default.
• W1996460759 cites W1985424411 @default.
• W1996460759 cites W1987997783 @default.
• W1996460759 cites W1990448016 @default.
• W1996460759 cites W1997928164 @default.
• W1996460759 cites W2001492843 @default.
• W1996460759 cites W2005315955 @default.
• W1996460759 cites W2012084514 @default.
• W1996460759 cites W2020017746 @default.
• W1996460759 cites W2023190716 @default.
• W1996460759 cites W2027162983 @default.
• W1996460759 cites W2032222091 @default.
• W1996460759 cites W2040078989 @default.
• W1996460759 cites W2042729158 @default.
• W1996460759 cites W2046505462 @default.
• W1996460759 cites W2052372639 @default.
• W1996460759 cites W2059817907 @default.
• W1996460759 cites W2066094548 @default.
• W1996460759 cites W2080022532 @default.
• W1996460759 cites W2083926174 @default.
• W1996460759 cites W2094706090 @default.
• W1996460759 cites W2095055389 @default.
• W1996460759 cites W2095261307 @default.
• W1996460759 cites W2117686912 @default.
• W1996460759 cites W2124037029 @default.
• W1996460759 cites W2126398996 @default.
• W1996460759 cites W2148919391 @default.
• W1996460759 cites W2167985798 @default.
• W1996460759 cites W2962772193 @default.
• W1996460759 cites W3124814038 @default.
• W1996460759 cites W4254600309 @default.
• W1996460759 cites W4255272544 @default.
• W1996460759 doi "https://doi.org/10.1063/1.2828502" @default.
• W1996460759 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/18282024" @default.
• W1996460759 hasPublicationYear "2008" @default.
• W1996460759 type Work @default.
• W1996460759 sameAs 1996460759 @default.
• W1996460759 citedByCount "0" @default.
• W1996460759 crossrefType "journal-article" @default.
• W1996460759 hasAuthorship W1996460759A5045839389 @default.
• W1996460759 hasAuthorship W1996460759A5055126915 @default.
• W1996460759 hasAuthorship W1996460759A5066742416 @default.
• W1996460759 hasAuthorship W1996460759A5086065596 @default.
• W1996460759 hasAuthorship W1996460759A5089962749 @default.
• W1996460759 hasConcept C119256216 @default.
• W1996460759 hasConcept C121332964 @default.
• W1996460759 hasConcept C126255220 @default.
• W1996460759 hasConcept C130787639 @default.
• W1996460759 hasConcept C134306372 @default.
• W1996460759 hasConcept C158693339 @default.
• W1996460759 hasConcept C20501136 @default.
• W1996460759 hasConcept C28826006 @default.
• W1996460759 hasConcept C33923547 @default.
• W1996460759 hasConcept C5917680 @default.
• W1996460759 hasConcept C62520636 @default.
• W1996460759 hasConcept C63036615 @default.
• W1996460759 hasConceptScore W1996460759C119256216 @default.
• W1996460759 hasConceptScore W1996460759C121332964 @default.
• W1996460759 hasConceptScore W1996460759C126255220 @default.
• W1996460759 hasConceptScore W1996460759C130787639 @default.
• W1996460759 hasConceptScore W1996460759C134306372 @default.
• W1996460759 hasConceptScore W1996460759C158693339 @default.
• W1996460759 hasConceptScore W1996460759C20501136 @default.
• W1996460759 hasConceptScore W1996460759C28826006 @default.
• W1996460759 hasConceptScore W1996460759C33923547 @default.
• W1996460759 hasConceptScore W1996460759C5917680 @default.
• W1996460759 hasConceptScore W1996460759C62520636 @default.
• W1996460759 hasConceptScore W1996460759C63036615 @default.
• W1996460759 hasLocation W19964607591 @default.
• W1996460759 hasLocation W19964607592 @default.
• W1996460759 hasOpenAccess W1996460759 @default.
• W1996460759 hasPrimaryLocation W19964607591 @default.
• W1996460759 hasRelatedWork W1967626826 @default.
• W1996460759 hasRelatedWork W1977533978 @default.
• W1996460759 hasRelatedWork W1980808453 @default.
• W1996460759 hasRelatedWork W1983060441 @default.
• W1996460759 hasRelatedWork W2002736022 @default.
• W1996460759 hasRelatedWork W2011398954 @default.
• W1996460759 hasRelatedWork W2014608347 @default.
• W1996460759 hasRelatedWork W2018941350 @default.
• W1996460759 hasRelatedWork W2025783075 @default.
• W1996460759 hasRelatedWork W2029163807 @default.
• W1996460759 hasRelatedWork W2041766666 @default.
• W1996460759 hasRelatedWork W2087336466 @default.
• W1996460759 hasRelatedWork W2136960310 @default.
• W1996460759 hasRelatedWork W2386647381 @default.
• W1996460759 hasRelatedWork W2543917332 @default.
• W1996460759 hasRelatedWork W2942575796 @default.
• W1996460759 hasRelatedWork W2963331089 @default.

• next