FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4307284966> ?p ?o ?g. }

• W4307284966 abstract "This article concerns the use of parallel transport to create a diabatic basis. The advantages of the parallel-transported basis include the facility with which Taylor series expansions can be carried out in the neighborhood of a point or a manifold such as a seam (the locus of degeneracies of the electronic Hamiltonian), and the close relationship between the derivative couplings and the curvature in this basis. These are important for analytic treatments of the nuclear Schrödinger equation in the neighborhood of degeneracies. The parallel-transported basis bears a close relationship to the singular-value basis; in this article, both are expanded in power series about a reference point and are shown to agree through second order but not beyond. Taylor series expansions are effected through the projection operator, whose expansion does not involve energy denominators or any type of singularity and in terms of which both the singular-value basis and the parallel-transported basis can be expressed. The parallel-transported basis is a version of Poincaré gauge, well known in electromagnetism, which provides a relationship between the derivative couplings and the curvature and which, along with a formula due to Mead, affords an efficient method for calculating Taylor series of the basis states and the derivative couplings. The case in which fine structure effects are included in the electronic Hamiltonian is covered." @default.
• W4307284966 created "2022-10-31" @default.
• W4307284966 creator A5055420458 @default.
• W4307284966 creator A5072430503 @default.
• W4307284966 creator A5077320505 @default.
• W4307284966 date "2022-11-09" @default.
• W4307284966 modified "2023-09-29" @default.
• W4307284966 title "The parallel-transported (quasi)-diabatic basis" @default.
• W4307284966 cites W1517218431 @default.
• W4307284966 cites W1577605785 @default.
• W4307284966 cites W1966925427 @default.
• W4307284966 cites W1968292597 @default.
• W4307284966 cites W1969722341 @default.
• W4307284966 cites W1971088646 @default.
• W4307284966 cites W1977783398 @default.
• W4307284966 cites W1979426988 @default.
• W4307284966 cites W1979990827 @default.
• W4307284966 cites W1980681821 @default.
• W4307284966 cites W1996261801 @default.
• W4307284966 cites W1997227345 @default.
• W4307284966 cites W2001661873 @default.
• W4307284966 cites W2002110641 @default.
• W4307284966 cites W2003387611 @default.
• W4307284966 cites W2006237002 @default.
• W4307284966 cites W2006546439 @default.
• W4307284966 cites W2006705633 @default.
• W4307284966 cites W2007242923 @default.
• W4307284966 cites W2007638331 @default.
• W4307284966 cites W2010029316 @default.
• W4307284966 cites W2011862631 @default.
• W4307284966 cites W2012651417 @default.
• W4307284966 cites W2017730899 @default.
• W4307284966 cites W2019678428 @default.
• W4307284966 cites W2022648984 @default.
• W4307284966 cites W2023119502 @default.
• W4307284966 cites W2024524738 @default.
• W4307284966 cites W2025153193 @default.
• W4307284966 cites W2025357349 @default.
• W4307284966 cites W2026683877 @default.
• W4307284966 cites W2034518355 @default.
• W4307284966 cites W2035916392 @default.
• W4307284966 cites W2042810961 @default.
• W4307284966 cites W2043453635 @default.
• W4307284966 cites W2060793661 @default.
• W4307284966 cites W2062775026 @default.
• W4307284966 cites W2080081205 @default.
• W4307284966 cites W2080574553 @default.
• W4307284966 cites W2081112065 @default.
• W4307284966 cites W2082071546 @default.
• W4307284966 cites W2084997675 @default.
• W4307284966 cites W2087875621 @default.
• W4307284966 cites W2088812785 @default.
• W4307284966 cites W2089284751 @default.
• W4307284966 cites W2090622080 @default.
• W4307284966 cites W2091320070 @default.
• W4307284966 cites W2092363784 @default.
• W4307284966 cites W2093835330 @default.
• W4307284966 cites W2097780038 @default.
• W4307284966 cites W2106293973 @default.
• W4307284966 cites W2114780013 @default.
• W4307284966 cites W2123393632 @default.
• W4307284966 cites W2130647107 @default.
• W4307284966 cites W2158444034 @default.
• W4307284966 cites W2301097217 @default.
• W4307284966 cites W2321783554 @default.
• W4307284966 cites W2416641138 @default.
• W4307284966 cites W2467501989 @default.
• W4307284966 cites W2491861284 @default.
• W4307284966 cites W3020634593 @default.
• W4307284966 cites W3026919325 @default.
• W4307284966 cites W3128625163 @default.
• W4307284966 cites W3139413683 @default.
• W4307284966 cites W4240839637 @default.
• W4307284966 cites W631890289 @default.
• W4307284966 doi "https://doi.org/10.1063/5.0122781" @default.
• W4307284966 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/36379778" @default.
• W4307284966 hasPublicationYear "2022" @default.
• W4307284966 type Work @default.
• W4307284966 citedByCount "1" @default.
• W4307284966 countsByYear W43072849662023 @default.
• W4307284966 crossrefType "journal-article" @default.
• W4307284966 hasAuthorship W4307284966A5055420458 @default.
• W4307284966 hasAuthorship W4307284966A5072430503 @default.
• W4307284966 hasAuthorship W4307284966A5077320505 @default.
• W4307284966 hasBestOaLocation W43072849662 @default.
• W4307284966 hasConcept C104317684 @default.
• W4307284966 hasConcept C109663097 @default.
• W4307284966 hasConcept C115852967 @default.
• W4307284966 hasConcept C121332964 @default.
• W4307284966 hasConcept C12426560 @default.
• W4307284966 hasConcept C126255220 @default.
• W4307284966 hasConcept C130787639 @default.
• W4307284966 hasConcept C134306372 @default.
• W4307284966 hasConcept C158448853 @default.
• W4307284966 hasConcept C158946198 @default.
• W4307284966 hasConcept C16171025 @default.
• W4307284966 hasConcept C17020691 @default.
• W4307284966 hasConcept C185592680 @default.
• W4307284966 hasConcept C19492387 @default.
• W4307284966 hasConcept C195065555 @default.

• next