Matches in SemOpenAlex for { <https://semopenalex.org/work/W4225879162> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W4225879162 endingPage "1261" @default.
- W4225879162 startingPage "1221" @default.
- W4225879162 abstract "Abstract In this article we develop and analyse a new spectral method to solve the semiclassical Schrödinger equation based on the Gaussian wave-packet transform (GWPT) and Hagedorn’s semiclassical wave packets. The GWPT equivalently recasts the highly oscillatory wave equation as a much less oscillatory one (the $w$ equation) coupled with a set of ordinary differential equations governing the dynamics of the so-called GWPT parameters. The Hamiltonian of the $ w $ equation consists of a quadratic part and a small nonquadratic perturbation, which is of order $ mathcal{O}(sqrt {varepsilon }) $, where $ varepsilon ll 1 $ is the rescaled Planck constant. By expanding the solution of the $ w $ equation as a superposition of Hagedorn’s wave packets, we construct a spectral method while the $ mathcal{O}(sqrt {varepsilon }) $ perturbation part is treated by the Galerkin approximation. This numerical implementation of the GWPT avoids imposing artificial boundary conditions and facilitates rigorous numerical analysis. For arbitrary dimensional cases, we establish how the error of solving the semiclassical Schrödinger equation with the GWPT is determined by the errors of solving the $ w $ equation and the GWPT parameters. We prove that this scheme has spectral convergence with respect to the number of Hagedorn’s wave packets in one dimension. Extensive numerical tests are provided to demonstrate the properties of the proposed method." @default.
- W4225879162 created "2022-05-05" @default.
- W4225879162 creator A5031373151 @default.
- W4225879162 creator A5037976295 @default.
- W4225879162 creator A5063658771 @default.
- W4225879162 date "2022-05-02" @default.
- W4225879162 modified "2023-10-17" @default.
- W4225879162 title "A novel spectral method for the semiclassical Schrödinger equation based on the Gaussian wave-packet transform" @default.
- W4225879162 cites W1512665241 @default.
- W4225879162 cites W1992388197 @default.
- W4225879162 cites W1995034557 @default.
- W4225879162 cites W2011618387 @default.
- W4225879162 cites W2011800114 @default.
- W4225879162 cites W2013529907 @default.
- W4225879162 cites W2040233055 @default.
- W4225879162 cites W2045391874 @default.
- W4225879162 cites W2046446819 @default.
- W4225879162 cites W2052222626 @default.
- W4225879162 cites W2056972996 @default.
- W4225879162 cites W2056979287 @default.
- W4225879162 cites W2080732943 @default.
- W4225879162 cites W2083191882 @default.
- W4225879162 cites W2094160749 @default.
- W4225879162 cites W2112514557 @default.
- W4225879162 cites W2321155246 @default.
- W4225879162 cites W2520347720 @default.
- W4225879162 cites W2963869985 @default.
- W4225879162 cites W2963876893 @default.
- W4225879162 cites W2991347989 @default.
- W4225879162 cites W3003292238 @default.
- W4225879162 cites W3040128945 @default.
- W4225879162 cites W3102113004 @default.
- W4225879162 cites W4231706539 @default.
- W4225879162 cites W4253937035 @default.
- W4225879162 doi "https://doi.org/10.1093/imanum/drac013" @default.
- W4225879162 hasPublicationYear "2022" @default.
- W4225879162 type Work @default.
- W4225879162 citedByCount "1" @default.
- W4225879162 countsByYear W42258791622023 @default.
- W4225879162 crossrefType "journal-article" @default.
- W4225879162 hasAuthorship W4225879162A5031373151 @default.
- W4225879162 hasAuthorship W4225879162A5037976295 @default.
- W4225879162 hasAuthorship W4225879162A5063658771 @default.
- W4225879162 hasBestOaLocation W42258791622 @default.
- W4225879162 hasConcept C106978608 @default.
- W4225879162 hasConcept C121332964 @default.
- W4225879162 hasConcept C126255220 @default.
- W4225879162 hasConcept C130787639 @default.
- W4225879162 hasConcept C134306372 @default.
- W4225879162 hasConcept C158693339 @default.
- W4225879162 hasConcept C163716315 @default.
- W4225879162 hasConcept C177918212 @default.
- W4225879162 hasConcept C23463724 @default.
- W4225879162 hasConcept C33923547 @default.
- W4225879162 hasConcept C37914503 @default.
- W4225879162 hasConcept C535169671 @default.
- W4225879162 hasConcept C62520636 @default.
- W4225879162 hasConcept C63036615 @default.
- W4225879162 hasConcept C84114770 @default.
- W4225879162 hasConceptScore W4225879162C106978608 @default.
- W4225879162 hasConceptScore W4225879162C121332964 @default.
- W4225879162 hasConceptScore W4225879162C126255220 @default.
- W4225879162 hasConceptScore W4225879162C130787639 @default.
- W4225879162 hasConceptScore W4225879162C134306372 @default.
- W4225879162 hasConceptScore W4225879162C158693339 @default.
- W4225879162 hasConceptScore W4225879162C163716315 @default.
- W4225879162 hasConceptScore W4225879162C177918212 @default.
- W4225879162 hasConceptScore W4225879162C23463724 @default.
- W4225879162 hasConceptScore W4225879162C33923547 @default.
- W4225879162 hasConceptScore W4225879162C37914503 @default.
- W4225879162 hasConceptScore W4225879162C535169671 @default.
- W4225879162 hasConceptScore W4225879162C62520636 @default.
- W4225879162 hasConceptScore W4225879162C63036615 @default.
- W4225879162 hasConceptScore W4225879162C84114770 @default.
- W4225879162 hasFunder F4320321001 @default.
- W4225879162 hasFunder F4320335777 @default.
- W4225879162 hasIssue "2" @default.
- W4225879162 hasLocation W42258791621 @default.
- W4225879162 hasLocation W42258791622 @default.
- W4225879162 hasOpenAccess W4225879162 @default.
- W4225879162 hasPrimaryLocation W42258791621 @default.
- W4225879162 hasRelatedWork W2018352968 @default.
- W4225879162 hasRelatedWork W2130704452 @default.
- W4225879162 hasRelatedWork W2323370885 @default.
- W4225879162 hasRelatedWork W2519968656 @default.
- W4225879162 hasRelatedWork W2950194160 @default.
- W4225879162 hasRelatedWork W2963709155 @default.
- W4225879162 hasRelatedWork W3102734351 @default.
- W4225879162 hasRelatedWork W3198547468 @default.
- W4225879162 hasRelatedWork W4300883336 @default.
- W4225879162 hasRelatedWork W1970595395 @default.
- W4225879162 hasVolume "43" @default.
- W4225879162 isParatext "false" @default.
- W4225879162 isRetracted "false" @default.
- W4225879162 workType "article" @default.