Matches in SemOpenAlex for { <https://semopenalex.org/work/W2012302822> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W2012302822 endingPage "231" @default.
- W2012302822 startingPage "228" @default.
- W2012302822 abstract "We perform LCAO (linear combination of atomic orbitals) calculations for the ground state of the Yukawa potential V(r)=-(${mathit{e}}^{2}$/r)${mathit{e}}^{mathrm{ensuremath{-}}mathit{q}mathit{r}}$ as a function of the screening parameter q. We obtain the best variational result so far for the ground-state energy ${mathit{E}}_{0}$ as a function of q. We also obtain the critical exponents of both the probability density at the origin and the ground-state energy as functions of (q-${mathit{q}}_{mathit{c}}$), where ${mathit{q}}_{mathit{c}}$ is the critical q above which V(r) does not have a bound state. The use of the critical exponents permits the so far most precise determination of ${mathit{q}}_{mathit{c}}$, ${mathit{q}}_{mathit{c}}$=1.190 612 27ifmmodepmelsetextpmfi{}0.000 000 04. We also show that it is possible to use the LCAO calculations as a tool to determine the analytical form of very precise variational wave functions. We obtain, in such a way, the wave function ensuremath{psi}=(${mathit{e}}^{mathrm{ensuremath{-}}mathit{a}mathit{r}}$-${mathit{e}}^{mathrm{ensuremath{-}}mathit{b}mathit{r}}$)/r+${mathit{e}}^{mathrm{ensuremath{-}}mathit{b}mathit{r}}$/(r+ensuremath{alpha}). This variational wave function has a bound-unbound transition at ${mathit{q}}_{mathit{c}}$=1.190 610 74." @default.
- W2012302822 created "2016-06-24" @default.
- W2012302822 creator A5003497493 @default.
- W2012302822 creator A5004749205 @default.
- W2012302822 creator A5043611115 @default.
- W2012302822 date "1994-07-01" @default.
- W2012302822 modified "2023-09-25" @default.
- W2012302822 title "Variational calculations for the bound-unbound transition of the Yukawa potential" @default.
- W2012302822 cites W1970025264 @default.
- W2012302822 cites W1980393775 @default.
- W2012302822 cites W1980903947 @default.
- W2012302822 cites W2017730143 @default.
- W2012302822 cites W2029188535 @default.
- W2012302822 cites W2048572931 @default.
- W2012302822 cites W2067818707 @default.
- W2012302822 cites W2080455089 @default.
- W2012302822 cites W2085055907 @default.
- W2012302822 cites W2313676962 @default.
- W2012302822 doi "https://doi.org/10.1103/physreva.50.228" @default.
- W2012302822 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/9910886" @default.
- W2012302822 hasPublicationYear "1994" @default.
- W2012302822 type Work @default.
- W2012302822 sameAs 2012302822 @default.
- W2012302822 citedByCount "52" @default.
- W2012302822 countsByYear W20123028222012 @default.
- W2012302822 countsByYear W20123028222013 @default.
- W2012302822 countsByYear W20123028222014 @default.
- W2012302822 countsByYear W20123028222016 @default.
- W2012302822 countsByYear W20123028222017 @default.
- W2012302822 countsByYear W20123028222018 @default.
- W2012302822 countsByYear W20123028222019 @default.
- W2012302822 countsByYear W20123028222020 @default.
- W2012302822 countsByYear W20123028222021 @default.
- W2012302822 countsByYear W20123028222022 @default.
- W2012302822 crossrefType "journal-article" @default.
- W2012302822 hasAuthorship W2012302822A5003497493 @default.
- W2012302822 hasAuthorship W2012302822A5004749205 @default.
- W2012302822 hasAuthorship W2012302822A5043611115 @default.
- W2012302822 hasConcept C113603373 @default.
- W2012302822 hasConcept C11413529 @default.
- W2012302822 hasConcept C114614502 @default.
- W2012302822 hasConcept C121332964 @default.
- W2012302822 hasConcept C151195881 @default.
- W2012302822 hasConcept C174084160 @default.
- W2012302822 hasConcept C184779094 @default.
- W2012302822 hasConcept C186370098 @default.
- W2012302822 hasConcept C33923547 @default.
- W2012302822 hasConcept C37914503 @default.
- W2012302822 hasConcept C41008148 @default.
- W2012302822 hasConcept C48103436 @default.
- W2012302822 hasConcept C62520636 @default.
- W2012302822 hasConcept C69523127 @default.
- W2012302822 hasConceptScore W2012302822C113603373 @default.
- W2012302822 hasConceptScore W2012302822C11413529 @default.
- W2012302822 hasConceptScore W2012302822C114614502 @default.
- W2012302822 hasConceptScore W2012302822C121332964 @default.
- W2012302822 hasConceptScore W2012302822C151195881 @default.
- W2012302822 hasConceptScore W2012302822C174084160 @default.
- W2012302822 hasConceptScore W2012302822C184779094 @default.
- W2012302822 hasConceptScore W2012302822C186370098 @default.
- W2012302822 hasConceptScore W2012302822C33923547 @default.
- W2012302822 hasConceptScore W2012302822C37914503 @default.
- W2012302822 hasConceptScore W2012302822C41008148 @default.
- W2012302822 hasConceptScore W2012302822C48103436 @default.
- W2012302822 hasConceptScore W2012302822C62520636 @default.
- W2012302822 hasConceptScore W2012302822C69523127 @default.
- W2012302822 hasIssue "1" @default.
- W2012302822 hasLocation W20123028221 @default.
- W2012302822 hasLocation W20123028222 @default.
- W2012302822 hasOpenAccess W2012302822 @default.
- W2012302822 hasPrimaryLocation W20123028221 @default.
- W2012302822 hasRelatedWork W2153537854 @default.
- W2012302822 hasRelatedWork W2560750640 @default.
- W2012302822 hasRelatedWork W2618323495 @default.
- W2012302822 hasRelatedWork W2883732756 @default.
- W2012302822 hasRelatedWork W2997019852 @default.
- W2012302822 hasRelatedWork W3100432402 @default.
- W2012302822 hasRelatedWork W3113630669 @default.
- W2012302822 hasRelatedWork W4234385015 @default.
- W2012302822 hasRelatedWork W4320510121 @default.
- W2012302822 hasRelatedWork W4376604108 @default.
- W2012302822 hasVolume "50" @default.
- W2012302822 isParatext "false" @default.
- W2012302822 isRetracted "false" @default.
- W2012302822 magId "2012302822" @default.
- W2012302822 workType "article" @default.