Matches in SemOpenAlex for { <https://semopenalex.org/work/W1983527026> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W1983527026 endingPage "100" @default.
- W1983527026 startingPage "83" @default.
- W1983527026 abstract "The eigenvalues of the radial Schrödinger equation are calculated very accurately by obtaining exact upper and lower bounds. By truncating the usual unbounded domain [0, ∞) of the system to a finite interval of the form [0, l ], two auxiliary eigenvalue problems are defined. It is then proved that the eigenvalues of the resulting confined systems provide upper and lower bounds converging monotonically to the true eigenvalues required. Moreover, each auxiliary eigenvalue problem gives rise to an orthonormal set involving Bessel functions. The matrix representation of the Hamiltonian is, therefore, derived by expanding the wave function into a Fourier-Bessel series. Numerical results for single- and double-well polynomial oscillators as well as Gaussian type non-polynomial potentials illustrate that the eigenvalues can be calculated to an arbitrary accuracy, whenever the boundary parameter l is in the neighborhood of some critical value, denoted by l cr ." @default.
- W1983527026 created "2016-06-24" @default.
- W1983527026 creator A5012848954 @default.
- W1983527026 creator A5082412861 @default.
- W1983527026 date "1998-08-01" @default.
- W1983527026 modified "2023-09-29" @default.
- W1983527026 title "Two-sided eigenvalue bounds for the spherically symmetric states of the Schrödinger equation" @default.
- W1983527026 cites W1963779966 @default.
- W1983527026 cites W1968743632 @default.
- W1983527026 cites W1983082926 @default.
- W1983527026 cites W1984241503 @default.
- W1983527026 cites W1987191357 @default.
- W1983527026 cites W1993736644 @default.
- W1983527026 cites W1997424870 @default.
- W1983527026 cites W2000931274 @default.
- W1983527026 cites W2004449471 @default.
- W1983527026 cites W2010899374 @default.
- W1983527026 cites W2011782388 @default.
- W1983527026 cites W2016667319 @default.
- W1983527026 cites W2019219786 @default.
- W1983527026 cites W2029830484 @default.
- W1983527026 cites W2030636658 @default.
- W1983527026 cites W2036638109 @default.
- W1983527026 cites W2039357206 @default.
- W1983527026 cites W2041289746 @default.
- W1983527026 cites W2049083765 @default.
- W1983527026 cites W2057368255 @default.
- W1983527026 cites W2057869518 @default.
- W1983527026 cites W2067265108 @default.
- W1983527026 cites W2069226787 @default.
- W1983527026 cites W2071386217 @default.
- W1983527026 cites W2081338783 @default.
- W1983527026 cites W2084859777 @default.
- W1983527026 cites W2092785533 @default.
- W1983527026 cites W2119332234 @default.
- W1983527026 cites W2131220051 @default.
- W1983527026 cites W2146477128 @default.
- W1983527026 cites W2171020149 @default.
- W1983527026 cites W2798456356 @default.
- W1983527026 doi "https://doi.org/10.1016/s0377-0427(98)00073-9" @default.
- W1983527026 hasPublicationYear "1998" @default.
- W1983527026 type Work @default.
- W1983527026 sameAs 1983527026 @default.
- W1983527026 citedByCount "10" @default.
- W1983527026 countsByYear W19835270262015 @default.
- W1983527026 countsByYear W19835270262018 @default.
- W1983527026 countsByYear W19835270262019 @default.
- W1983527026 crossrefType "journal-article" @default.
- W1983527026 hasAuthorship W1983527026A5012848954 @default.
- W1983527026 hasAuthorship W1983527026A5082412861 @default.
- W1983527026 hasBestOaLocation W19835270261 @default.
- W1983527026 hasConcept C121332964 @default.
- W1983527026 hasConcept C134306372 @default.
- W1983527026 hasConcept C158693339 @default.
- W1983527026 hasConcept C28826006 @default.
- W1983527026 hasConcept C33923547 @default.
- W1983527026 hasConcept C37914503 @default.
- W1983527026 hasConcept C62520636 @default.
- W1983527026 hasConcept C63036615 @default.
- W1983527026 hasConceptScore W1983527026C121332964 @default.
- W1983527026 hasConceptScore W1983527026C134306372 @default.
- W1983527026 hasConceptScore W1983527026C158693339 @default.
- W1983527026 hasConceptScore W1983527026C28826006 @default.
- W1983527026 hasConceptScore W1983527026C33923547 @default.
- W1983527026 hasConceptScore W1983527026C37914503 @default.
- W1983527026 hasConceptScore W1983527026C62520636 @default.
- W1983527026 hasConceptScore W1983527026C63036615 @default.
- W1983527026 hasIssue "1-2" @default.
- W1983527026 hasLocation W19835270261 @default.
- W1983527026 hasOpenAccess W1983527026 @default.
- W1983527026 hasPrimaryLocation W19835270261 @default.
- W1983527026 hasRelatedWork W1456681287 @default.
- W1983527026 hasRelatedWork W2044164203 @default.
- W1983527026 hasRelatedWork W2058860146 @default.
- W1983527026 hasRelatedWork W2062947215 @default.
- W1983527026 hasRelatedWork W2100631265 @default.
- W1983527026 hasRelatedWork W2205433419 @default.
- W1983527026 hasRelatedWork W2323370885 @default.
- W1983527026 hasRelatedWork W2586095538 @default.
- W1983527026 hasRelatedWork W2953996522 @default.
- W1983527026 hasRelatedWork W3211671608 @default.
- W1983527026 hasVolume "95" @default.
- W1983527026 isParatext "false" @default.
- W1983527026 isRetracted "false" @default.
- W1983527026 magId "1983527026" @default.
- W1983527026 workType "article" @default.