Matches in SemOpenAlex for { <https://semopenalex.org/work/W2907631569> ?p ?o ?g. }
- W2907631569 endingPage "56" @default.
- W2907631569 startingPage "49" @default.
- W2907631569 abstract "Abstract The pseudoharmonic and Kratzer potentials have been extensively employed by numerous workers to model the vibrational states of diatomic molecules. These potentials belong to SUperSYmmetric (SUSY) quantum mechanics and the eigenvalues of the Schrodinger equation are known. The energy eigenvalues of the Schrodinger equation for the pseudoharmonic and Kratzer potentials have been determined with different numerical methods as a benchmark of the numerical schemes. We employ a pseudospectral method based on a quadrature grid defined with a nonclassical polynomial basis set. This basis set is defined orthogonal with respect to the square of ground state wavefunction as the weight function. A discrete matrix representation of the Hamiltonian of dimension N is constructed and vibrational energies are calculated with the numerical diagonalization of this matrix. This pseudospectral method is employed to calculate the vibrational energy levels of H2, CO and NO modelled with the pseudoharmonic and Kratzer potentials in comparison with the more realistic Morse potential. The vibrational energy eigenstates for H2 with a realistic quantum mechanical potential and an approximate Morse potential are also calculated. The oversimplified pseudoharmonic and Kratzer potentials are useful for benchmarking numerical methods. However, they represent potential energy curves that can deviate drastically from more exact potentials such as the Morse potential." @default.
- W2907631569 created "2019-01-11" @default.
- W2907631569 creator A5042251525 @default.
- W2907631569 creator A5077348661 @default.
- W2907631569 date "2019-02-01" @default.
- W2907631569 modified "2023-09-24" @default.
- W2907631569 title "Pseudospectral method of solution of the Schrödinger equation for the Kratzer and pseudoharmonic potentials with nonclassical polynomials and applications to realistic diatom potentials" @default.
- W2907631569 cites W1484673478 @default.
- W2907631569 cites W1627795997 @default.
- W2907631569 cites W1964291634 @default.
- W2907631569 cites W1965180462 @default.
- W2907631569 cites W1965418516 @default.
- W2907631569 cites W1966702069 @default.
- W2907631569 cites W1966979649 @default.
- W2907631569 cites W1971625736 @default.
- W2907631569 cites W1971749752 @default.
- W2907631569 cites W1984152548 @default.
- W2907631569 cites W1989231020 @default.
- W2907631569 cites W1993883068 @default.
- W2907631569 cites W2020225089 @default.
- W2907631569 cites W2027346214 @default.
- W2907631569 cites W2031592213 @default.
- W2907631569 cites W2034615053 @default.
- W2907631569 cites W2034734239 @default.
- W2907631569 cites W2039554429 @default.
- W2907631569 cites W2043668260 @default.
- W2907631569 cites W2045621252 @default.
- W2907631569 cites W2045640279 @default.
- W2907631569 cites W2053085259 @default.
- W2907631569 cites W2053492758 @default.
- W2907631569 cites W2054021433 @default.
- W2907631569 cites W2058001439 @default.
- W2907631569 cites W2065012011 @default.
- W2907631569 cites W2071738750 @default.
- W2907631569 cites W2073816808 @default.
- W2907631569 cites W2074915796 @default.
- W2907631569 cites W2079301625 @default.
- W2907631569 cites W2081259298 @default.
- W2907631569 cites W2084928977 @default.
- W2907631569 cites W2085315974 @default.
- W2907631569 cites W2086906815 @default.
- W2907631569 cites W2088175309 @default.
- W2907631569 cites W2102245148 @default.
- W2907631569 cites W2111421995 @default.
- W2907631569 cites W2162852982 @default.
- W2907631569 cites W2304213416 @default.
- W2907631569 cites W2314338278 @default.
- W2907631569 cites W2330598269 @default.
- W2907631569 cites W2411115549 @default.
- W2907631569 cites W2497260793 @default.
- W2907631569 cites W2526389499 @default.
- W2907631569 cites W2560030994 @default.
- W2907631569 cites W2615612497 @default.
- W2907631569 cites W2781220907 @default.
- W2907631569 cites W2790663725 @default.
- W2907631569 cites W2791474308 @default.
- W2907631569 cites W2803934478 @default.
- W2907631569 cites W3102296118 @default.
- W2907631569 cites W4230891588 @default.
- W2907631569 doi "https://doi.org/10.1016/j.comptc.2019.01.001" @default.
- W2907631569 hasPublicationYear "2019" @default.
- W2907631569 type Work @default.
- W2907631569 sameAs 2907631569 @default.
- W2907631569 citedByCount "9" @default.
- W2907631569 countsByYear W29076315692019 @default.
- W2907631569 countsByYear W29076315692020 @default.
- W2907631569 countsByYear W29076315692021 @default.
- W2907631569 countsByYear W29076315692022 @default.
- W2907631569 countsByYear W29076315692023 @default.
- W2907631569 crossrefType "journal-article" @default.
- W2907631569 hasAuthorship W2907631569A5042251525 @default.
- W2907631569 hasAuthorship W2907631569A5077348661 @default.
- W2907631569 hasConcept C121332964 @default.
- W2907631569 hasConcept C185592680 @default.
- W2907631569 hasConcept C62520636 @default.
- W2907631569 hasConcept C63036615 @default.
- W2907631569 hasConceptScore W2907631569C121332964 @default.
- W2907631569 hasConceptScore W2907631569C185592680 @default.
- W2907631569 hasConceptScore W2907631569C62520636 @default.
- W2907631569 hasConceptScore W2907631569C63036615 @default.
- W2907631569 hasFunder F4320334593 @default.
- W2907631569 hasLocation W29076315691 @default.
- W2907631569 hasOpenAccess W2907631569 @default.
- W2907631569 hasPrimaryLocation W29076315691 @default.
- W2907631569 hasRelatedWork W1531601525 @default.
- W2907631569 hasRelatedWork W1990781990 @default.
- W2907631569 hasRelatedWork W2314643286 @default.
- W2907631569 hasRelatedWork W2606768298 @default.
- W2907631569 hasRelatedWork W2606769243 @default.
- W2907631569 hasRelatedWork W2606837276 @default.
- W2907631569 hasRelatedWork W2748952813 @default.
- W2907631569 hasRelatedWork W2899084033 @default.
- W2907631569 hasRelatedWork W2948807893 @default.
- W2907631569 hasRelatedWork W2778153218 @default.
- W2907631569 hasVolume "1149" @default.
- W2907631569 isParatext "false" @default.
- W2907631569 isRetracted "false" @default.
- W2907631569 magId "2907631569" @default.