Faghihi, F. Numerical minimization procedures of the adiabatic approximation wavefunction. (English) Zbl 1068.81070 Appl. Math. Comput. 162, No. 3, 1013-1021 (2005). Summary: The minimization procedures, including Simpson numerical integration and Newton-Raphson differentiation, for a real muonic molecule is carried out. Our present calculations are based on adiabatic approximation to find the ground state binding energy of the muonic molecule. Cited in 1 Document MSC: 81V55 Molecular physics 65D30 Numerical integration 81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory 81-04 Software, source code, etc. for problems pertaining to quantum theory Keywords:Numerical; Integration; Simpson; Computer algebra; Born-Oppenheimer; Muonic molecule; Variational PDF BibTeX XML Cite \textit{F. Faghihi}, Appl. Math. Comput. 162, No. 3, 1013--1021 (2005; Zbl 1068.81070) Full Text: DOI OpenURL References: [1] Belyaev, V.B.; Monakhov, D.E.; Sofianos, S.A.; Sandhas, W., Phys. rev. A, 58, 2760, (1998) [2] Belyaev, V.B.; Motovilov, A.K.; Sandhas, W., J. phys. G, 22, 1111, (1996) [3] Cohen, J.S., Phys. rev. A, 43, 4668, (1991) [4] Eskandari, M.R.; Faghihi, F.; Gheisari, R., Int. J. mod. phys. C, 13, 689, (2002) [5] Eskandari, M.R.; Faghihi, F., Int. J. quantum chem., 93, 377, (2003) [6] Nakamura, S., Applied numerical methods with software, (1991), Prentice-Hall, Inc · Zbl 0753.65003 [7] Sorensen, O.; Federov, D.V.; Jensen, A.S., Phys. rev. A, 66, 2507, (2002) [8] F. Faghihi, K. Hadad, Numerical solutions of coupled differential equations and initial values using Maple software, Appl. Math. Comp., in press · Zbl 1055.65081 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.