Abstract
We present a general formalism of the finite element method and its computational aspects that influence the solution accuracy of spectral quantum mechanical problems. The possibilities of the method are demonstrated using as an example inversion vibrational spectra of structurally non-rigid complexes.
Similar content being viewed by others
Literature cited
G. Strang and J. Fix, An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs (1973).
R. Jaquet, Th. Chim. Acta.71, No. 2, 425–448 (1987).
R. Jaquet, Chem. Phys.,118, No. 1, 17–23 (1987).
D. J. Malik, J. Eccles, and D. Secrest, J. Comp. Phys.,38, No. 2, 157–184 (1980).
A. V. Tur'ev and N. I. Zhirnov, Opt. Spektrosk.,46, No. 4, 669–672 (1979).
J. B. Coon, N. W. Naugle, and R. D. McKenzie, J. Mol. Spectrosc.,20, No. 1, 107–129 (1966).
V. V. Gusev, S. G. Potapov, and L. P. Sukhanov, Methodical Aspects of Solving OneDimensional Nuclear Schrödinger Equation with Double Well Numerical Potential, Preprint IAE-4760/1, I. V. Kurchatov Institute of Atomic Energy, Moscow (1989).
S. G. Potapov, L. P. Sukhanov, and G. V. Shlyapnikov, Phys. Lett. A,137, No. 7/8, 417–419 (1989).
V. Spirko, J. Mol. Spectrosc.,101, No. 1, 30–47 (1983).
A. I. Boldyrev, Non-empirical Models of Structurally Non-rigid Molecules, Author's Abstract, Mathematical and Physical Sciences Doctor's Dissertation, Chernogolovka (1986).
Additional information
High Energy Physics Institute, Protvino. I. V. Kurchatov, Atomic Energy Institute, Moscow. Translated from Teoreticheskaya i Eksperimental'naya Khimiya, Vol. 27, No. 4, pp. 442–446. July–August, 1991. Original article submitted April 4, 1991.
Rights and permissions
About this article
Cite this article
Gusev, V.V., Potapov, S.G. & Sukhanov, L.P. Application of the finite element method to molecular quantum mechanics. Theor Exp Chem 27, 381–385 (1991). https://doi.org/10.1007/BF01372510
Issue Date:
DOI: https://doi.org/10.1007/BF01372510