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Error bounds for quantum-mechanical perturbation theory

โœ Scribed by Roy G. Gordon


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
392 KB
Volume
2
Category
Article
ISSN
0020-7608

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๐Ÿ“œ SIMILAR VOLUMES


Upper and lower bounds in quantum mechan
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Upper and lower bounds to quantum mechanical second order perturbation quantities are found using the method of Linear Programming. In this paper bounds on the polarizability of hydrogen, helium and neon are obtained using the sum rules popularized by Dalgarno.

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## Abstract Upper and lower bounds for the secondโ€order energy in both coupled and uncoupled Hartreeโ€Fock perturbation theories are derived. Using these bounds inequalities are derived for the error in the geometric approximation.

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โœ R. Ahlrichs ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 451 KB

E&WI bounds for apptoximsteIy cticulated nth order wavefunctions and energies of the Rayleigh-SchrBdLnger perturbation expansion are derived. Aa alternative to the ~y~~-~t-Sche~ variation te&nique P proposed which is designed to keep the a~rnu~~o~ of errors as small as possiile. \* To be man? precis

Rounding-error and perturbation bounds f
โœ Sanja Singer; Saลกa Singer ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

Indefinite QR factorization is a generalization of the well-known QR factorization, where Q is a unitary matrix with respect to the given indefinite inner product matrix J. This factorization can be used for accurate computation of eigenvalues of the Hermitian matrix A = G \* J G, where G and J are