Finite dimensional approximations for the electronic ground state solution of a molecular system | Zendy

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Finite dimensional approximations for the electronic ground state solution of a molecular system

Author(s) -

Zhou Aihui

Publication year - 2006

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.793

Subject(s) - mathematics , discretization , eigenvalues and eigenvectors , ground state , approximations of π , convergence (economics) , nonlinear system , galerkin method , mathematical analysis , quantum mechanics , physics , economics , economic growth

In this paper, finite dimensional approximations for the electronic ground state solution of a molecular system are studied in the Thomas–Fermi–von Weizsäcker type setting. The convergence of the finite dimensional approximations obtained by a Galerkin discretization of the nonlinear eigenvalue equation is proved. In particular, several upper bounds of the approximation errors are established. Copyright © 2006 John Wiley & Sons, Ltd.

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