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Higher order finite element solution of the one‐dimensional Schrödinger equation
Author(s) -
Eid R.
Publication year - 1999
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/(sici)1097-461x(1999)71:2<147::aid-qua3>3.0.co;2-9
Subject(s) - eigenvalues and eigenvectors , bounded function , finite element method , dirichlet boundary condition , mathematics , mathematical analysis , boundary value problem , order (exchange) , schrödinger equation , polynomial , dirichlet distribution , physics , quantum mechanics , finance , economics , thermodynamics
The one‐dimensional Schrödinger equation has been examined by means of the confined system defined on a finite interval. The eigenvalues of the resulting bounded problem subject to the Dirichlet boundary conditions are calculated accurately to 20 significant figures using higher order shape functions in the usual isoparametric finite element method. Numerical results are given for an arbitrary polynomial potential of degree M . ©1999 John Wiley & Sons, Inc. Int J Quant Chem 71: 147–152, 1999