Confined hydrogen atom by the Lagrange-mesh method: energies, mean radii, and dynamic polarizabilities

Baye, D. ; Sen, K. D. (2008) Confined hydrogen atom by the Lagrange-mesh method: energies, mean radii, and dynamic polarizabilities Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 78 (2). 026701_1-026701_7. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v78/i2/e026701

Related URL: http://dx.doi.org/10.1103/PhysRevE.78.026701

Abstract

The Lagrange-mesh method is an approximate variational calculation which resembles a mesh calculation because of the use of a Gauss quadrature. The hydrogen atom confined in a sphere is studied with Lagrange-Legendre basis functions vanishing at the center and surface of the sphere. For various confinement radii, accurate energies and mean radii are obtained with small numbers of mesh points, as well as dynamic dipole polarizabilities. The wave functions satisfy the cusp condition with 11-digit accuracy.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:45014
Deposited On:24 Jun 2011 13:54
Last Modified:24 Jun 2011 13:54

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