Wide Effectiveness of a Sine Basis for Quantum-Mechanical Problems in d Dimensions

It is shown that the spanning set for L2([0,1]) provided by the eigenfunctions {2sin(nπx)}n=1∞ of the particle in a box in quantum mechanics provides a very effective variational basis for more general problems. The basis is scaled to [a,b], where a and b are then used as variational parameters. Wha...

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Bibliographic Details
Main Authors: Richard L. Hall, Alexandra Lemus Rodríguez
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2013/258203
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