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Sturmian basis sets in momentum space

✍ Scribed by John Avery; Tom Børsen Hansen; Minchang Wang; Frank Antonsen

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
659 KB
Volume
57
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis

The properties of Sturmian basis sets in d-dimensional direct space and d-dimensional momentum space are reviewed, as well as the relationship between hydrogenlike Sturmians and hyperspherical harmonics. The kernel of the reciprocal-space Schrodinger equation is expanded in terms of Strumian basis sets. This expansion allows Shibuya and Wulfman's treatment of many-center Coulomb potentials to be extended to many-center potentials of a general form, and the method is also extended to the calculation of crystal orbitals and band structures.

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