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Back-of-envelope derivation of the analytical formulas of the atomic wave functions of a D-dimensional atom

✍ Scribed by Haruo Hosoya

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
155 KB
Volume
64
Category
Article
ISSN
0020-7608

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✦ Synopsis

A simple algebraic manipulation is presented for obtaining the analytical rectangular coordinate expressions of the atomic orbital wave functions with angular quantum number l of a D-dimensional atom, where no hyperspherical harmonics or any differential calculus is involved. A general expression of the D-dimensional f-orbitals is given which supplements the previously obtained result of D-dimensional d-orbitals.

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