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Asymptotic Expansions of Ellipsoidal Wave Functions and their Characteristic Numbers

✍ Scribed by Harald J. W. Müller

Publisher
John Wiley and Sons
Year
1966
Tongue
English
Weight
488 KB
Volume
31
Category
Article
ISSN
0025-584X

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✦ Synopsis

I t is shown that a simple pair of asymptotic expansions exists for solutions of the ellipsoidal wave equation. An asymptotic expansion for t,he characteristic numbers is also obtained.

📜 SIMILAR VOLUMES

On Asymptotic Expansions of Ellipsoidal
On Asymptotic Expansions of Ellipsoidal Wave Functions
✍ Harald J. W. Müller 📂 Article 📅 1966 🏛 John Wiley and Sons 🌐 English ⚖ 482 KB

dn u + k cn u A . (dn u + k cn u)~'", A . ( d n u -k c n u d n u -k c n u the expansions for A (u) and A (u) being suitable for ~-dnu+(:nu i I > -; d n u h c c n u 3c B.(-. dn u ~-+ k cn -) u d n u -k c n u the expansions for H [ x (u)] and B [ z (u)] being suitable for -~ B . -\_ \_ ~ , -( dn uk cn

Evaluation of integrals over STOs on dif
Evaluation of integrals over STOs on different centers and the complementary convergence characteristics of ellipsoidal-coordinate and zeta-function expansions
✍ H. L. Kennedy; Y. Zhao 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB 👁 1 views

One-electron integrals over three centers and two-electron integrals over Ž . two centers, involving Slater-type orbitals STOs , can be evaluated using either an infinite expansion for 1rr within an ellipsoidal-coordinate system or by employing a 12 one-center expansion in spherical-harmonic and zet