Basis functions with arbitrary quantum numbers can be attained from those with the lowest numbers by applying shift operators. We derive the general expressions and the recurrence relations of these operators for Cartesian basis sets with Gaussian and exponential radial factors. In correspondence, t
Gaussian functions and Daubechies operators
✍ Scribed by Jingde Du; M. W. Wong
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2000
- Tongue
- English
- Weight
- 254 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0378-620X
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We study the asymptotic form as p r ϱ of the Daubechies orthogonal minimum phase filter h p [n], scaling function f p (t), and wavelet w p (t). Kateb and Lemarie ´calculated the leading term in the phase of the frequency response leads us to a problem in stationary phase, for an oscillatory integra
## Abstract Formulas are presented for the evaluation of the expectation values of various monoelectronic operators. The integrals are based on „Hermite‐Gausian”︁ or „Modified Gaussian Functions”︁ and are expressed in suitable form for a computer programming. It is pointed out that the final expres