Breakdown of the Gaussian approximation in semi-quantum liquids
β Scribed by M Celli; D Colognesi; A.J Ramirez-Cuesta; M Zoppi
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 192 KB
- Volume
- 350
- Category
- Article
- ISSN
- 0921-4526
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Band shapes of liquid water OH vibrational spectra oblained from molecular dynamics (MD) simulation and from a quantummechanical method are investigated. The so-called "frozen-field approximation" applied to the calculation of quantum-mechanical high-frequency vibrational spectra is critically exami
We consider the average case L -approximation of functions from C r ([0, 1]) with respect to the r-fold Wiener measure. An approximation is based on n function evaluations in the presence of Gaussian noise with variance \_ 2 >0. We show that the n th minimal average error is of order n &(2r+1)Γ(4r+4