On the Fundamental Solution of Semiclassical Schrödinger Equations at Resonant Times
✍ Scribed by André Martinez; Kenji Yajima
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 136 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0010-3616
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📜 SIMILAR VOLUMES
We consider the generalized Schro dinger operator &2++, where + is a nonnegative Radon measure in R n , n 3. Assuming that + satisfies certain scale-invariant Kato conditions and doubling conditions we establish the following bounds for the fundamental solution of &2++ in R n , where d(x, y, +) is
In this paper we study time-splitting spectral approximations for the linear Schrödinger equation in the semiclassical regime, where the Planck constant ε is small. In this regime, the equation propagates oscillations with a wavelength of O(ε), and finite difference approximations require the spatia