We define a scale derivative for non-differentiable functions. It is constructed via quantum derivatives which take into account non-differentiability and the existence of a minimal resolution for mean representation. This justify heuristic computations made by Nottale in scale-relativity. In partic
✦ LIBER ✦
Quantum scattering via the discretisation of Schrödinger's equation
✍ Scribed by A. Alexopoulos
- Book ID
- 108240747
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 138 KB
- Volume
- 363
- Category
- Article
- ISSN
- 0375-9601
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## Abstract The Schrödinger equation is one of the most important equations in mathematics, physics and also engineering. We outline some connections between transformations of non‐linear equations, the Schrödinger equation and the inverse scattering transform. After some remarks on generalizations