Quantum derivatives and the Schrödinger equation

✍ Scribed by Fayçal Ben Adda; Jacky Cresson

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 164 KB
• Volume: 19
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(03)00339-4

✦ Synopsis

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 particular, the Schr€ o odinger equation is derived via the scale-relativity principle and NewtonÕs fundamental equation of dynamics.