Quantum derivatives and the Schrodinger equation

被引：30

作者：

Ben Adda, F

Cresson, J

机构：

[1] King Fahd Univ Petr & Minerals, Hail Community Coll, Dept Math Sci, Hail 72000, Saudi Arabia

[2] Univ Franche Comte, CNRS, UMR 6623, F-25030 Besancon, France

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 19卷 / 05期

关键词：

D O I：

10.1016/S0960-0779(03)00339-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Schrodinger equation is derived via the scale-relativity principle and Newton's fundamental equation of dynamics. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：1323 / 1334

页数：12

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