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.
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页码：1323 / 1334
页数：12
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