Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis

Boundary value problems

Xiao-Jun Yang¹  Jos Antnio Tenreiro Machado²  Dumitru Baleanu³ 

[1] Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, China;Institute of Applied Mathematics, Qujing Normal University, Qujing, China;Institute of Software Science, Zhengzhou Normal University, Zhengzhou, China

关键词: Heisenberg uncertainty principle;    local fractional Fourier operator;    Schrödinger equation;    fractal time-space;   

DOI  :  10.1186/1687-2770-2013-131

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we discuss the mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis. The Schrödinger equation and Heisenberg uncertainty principles are structured within local fractional operators.

【 授权许可】

CC BY