About fuzzy Schrödinger equation

Author

Golmankhaneh, Alireza Khalili ; Jafarian, Ahmad

Author_Institution

Dept. of Phys., Islamic Azad Univ., Oromiyeh, Iran

fYear

2014

fDate

23-25 June 2014

Firstpage

1

Lastpage

5

Abstract

In quantum mechanics, the Heisenberg´s uncertainty principle is an inequalities which it says that we can not measure the conjugate quantities of the particles at the same time with the precision. The fuzzy boundary condition can be a mathematical model for this type of problem. In this paper we consider the Schrödinger equation equipped with fuzzy conditions. The analytical result is derived and plotted. We used Kandel-Fridman Ming derivative in the fuzzy Schrödinger equation. The crisp result for all examples can be obtained by choosing the r = 1.

Keywords

Schrodinger equation; boundary-value problems; indeterminancy; Heisenberg uncertainty principle; Kandel-Fridman Ming derivative; conjugate quantities; fuzzy Schrodinger equation; fuzzy boundary condition; quantum mechanics; Boundary conditions; Differential equations; Equations; Fuzzy sets; Mathematical model; Uncertainty; Fuzzy Linear Equation; Fuzzy Schrödinger; Heisenberg´s uncertainty; Kandel-Fridman Ming derivative; fuzzy boundary condition;

fLanguage

English

Publisher

ieee

Conference_Titel

Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on

Conference_Location

Catania

Type

conf

DOI

10.1109/ICFDA.2014.6967457

Filename

6967457