Title :
About fuzzy Schrödinger equation
Author :
Golmankhaneh, Alireza Khalili ; Jafarian, Ahmad
Author_Institution :
Dept. of Phys., Islamic Azad Univ., Oromiyeh, Iran
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;
Conference_Titel :
Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
Conference_Location :
Catania
DOI :
10.1109/ICFDA.2014.6967457
