About fuzzy schrodinger equation

Khalili Golmankhaneh A., Jafarian A.

2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014, Catania, İtalya, 23 - 25 Haziran 2014, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1109/icfda.2014.6967457
  • Basıldığı Şehir: Catania
  • Basıldığı Ülke: İtalya
  • Anahtar Kelimeler: fuzzy boundary condition, Fuzzy Linear Equation, Fuzzy Schrödinger, Heisenberg's uncertainty, Kandel-Fridman Ming derivative
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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 Schrodinger equation equipped with fuzzy conditions. The analytical result is derived and plotted. We used Kandel-Fridman Ming derivative in the fuzzy Schrodinger equation. The crisp result for all examples can be obtained by choosing the r = 1.