About Schrödinger Equation on Fractals Curves Imbedding in R 3

Khalili Golmankhaneh A., Golmankhaneh A. K., Baleanu D.

International Journal of Theoretical Physics, cilt.54, sa.4, ss.1275-1282, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 54 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s10773-014-2325-0
  • Dergi Adı: International Journal of Theoretical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1275-1282
  • Anahtar Kelimeler: Feynman path, Fractal calculus, Fractal quantum mechanics, Schrëdinger fractional equation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper we introduced the quantum mechanics on fractal time-space. In a suggested formalism the time and space vary on Cantor-set and Von-Koch curve, respectively. Using Feynman path method in quantum mechanics and Fα-calculus we find Schrëdinger equation on on fractal time-space. The Hamiltonian and momentum fractal operator has been indicated. More, the continuity equation and the probability density is given in view of Fα-calculus.