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About Schr?dinger Equation on Fractals Curves Imbedding in R 3
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  • 作者：Alireza Khalili Golmankhaneh…
  • 关键词：Fractal calculus ; Fractal quantum mechanics ; Feynman path ; Schr?dinger fractional equation
  • 刊名：International Journal of Theoretical Physics
  • 出版年：2015
  • 出版时间：April 2015
  • 年：2015
  • 卷：54
  • 期：4
  • 页码：1275-1282
  • 全文大小：190 KB
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    Elementary Particles and Quantum Field Theory
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  • 出版者：Springer Netherlands
  • ISSN：1572-9575
文摘
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 F α -calculus we find Schr?dinger 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 F α -calculus.

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