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HandWiki. Fractional Schrödinger Equation. Encyclopedia. Available online: https://encyclopedia.pub/entry/30828 (accessed on 23 September 2026).
HandWiki. Fractional Schrödinger Equation. Encyclopedia. Available at: https://encyclopedia.pub/entry/30828. Accessed September 23, 2026.
HandWiki. "Fractional Schrödinger Equation" Encyclopedia, https://encyclopedia.pub/entry/30828 (accessed September 23, 2026).
HandWiki. (2022, October 24). Fractional Schrödinger Equation. In Encyclopedia. https://encyclopedia.pub/entry/30828
HandWiki. "Fractional Schrödinger Equation." Encyclopedia. Web. 24 October, 2022.
Fractional Schrödinger Equation
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The content is sourced from: https://handwiki.org/wiki/Physics:Fractional_Schr%C3%B6dinger_equation

The fractional Schrödinger equation is a fundamental equation of fractional quantum mechanics. It was discovered by Nick Laskin (1999) as a result of extending the Feynman path integral, from the Brownian-like to Lévy-like quantum mechanical paths. The term fractional Schrödinger equation was coined by Nick Laskin.

fractional fundamental equation

References

  1. Laskin, Nick (18 November 2002). "Fractional Schrödinger equation". Physical Review E 66 (5): 056108. doi:10.1103/physreve.66.056108. ISSN 1063-651X. PMID 12513557.  https://dx.doi.org/10.1103%2Fphysreve.66.056108
  2. S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives, Theory and Applications ~Gordon and Breach, Amsterdam, 1993
  3. Laskin, Nick (1 August 2000). "Fractional quantum mechanics". Physical Review E (American Physical Society (APS)) 62 (3): 3135–3145. doi:10.1103/physreve.62.3135. ISSN 1063-651X. PMID 11088808.  https://dx.doi.org/10.1103%2Fphysreve.62.3135
  4. Tayurskii, D A; Lysogorskiy, Yu V (29 November 2012). "Superfluid hydrodynamic in fractal dimension space". Journal of Physics: Conference Series (IOP Publishing) 394: 012004. doi:10.1088/1742-6596/394/1/012004. ISSN 1742-6588.  https://dx.doi.org/10.1088%2F1742-6596%2F394%2F1%2F012004
  5. Laskin, Nick (2000). "Fractals and quantum mechanics". Chaos: An Interdisciplinary Journal of Nonlinear Science (AIP Publishing) 10 (4): 780–790. doi:10.1063/1.1050284. ISSN 1054-1500. PMID 12779428.  https://dx.doi.org/10.1063%2F1.1050284
  6. Bohr, N. (1913). "XXXVII. On the constitution of atoms and molecules". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science (Informa UK Limited) 26 (153): 476–502. doi:10.1080/14786441308634993. ISSN 1941-5982. https://zenodo.org/record/1430916. 
  7. L.D. Landau and E.M. Lifshitz, Quantum mechanics (Non-relativistic Theory), Vol.3, Third Edition, Course of Theoretical Physics, Butterworth-Heinemann, Oxford, 2003
  8. Colas, David (2020). "Self-accelerating beam dynamics in the space fractional Schrödinger equation". Physical Review Research 2: 033274. doi:10.1103/PhysRevResearch.2.033274.  https://dx.doi.org/10.1103%2FPhysRevResearch.2.033274
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