In this research, using the analytical solution of the Fokker-Planck equation, the time-independent drift coefficients for the shape-invariant potentials have been obtained. In this approach, first, the Fokker-Planck equation is converted into a Schrödinger-like equation. Then, using the mechanism of supersymmetric quantum mechanics, the Fokker-Planck equation is analytically solved and its explicit solutions are obtained. In this calculation, the diffusion coefficient is considered a constant. This approach is applicable to shape-invariant potentials which are exactly solvable potentials. Exactly solvable potentials refer to potentials for which all eigenvalues and eigenfunctions can be obtained explicitly. These calculations are used to examine the probability density distribution of laser-accelerated carbon beams after entering the fuel region in the fast ignition method.
Koohrokhi, T., Izadpanah, A., & Shadmehr, A. (2024). Time Independent of Drift Coefficients for Shape Invariant Potentials. Journal of Research on Many-body Systems, (), -. doi: 10.22055/jrmbs.2024.18896
MLA
Taha Koohrokhi; Abdolmajid Izadpanah; Atefeh Shadmehr. "Time Independent of Drift Coefficients for Shape Invariant Potentials". Journal of Research on Many-body Systems, , , 2024, -. doi: 10.22055/jrmbs.2024.18896
HARVARD
Koohrokhi, T., Izadpanah, A., Shadmehr, A. (2024). 'Time Independent of Drift Coefficients for Shape Invariant Potentials', Journal of Research on Many-body Systems, (), pp. -. doi: 10.22055/jrmbs.2024.18896
VANCOUVER
Koohrokhi, T., Izadpanah, A., Shadmehr, A. Time Independent of Drift Coefficients for Shape Invariant Potentials. Journal of Research on Many-body Systems, 2024; (): -. doi: 10.22055/jrmbs.2024.18896
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