Abstract
In this study, we discuss the central force problem by using the nonlocal-in-time kinetic energy approach. At low length scales, the system is dominated by the generalized 4th-order extended Fisher-Kolmogorov stationary equation and by the 4th-order stationary Swift-Hohenberg differential equation under explicit conditions. The energy is a conserved quantity along orbits of the extended Fisher-Kolmogorov stationary equation. The system is quantized, the system is stable, and the ground energy problem is solved.
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