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Acceleration in Quantum Mechanics and Electric Charge Quantization

This research investigates the role of acceleration in quantum mechanics by implementing a generalized derivative operator to modify the standard Schrödinger equation. The authors demonstrate that including acceleration terms significantly alters the wave functions and discrete energy levels for particles in various environments, such as infinite wells and gravitational fields. A notable finding is that this framework provides a theoretical basis for quantized electric charge without requiring the existence of magnetic monopoles or complex gauge theories. Furthermore, the model suggests that ground-state energy for electrons is enhanced when gravitational acceleration is considered. By integrating the reduced Compton wavelength into the equation, the study bridges a gap between non-inertial reference frames and fundamental quantum properties. Ultimately, the work advocates for the necessity of accounting for acceleration to achieve a more accurate description of quantum dynamics. R. A. El-Nabulsi, W. Anukool, “Acceleration in quantum mechanics and electric charge quantization,” Modern Physics Letters A Vol. 36, No. 26 (2021) 2150185. https://doi.org/10.1142/S021773232150...