Determination of Escape Speed from de Broglie-Bohm Interpretation
Keywords:de Broglie-Bohm interpretation, escape speed, Newton’s law of gravitation, ionization energy of hydrogen atom
In this study, we apply the standard quantization procedure to the Newtonian equation to obtain the Schrödinger equation. The wave function is obtained and subsequently the de Broglie-Bohm interpretation is applied to the wave function to yield the formulas for escape speed. It is shown that the usual Newtonian formula for escape speed is purely resulted from taking the asymptotic form of Bessel functions. We then extend our work to hydrogen atom and show that the work done to eject the electron away from proton is in discrete form. The ionization energy for ground state of hydrogen atom from escape kinetic energy method is obtained.
How to Cite
Copyright (c) 2020 International Journal of Fundamental Physical Science
This work is licensed under a Creative Commons Attribution 4.0 International License.