Determination of Escape Speed from de Broglie-Bohm Interpretation

Escape Speed

Abstract

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.