Bridge Between Quantum and Classical Bremsstrahlung
Year: 2025
Type: preprint
Abstract: This article uses a formula for Action, the path that minimizes energy, which can be written in the Lagrangian form as $ \int (T-V) dt$, which has a solution of a whole number multiple of the quantum of action "nh". Hence, $ \int (T-V) dt = nh$ where n is a whole number multiple, and h is Planck's constant. The article uses $n h = \int mv ds $ and substitutes the position vector that incorporates the bremsstrahlung asymmetry quantity, R, inside. The article rearranges the formula to find the relationship between bremsstrahlung asymmetry, R, as a function of the whole-number multiple of the quantum of action "n", R(n). This is thought to be possible due to angular momentum, which has the same units as action, using a similar procedure to Bohr used when he decided to discretize the angular momentum. Finally, following a similar tuning procedure as Planck did to get Planck's constant, h value, this report tunes the parameter, a whole multiple of quantum of action "n" until it gets the correct scale of the graph which is from Figure 1c to Figure 1d matching and describing the classical prediction of Bremsstrahlung asymmetry in Figure 1a. This allowed predicting the whole number multiple of quantum of action "n" which follows the Bohr correspondence principle, that when the quantum number “n” becomes very large, the quantized behaviour predicted by quantum mechanics should start to look like the smooth, continuous behaviour described by classical physics.
Author: Mert Yucemoz
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W7084144346
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