Bohr's stopping-power formula derived for a classical free-electron gas
| Autor: | Pedro Luis Grande |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Free electron model
Physics Semiclassical physics Poder de freamento eletronico Mathematical formula Expression (computer science) Charged particle Bohr model symbols.namesake Simple (abstract algebra) Quantum mechanics symbols Perda de energia de particulas Stopping power (particle radiation) Gas de fermi |
| Zdroj: | Repositório Institucional da UFRGS Universidade Federal do Rio Grande do Sul (UFRGS) instacron:UFRGS |
| Popis: | Bohr's centenary stopping-power formula is rederived for a free electron gas (FEG) system within the framework of nonrelativistic classical mechanics. A simple and more concise expression for the stopping power of charged particles in FEG is demonstrated on classical grounds. Using semiclassical arguments and the Euler-Maclaurin well-known mathematical formula, Bloch's correction that links Bethe's quantum theory to Bohr's classical model is also recovered. The proposed semiclassical stopping-power formula contains the main physical ingredients for a general stopping formula applicable for different systems and energies and facilitates computational calculations. |
| Databáze: | OpenAIRE |
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