Calculating the Bohr radius or velocity of an excitons

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SUMMARY

The discussion focuses on the calculation of the Bohr radius and velocity of excitons in semiconductors, specifically Gallium Arsenide (GaAs). Participants question the validity of using static permittivity in these calculations, particularly at high frequencies around ω=1015 Hz, where the mass of the electron and hole may influence the results. The consensus indicates that static permittivity can be applied under certain conditions despite the high-frequency measurements.

PREREQUISITES
  • Understanding of exciton physics in semiconductors
  • Familiarity with the concept of permittivity
  • Knowledge of high-frequency spectroscopy techniques
  • Basic principles of quantum mechanics
NEXT STEPS
  • Research the role of static versus dynamic permittivity in semiconductor physics
  • Explore the properties of excitons in GaAs and other semiconductors
  • Learn about high-frequency measurement techniques in solid-state physics
  • Study the mathematical derivation of the Bohr radius for excitons
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Physicists, materials scientists, and students studying semiconductor physics, particularly those interested in exciton behavior and high-frequency measurements.

supercali
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while doing some calculations such as calculating the Bohr radius or velocity of an excitons in semiconductors such as GaAs I didnt understand why is it allowed to use the static permittivity even though the electron and hole aren't as heavy and the spectra is measured at high frequencies such as \omega=10^{15}Hz?
 
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anyone ?
 

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